Anna wants to go del taco with her best friend.they can spend no more than $20. Each fish taco is $2.00 and two drinks are $3.75. How many tacos they can order

Answers

Answer 1

The maximum no. of fish tacos they can order is 8.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

let, The no. of fish taco be 'F'.

Therefore, 2F + 3.75 ≤ 20.  

So, The no. of fish tacos they order is,

2F ≤ 20 - 3.75.

2F ≤ 16.25.

F ≤ 16.25/2.

F ≤ 8.125 Or 8 as the no. of fish tacos must be in integers.

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Related Questions

Answer to this required:

Answers

Anything raised to 0 is 1 and anything to the power of 1 is equal to itself

1•9

Solution

9

Answer:

9

Step-by-step explanation:

3.4^0 = 1

9^1 = 9

1 * 9 = 9

A machine at a bakery poured out flour for 16 minutes. At the end of that time, the machine was empty. The graph shows the amount of flour (in grams)
remaining in the machine versus time (in minutes).
Find the domain and the range of the function shown.
Amount
of flour 500
(grams)
300-
Time (minutes)
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
España
8

Answers

Answer:

Step-by-step explanation:

domain 800 and range 16

write the mixed number as an improper fraction

Answers

Answer:

[tex]\frac{19}{6}[/tex]

Step-by-step explanation:

3[tex]\frac{1}6}[/tex]

[tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{1}{6}[/tex]              [tex]\frac{6}{6}[/tex] is another name for 1  How many 6th's do we have?

[tex]\frac{19}{6}[/tex]

The cost of three pens and one rubber is 2.25 the cost of two pens and two rubbers is 1.90 work out how much one pen costs and how much one rubber costs

Answers

Answer:

0.65 pens

2.25 rubber

Step-by-step explanation

You can make two equations with the information given and solve them simultaneously to find x and y. Assume x is pens and y is rubber.

Students performed in a play on a Friday and a Saturday. For both performances. adult tickets cost a dollars each and student tickets costs dollars each. On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1.200. On Saturdas, they sold 140 adult tickets and 50 student tickets, and collect $1,230. Write a system of equations to represent this relationship.

Answers

The system of equations is

125a + 65s = 1200

140a + 50s = 1230

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

125a + 65s = 1200

140a + 50s = 1230

-3500a - 1820s = -33600  

3500a + 1250s = 30750

-570s = -2850

s = $5

student

125a + 65(5) = 1200

125a + 325 = 1200

125a = 875

a = $7 adult

the other situation means that they didn't do it right at all

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The distances between Dry Gulch, Wet Creek, and Soggy River can be represented by a triangle.
The distance between Dry Gulch and Wet Creek is 530 miles and the distance between Dry Gulch and Soggy River is 721 miles. Circle ALL the possible distances below between Wet Creek and Soggy River: SHOW YOUR WORK

Answers

The distance between Wet Creek and Soggy will be 894.03 miles.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The distances between Dry Ravine, Wet Rivulet, and Saturated Waterway can be addressed by a triangle.

The distance between Dry Ravine and Wet Rivulet is 530 miles and the distance between Dry Gorge and Saturated Waterway is 721 miles.

The distance between Wet Creek and Soggy will be given as,

d² = 530² + 721²

d² = 280,900 + 518,400

d² = 799,300

d = 894.03 miles

The distance between Wet River and Soaked will be 894.03 miles.

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A can is in the shape of a cylinder. The can has a volume of 450 cubic inches and a diameter of 4 inches. To the nearest tenth of an inch, what is the height of the can? a O b C Od 35.8 inches 143.2 inches 11.8 inches 9.0 inches


I will mark brainliest to anyone who answers ​

Answers

The answer: A

35.8 inches

answer a

the formula for volume of a cylinder is
V=pi•r^2•h
v=volume
r=radius
h=height
pi=pi(3.14...)

so, 450=3.14•2^2•h
-the 2 came from the diameter, the diameter is double the radius

you can rearrange the equation to solve for h

(450)/(3.14•2^2)=h
when you solve this
h=35.8 inches

it has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem.

Answers

It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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LEAST TO GREATEST ( WILL GIVE BRAINIST IF CORRECT )
PLEASE HURYY

Answers

Answer:
- cube root of 60, -3.2, 24/4, square root of 48

Step-by-step explanation:
The - cube root of 60 = -3.91
-3.2 is greater than 3.91 so it goes next
24/4 = 6.75
And finally, the square root of 48 = 6.9

Hope this helps!

List from least to greatest! ( WILL GIVE BRANILIST IF CORRECT)

Answers

Answer:

need the numbers to do it

Which statement correctly applies mathematical reasoning to find the possible values for x in the equation x − 1.2 = 1.6 and you get this

Answers

Answer:

2.8

Step-by-step explanation:

x-1.2=1.6

x=1.2+1.6

x=2.8

Do not understand this question

Answers

Answer:

  A, C

Step-by-step explanation:

You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.

Enlargement

An enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...

  high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C

When it is enlarged by a factor of 3, the dimensions become ...

  high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A

The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.

The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.

__

Additional comment

An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.

What is the length of the missing side of the triangle below to the nearest tenth of a centimeter?

4^2 + 6^2 = C^2

Answers

Answer:

  7.2 cm

Step-by-step explanation:

You want the value of C to the nearest tenth centimeter, given that 4^2 + 6^2 = C^2.

Solution

Simplifying gives ...

  4^2 + 6^2 = C^2

  16 +36 = C^2 = 52

  C = √52 ≈ 7.2

The length of the missing side is about 7.2 cm.

bella is working two summer jobs, making $10 per hour landscaping and $15 per hour clearing tables. last week bella worked a total of 15 hours and earned a total of $180. graphically solve a system of equations in order to determine the number of hours bella worked landscaping last week, x,x, and the number of hours bella worked clearing tables last week, yy.

Answers

The solution of the system of equations by the graphical methods yields  x equals 9 and y is 6 i.e, 9 hours of landscaping and 6 hours of waiting tables.

Bella worked x hours working landscaping at $10 per hour.

Total amount earned = 10x

Bella worked y hours working on clearing tables at $ 15 per hour

Amount earned = 15 y

x and y are variables as given

She worked a total of 15 hours and she gets $180 for the combined efforts.

The system of equation can be represented as:

x + y = 15

10x + 15y = 180

Now we will solve the two equations graphically:

So from the attached graph we can see that the point (9,6) is the required solution.

Hence she worked landscaping for 9 hours and clearing tables for 6 hours.

Let us solve by substitution to verify the results:

x + y = 15

or, x = 15 - y

Now 10x + 15y = 180

or, 10 (15-y) + 15y = 180

or, 150 - 10y +15y = 180

or, 5y = 180 - 150

or, y = 6

At y = 6 , x = 15 - 6 = 9

Hence (9,6) is the solution.

System of equations also known as simultaneous equations can also be solved by the elimination method.

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Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.6, P(B) = 0.3, and P(C) = 0.1. (a) Among the next 100 customers, what are the mean and variance of the number who pay with a debit card? mean customers variance customers2 (b) Answer part (a) for the number among the 100 who don't pay with cash. mean customers variance customers^2

Answers

Variance  of customers who pay by card = 16

Mean number of customers = 20

Given that,

Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with

P(A)=0.4,

P(B)=0.2,

and

P(C)=0.4

Because we are interested in whether or not a debit card was used, we can use the binomial distribution.

Let X= the number of customers who use a debit card.

Here, probability of customers who pay with debit card (or success) is

p=0.2

(a) Mean and variance of the number of customers who pay with a debit card:

The mean number of customers who pay with a debit card can be calculated as given below:

μ=np =100×0.2

=20

The variance of the number of customers who pay with a debit card can be calculated as given below:

σ²=np(1−p) =100×0.2(1−0.2)

=16

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The number line below is divided into 4 equal parts. Fill in the missing fractions and percentages.
Note that your fractions don't need to be in simplest form.

Answers

We can fill in the remaining fractions and percentages.
as
0             1/4            2/4           3/4              1
|--------------|--------------|--------------|--------------|
0%          25%         50%           75%       100%

What is a number line?

A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.

The missing parts are


0             1/4            2/4           3/4              1
|--------------|--------------|--------------|--------------|
0%          25%         50%           75%       100%

This is how we can fill in the remaining fractions and percentages.

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A local health clinic sent fliers to its clients to encourage everyone, but especially older persons at high risk if complications, to get a flu shot in time for protection against an expected epidemic. In a pilot follow-up study, 159 clients were randomly selected and asked whether they actually received a flu shot. Y - 1 means that the client received a flu shot, whereas Y - 0 indicates that the client didn't receive a flu shot. The following predictor variables were used for the analysis X1: The client's age (continuous variable); X2: Health awareness index (continues variable, for which higher values indicate greater awareness X3: Gender (categorical variable, where 1 denoted for male and 0 for female) (a) Write down the logistic regression model for this case (b) Look at the following output. Formally, which predictors have a significant influence on the response? Using tests to confirm your answer. Analysis of Maximum Likelil Standard Model Fit Statistics Error Intercept 1177 .9824 1 0.07280.0304 1 0.0990 0.0335 1 0.4339 0.5218 Parameter DF Estimate Intercept and Criterion Intercept Only AIC SC 2 Log L Covariates 113.093 125.369 105.093 136.941 140.010 134.941 (c) Overall, is this model significant? Please conduct appropriate procedure to test it. (d) Estimate the probability for Y-1 with X 60, X2 = 30, X3 1. What would be (e) Find the odds ratio for Y-1 between male and female. Also construct a 95% confidence (f) Now we calculate the logistic regression without the predictor variables X1, X3. One your prediction for Y in this case? interval for this odds ratio wishes to know whether this model is significantly different from the previous model Please conduct appropriate procedure to test it. Model Fit Statistics Intercept and CriterionIntercept Only Covariates 136.941 140.010 134.941 Analysis of Maximum Likelihood Estimates AIC SC 2 Log L 117.196 123.334 113.196 Standard Wald Parameter DF EstimateError Chi-Square Pr> ChiSq 0.0025 .0001 Intercept 1 4913 1.6266 9.1170 x2 1 0.1193 0.0301 15.6789

Answers

(a) The logistic regression model in this case is

log(p/(1-p)) = beta0 + beta1X1 + beta2X2 + beta3×X3

where p is the probability of Y-1 (i.e. getting a flu shot), X1 is the customer's age, X2 is the health awareness index, X3 is the gender (1 for men, 0 for women), and beta0, beta1 , beta2 , and beta3 are the estimated coefficients.

(b) From the output, the predictors that have the most influence on the response are X1, X2, and X3. You can confirm this by looking at the p-value of the Wald chi-square test for each predictor. A predictor is considered significant if the p-value is less than 0.05. In this case, the p-values ​​for all three predictors are less than 0.05, indicating that they are all significant.

(c) AIC (Akaike Information Criterion) or SC (Schwarz Criterion) values ​​can be used to determine if the overall model is significant. A lower AIC or SC value indicates a better fit of the model to the data. In this case, both the AIC and SC values ​​are lower for the model with all three predictors (136.941 and 134.941, respectively) compared to the intercept-only model (140.010 and 136.941, respectively). This is significant because the model fits all three predictors better.

(d) These values ​​can be incorporated into a logistic regression model to estimate the probability of Y-1 (getting a flu shot) with X1=60, X2=30, X3=1 (men) .

log(p/(1-p)) = beta0 + beta160 + beta230 + beta3*1

Solving for p gives:

p = 1/(1+exp(-log(p/(1-p))))

You can estimate p using the maximum likelihood estimates of beta0, beta1, beta2, and beta3 provided in the output.

(e) To determine the Y-1 odds ratio for men and women, you can compare the Y-1 odds for men (X3=1) and the Y-1 odds for women (X3=0). Men's Y-1 odds are as follows:

Odds (Y-1 for men) = p/(1-p)

where p is the Y-1 probability of her being male and can be estimated using a logistic regression model and maximum likelihood estimation of the coefficients. Women's Y-1 odds can be calculated in the same way using X3=0.

To create a 95% confidence interval for the odds ratio, use the standard error of the coefficient to calculate the standard error of the log odds ratio. A 95% confidence interval can be calculated as follows:

Odds ratio +/- 1.96×standard error

(f) To test whether the model containing only the intercept is significantly different from the model containing all three predictors, a likelihood ratio test can be used. The null hypothesis is that the model with only the intercept is not significantly different from the model with all three predictors. The alternative hypothesis is that the model with only the intercept is significantly different from the model with all three predictors. The test statistic is computed as

-2×(log probability

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i need help divided 4/7 by 3

Answers

Answer:

0.1904

Step-by-step explanation:

4/7 ÷ 3 is = 0.1904

Answer: I hope this helps

Step-by-step explanation:

4/7 divided by 3

Dividing is equivalent to multiplying by the reciprocal
4/7 times 1/3 or 4/7•1/3

Multiply the fractions

And you get

4/21 or 0.190476

What is true about machine learning algorithms? A/Model is fitted using training dataset B/Performance of the model is assessed using test data C/Model is validated on validation dataset D/Model is calibrated on test dataset E/Validation dataset is used to minize model overfitting Select all what applies to traditional classification tree model: A/Group of answer choices B/Unsupervised learning method C/Requires categorical output(target) variable D/Does not require any output variables E/None of the above F/Supervised learning method

Answers

A. Model is fitted using training dataset and E. Validation dataset is used to minimize model overfitting are true about machine learning algorithms

The process by which an AI system completes its task—generally, forecasting output values from provided input data—is known as a machine learning algorithm. Classification and regression are the two key operations of machine learning algorithms.

Simple linear regression, decision trees, logistic regression, the KNN algorithm, and other well-known supervised learning techniques are some examples.

Machine learning is crucial because it helps businesses identify trends in customer behaviour and operational patterns and facilitates the creation of new goods.

According to the question,

Option A and option E are correct about the machine learning algorithms

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Please help and explain this simple mathematics to me.

Thank you

Answers

I'll go over problem 9 part (a) to get you started.

The sine rule, aka law of sines, is this

[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b} = \frac{\sin(C)}{c}[/tex]

where the uppercase letters A,B,C are the angles and the lowercase letters a,b,c are the sides opposite those respective angles. Eg: angle B is opposite side b.

Some textbooks may have the lowercase letters up top, but it doesn't matter since it's the same ratio. All that matters is things stay consistent. The lowercase letters must be together on the same level, and same goes for the uppercase letters on their own separate level.

We can then break up that equation into these 3 separate equations, to make things more bite-sized so to speak.

[tex]\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\\\\\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\\\\[/tex]

Let's focus on the 3rd equation and do a bit of algebraic manipulation like so

[tex]\frac{\sin(A)}{a} = \frac{\sin(C)}{c}\\\\\sin(A) = \frac{a\sin(C)}{c}\\\\\frac{\sin(A)}{\sin(C)} = \frac{a}{c}\\\\[/tex]

Through similar steps, we can say:

[tex]\frac{\sin(B)}{b} = \frac{\sin(C)}{c}\\\\\sin(B) = \frac{b\sin(C)}{c}\\\\\frac{\sin(B)}{\sin(C)} = \frac{b}{c}\\\\[/tex]

-------------------------------------------

To summarize the previous section, we found that:

[tex]\frac{\sin(A)}{\sin(C)} = \frac{a}{c}\\\\\frac{\sin(B)}{\sin(C)} = \frac{b}{c}\\\\[/tex]

It then allows us to do the following steps for problem 9, part (a)

[tex]\frac{a+b}{c} = \frac{\sin(A)+\sin(B)}{\sin(C)}\\\\\frac{a+b}{c} = \frac{\sin(A)}{\sin(C)}+\frac{\sin(B)}{\sin(C)}\\\\\frac{a+b}{c} = \frac{a}{c}+\frac{b}{c}\\\\\frac{a+b}{c} = \frac{a+b}{c}\\\\[/tex]

We have confirmed that the equation in problem 9 part (a) is indeed an identity. Take note how I kept the left hand side the same the entire time while the right hand side transformed into the left side.

Similar steps will be taken for problem 9, part (b). I'll let you do that part.

Select all of the zero(s) of f(x)

Answers

Answer:

B, F

Step-by-step explanation:

[tex]2x^2(x-4)^2=0 \\ \\ \implies x^2=0, (x-4)^2=0 \\ \\ \implies x=0,4[/tex]

Here is a linear equation: y= 1 4​x+2. What is the x-intercept of the graph of the equation?

Answers

As per the linear equation, the x-intercept of the graph of the equation will be (-8, 0).

What is slope?

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the information given in the question,

The given equation is,

y= -1/4 x + 2

Now, let's take y = 0 for x- intercept,

So, the equation will be,

0 = 1/4x + 2

1/4x = -2

x= -8

The x-intercept is (-8, 0).

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The question sees incomplete, your question may be:

Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?

Which coordinates are the best estimate of the solution to the system of equations. -3x+y=2 -4x+7y=1

Answers

The best estimate of the solution to the system of linear equations is the point are (x,y) will be (0.76, 4.30).

What is linear equations?

A linear equation in two variables is one that is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Given:

as x,y are variables,

-3x + y = 2 ..............(1)

- 4x + 7y = 1 ...........(2)

We know that,

The solution of the system of linear equations is the intersection point of both graphs

Multiply equation (1) by 7 on both sides and then subtract it from eq (2)

- 4x + 7y = 1 ...........(2)

-21x + 7y = 14 ..............(1)

⇒- 17 x = -13

⇒ 17 x = 13

⇒ x =[tex]\frac{13}{17}[/tex]

⇒ x = 0.76

Now on putting value of x  = 0.76 in eq (1) we get

- 3x + y = 2 ............ (1)

⇒- 3(0.76) + y = 2

⇒y = 4.30

The best estimate of the solution to the system of linear equations is the point (x,y) will be (0.76, 4.30).

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NO LINKS!! Please help me with this problem. Part 6ff​

Answers

Answer:

The sequence is not arithmetic. In an arithmetic sequence, the difference between consecutive terms is constant. However, in this sequence, the difference between the terms is not constant. For example, the difference between the first and second terms is 1^5 - 2^5 = -3, while the difference between the second and third terms is 2^5 - 3^5 = -6. Since the difference between consecutive terms is not constant, this sequence is not arithmetic. Therefore, the common difference is NONE.

Answer:

No, the sequence is not arithmetic.

d = NONE

Step-by-step explanation:

An Arithmetic Sequence has a common difference between each term (the difference between each term is the same).

Given sequence:

[tex]1^5, 2^5, 3^5, 4^5, 5^5, ... = 1, 32, 243, 1024, 3125, ...[/tex]

Calculate the difference between each term:

[tex]1 \underset{+31}{\longrightarrow} 32 \underset{+211}{\longrightarrow} 243 \underset{+781}{\longrightarrow} 1024 \underset{+2101}{\longrightarrow} 3125[/tex]

As the difference between each term is not constant, the sequence is not an arithmetic sequence.

Therefore, the common difference, d = NONE.

Use a sign chart to solve the inequality. Express the solution in inequality notation and in interval notation. X2 - 5x - 36 < 0 The solution expressed in inequality notation is.

Answers

The solution in inequality notation and in interval notation is (-∞ . -√5]∪[√5,36)

The term inequality refers the a relationship between two expressions or values that are not equal to each other is called 'inequality.

Here we have given the inequality (x² - 5)/ (x - 36) < 0

And we need to find the solution in inequality notation and in interval notation.

In order to find the inequality notation, we have to solve the given inequality, then we get.

(x² - 5)/ (x - 36) < 0

(x² - 5) < 0

x² < 5

x < √5

While we looking into the inequality we must know that the denominator must not be 0.

So, the interval notation can be written as,

=>  (-∞ . -√5]∪[√5,36)

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1.
Kim's age to her sister's age, you get 36. How old is each
Kim's age is twice that of her sister. When you add
sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

Sister's age will be equal to 12 and Kim's age is 24.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Consider that x is sister's age, Kim's age is twice that of her sister

Thus Kim's age = 2x

Kim’s age + Sister’s age = 36

The equation:

x + 2x = 36

Now solve the equation;

x + 2x = 36

3x = 36

 x = 36 / 3

 x = 12

Therefore, Kim's age = 2x = 2(12) = 24

Hence, Sister's age is 12 and Kim's age is 24.

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Multiply 1 over 3 multiplied by 1 over 5 . (5 points) a negative 1 over 10 b negative 1 over 15 c 1 over 15 d 1 over 10

Answers

1 over 15 is the answer hope it works

Answer:

c 1 over 15

Step-by-step explanation:

To multiply fractions, you can multiply the numerators (top parts) and multiply the denominators (bottom parts) separately.

1/3 * 1/5 = (1 * 1) / (3 * 5) = 1/15

"double check answer"

Multiply.

17.22(−2.4)

Enter your answer in the box.

Answers

Answer:

-41.328

Step-by-step explanation:

Answer:

-41.328

Step-by-step explanation:

Addition multiplied by subtraction gets you subtraction. +-=-

so now, ()= multiplication

so now all you have to do is 17.22 times 2.4 which gets us 41.328

then, add the negative sign which gives you -41.328

yw :)

Determine the equation of the hyperbola with and vertices (6, 4) and (0, 4) and
asymptotes y = 1/3x + 3 and y = = -1/3x + 5.

Answers

The equation of a hyperbola can be written in the form:

(x-h)^2/a^2 - (y-k)^2/b^2 = 1

where (h, k) is the center of the hyperbola, a is the distance from the center to the vertices on the x-axis, and b is the distance from the center to the vertices on the y- axis.

In this case, the vertices of the hyperbola are (6,4) and (0,4), and the center of the hyperbola is at (3,4). The distance from the center to the vertices on the x- axis is 3, and the distance from the center to the vertices on the y- axis is 0.

Plugging these values into the equation for a hyperbola, we get:

(x-3)^2/3^2 - (y-4)^2/0^2 = 1

This equation is not defined, because the value of b is 0. This means that the hyperbola has a horizontal orientation, and its vertices are on the y-axis.

To find the equation of the hyperbola, we need to rewrite the equation in a different form. We can do this by using the fact that the distance between the center of the hyperbola and a point on the hyperbola is given by:

√ ((x-h)^2 + (y-k)^2) = a*√ (1 + (y-k)^2/b^2)

Substituting in the values for h, k, and a, we get:

√ ((x-3)^2 + (y-4)^2) = 3*√ (1 + (y-4)^2/0^2)

This equation can be simplified to:

√ ((x-3)^2 + (y-4)^2) = 3*√((y-4)^2/0^2)

The value of b is still 0, so the equation for the hyperbola is:

(x-3)^2 = 9*(y-4)^2

This is the equation for a horizontal hyperbola with vertices (3,4) and (9,4) and asymptotes y = 1/3x + 3 and y = -1/3x + 5.

What is an equation of the hyperbola?

A hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces which is known as connected components, that are mirror images of each other and resemble two infinite bows.

Therefore, the correct answer is as given above

learn more about hyperbola: https://brainly.com/question/3351710

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Find the measure of one exterior angle in each regular polygon. Round your answer to the
nearest tenth if necessary.
3)
45°
27.7°
51.4°

Answers

360/8

Solution

45 - option A

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