Answer:
[tex]\frac{y+5}{\frac{1}{3}x}\text{ or }{\frac{3y+15}{x}[/tex]
Step-by-step explanation:
The quotient of two numbers [tex]x[/tex] and [tex]y[/tex] can be written as [tex]\frac{x}{y}[/tex], the first number mentioned being the numerator.
In this case, the first value mentioned is 5 more than a number y, which can be represented as [tex]y+5[/tex]. This is our numerator.
The second value mentioned is 3 times less than a number x, which can be represented as [tex]\frac{1}{3}x[/tex] or [tex]\frac{x}{3}[/tex]. This is our denominator.
Thus, the quotient of these two numbers is [tex]\frac{y+5}{\frac{x}{3}}=\frac{y+5}{1}\cdot \frac{3}{x}=\frac{3(y+5)}{x}=\boxed{\frac{3y+15}{x}}[/tex]
Answer:
3 x times tens equal 11 you need to divide
Solve for x:
X-7 = 4
O A) x = 11
OB) x= 28
OC) x = 14
OD X=3
Answer:
x = 11
Step-by-step explanation:
X-7 = 4
Add 7 to each side
x-7+7 = 4+7
x = 11
Answer:
x=11
Step-by-step explanation:
Move the constant to the right -hand side and change its sign
x= 4+7
then add the numbers
x= 4+7
which =11
solve for x in parts below:
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $700.00 each on a weekly basis. What is the employer's share of total Social Security and Medicare taxes for the first quarter of the year? (Social security tax is 6.2% of wages up to $128,400. Medicare tax is 1.45% of all wages.)A. $660.00B. $700.00 C. $850.68D. $11,277.63
Evaluate: (x^2-1)/(x-1) if x goes to 1?
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)} [/tex]
[tex]\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2[/tex]
Simplify the expression.
56 ÷ (–7)
–8
8
392
–392
Answer:
- 8
Step-by-step explanation:
56 ÷ (- 7)
56 ÷ - 7
- 8
Answer:
-8
Step-by-step explanation:
A positive number divided by a negative one results in a negative quotient.
Thus, 56 ÷ (–7) = -8
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
100 Points! show work or i report! Find the tangent ratio for
Answer:
tan P = 15/8
Step-by-step explanation:
tan = opposite / adjacent
tan P = RQ/PR = 15/8
Option A
PLSSSSSSS ASAPPPPPPPP
A)157
B)67
C)177
D)None of these answers
E)23
A rectangular prism has the following dimensions.
length: 8 cm
width: 13 cm
height: 10.5 cm
If all the dimensions of the prism are doubled, what will be its new volume?
length: 8 cm
width: 13 cm
height: 10.5 cm
the choices are-
8,736 cm 3
5,192 cm 3
6,552 cm 3
2,184 cm 3
A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is a.different for each interval. b.the same for each interval. c.at least one. d.zero.
Answer:
Hence the correct option is Option b that is the same for each interval.
Step-by-step explanation:
The PDF for Uniform distribution in [a,b] is given by
[tex]f(x)=\frac{1}{b-a}~~~~~~a\leq x\leq b[/tex]
So the probability that the random variable assumes a value in [a,b] is given by
[tex]\int_{a}^{b}f(x)dx=\int_{a}^{b}\frac{1}{b-a}dx=1[/tex]
Therefore the correct option is b. the same for each interval.
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose from, 5 types of sandwiches, and 3 types of chips. How many different value meal packages are possible
Answer:
60 different meal packages are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
4 types of drinks
5 types of sandwiches.
3 types of chips.
They are independent events, so, by the fundamental counting principle:
4*5*3 = 60
60 different meal packages are possible.
A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant
1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter
Options E and F are repeated but the correct thing should be;
e. The list of the 65 Yes or No answers for whether each customer ordered dessert.
f. The answer: Yes or No to whether a customer ordered dessert
Answer:
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Step-by-step explanation:
a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.
b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.
c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.
d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.
e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.
f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.
A box is shaped like a square prism. The box is 10 centimetres high and it’s volume is 150 cubic centimetres.
Answer:
B I hope
Step-by-step explanation:
The length of the base of a square prism is 3.872 cm and the surface area of a square prism is 184.9 cm ²
Volume of a square prismLet h is the height length of the prism and a is the length of base edge.
then the volume is a²h and the surface area is 2a²+4ah
How to base length?(a) The volume of a square prism is 150 cm³ and 10 cm is height length
Let a is the length of base edge.
We know the volume is a²h.
Substitute the values
a²(10) = 150
a² = 15
a = √15
a = 3.872 cm
Since length of base is 3.872 cm.
How to find the surface area of a square prism?(b) The height length of the prism is 10 cm and the base edge length is √15 cm.
We know the surface area is 2a²+4ah
Substitute the values
S = 2(√15)² + 4 (3.87 )(10)
= 2(15) + 40(3.87)
= 30 + 154.91
= 184.9 cm ²
Since the surface area of a square prism is 184.9 cm ².
Two advertising media are being considered for promotion of a product. Radio ads cost
$400 each, while newspaper ads cost $600 each. The total budget is $7,200 per week.
The total number of ads should be at least 15 and at least 2 ads of each type (Radio and
newspaper) should be considered. Each newspaper ad reaches 6,000 people, while each
radio ad reaches 2,000 people. The company wishes to reach as many people as possible
while meeting all the constraints stated.
1.
Write the constraints and the objective function for this problem?
(3 pts)
2.
How many ads of each type should be placed?
(5 pts)
Answer:
1. 1. The constraints are as follows -
a) Limited weekly budgets
b) Limited ads requiring that there should be at least 15 and at least 2 ads of each type (Radio and newspaper)
c) Newspaper ad being costly reach larger population segment as compared to the radio ads which is cheaper than newspaper ad but reaches only a small portion of population
2. 6 newspaper adds and 9 radio adds
Step-by-step explanation:
1. The constraints are as follows -
a) Limited weekly budgets
b) Limited ads requiring that there should be at least 15 and at least 2 ads of each type (Radio and newspaper)
c) Newspaper ad being costly reach larger population segment as compared to the radio ads which is cheaper than newspaper ad but reaches only a small portion of population
The objective function
Maximum number of people per week = 6000 * number of newspapaer ads + 2000 * number of radio ads
b) $7,200
Minimum radio adds = 3 this will cost 3 * $400 = $1200
Remaining money = $7200 - $1200 = $6000
Cost of one add of news paper = $ 6000/$600 = 10
But the minimum ads need to be 15
So, If Newspaper adds are reduced to 6, the radio adds will be 9 giving a sum of 15
Shawn, Ryan, and Dominic ate a whole pizza.Shawn ate 1/6 of the pizza, Ryan at 1/2 of the pizza and Dominic ate the rest how much pizza did Dominic eat
Answer:
Dominic ate [tex]\frac{2}{6}[/tex] of the pizza.
Step-by-step explanation:
First you want to convert the fractions so they all have the same denominator (bottom number in the fraction.) That will make it a lot easier to add and subtract with them.
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]
So Shawn ate 1/6 of the pizza, and Ryan ate 3/6 of the pizza. To find what else makes up the whole pizza (what Dominic ate) we add 1/6 and 3/6, then subtract from the whole.
[tex]\frac{1}{6}[/tex] + [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{6}{6}[/tex] - [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Therefore Dominic ate [tex]\frac{2}{6}[/tex] of the pizza.
This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
Which statements are true? Select three options. The line x = 0 is perpendicular to the line y = –3. All lines that are parallel to the y-axis are vertical lines. All lines that are perpendicular to the x-axis have a slope of 0. The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.
Answer:
The first option you gave, fourth one, fifth one. This is what I think, the question is formatted badly and hard to read.
Step-by-step explanation:
Answer:
1,4,5
Step-by-step explanation:
Which number number is equal to |-12|-|-3| ?
The value of the expression will be;
⇒ 9
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ |-12|-|-3|
Now,
Since, The expression is,
⇒ |-12|- |-3|
Solve as;
⇒ |-12|- |-3| = 12 - 3
= 9
Thus, The value of the expression = 9
Learn more about the subtraction visit:
https://brainly.com/question/188220
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que por qué me va a dar 70
what number x anuder number is =70
Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10
Step-by-step explanation:
what is the answer?
how many vertices does the following shape have?
What is XY? The triangle XZY is right angle triangle. Angle z is right angle and angle X and Y are 45 degree. The side YZ is 5. A. 2–√ B. 5 C. 52–√ D. 10
9514 1404 393
Answer:
C. 5√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the length of either leg. The given leg (YZ) is 5 units, so the hypotenuse XY is 5√2 units.
change the following into mixed fraction 13/5
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
graph y > 1 - 3x whats the answer please
Answer:
see graph
Step-by-step explanation:
The average full-time faculty member in a college works an average of 53 hours per week. a) If we assume the standard deviation is 2.8 hours, what percentage of faculty members work more than 58.6 hours a week?
Answer:
2.28% of faculty members work more than 58.6 hours a week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average full-time faculty member in a college works an average of 53 hours per week. Standard deviation of 2.8 hours.
This means that [tex]\mu = 53, \sigma = 2.8[/tex]
What percentage of faculty members work more than 58.6 hours a week?
The proportion is 1 subtracted by the p-value of Z when X = 58.6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{58.6 - 53}{2.8}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772
1 - 0.9772 = 0.0228
0.0228*100% = 2.28%
2.28% of faculty members work more than 58.6 hours a week.
Ayesha ordered a bed set on 4th August, 2020. It was delivered to her house 9 months 2 weeks 4 days later. When was the bed set delivered?
Answer: I think it’s 22 May 2021
Step-by-step explanation:-
First Step ) August 2020 + 9 Months = May 2021
Second Step ) 4 + 7*2 ( two weeks has 14 days ) or 4 + 7 + 7 = 18
Third Step ) 18 + 4 Days Later = 22
So final answer would be 22 May 2021.
Hope it helps, Good Day! And happy reading
( P.S ) The bed set took a lot of time to arrive xD
2624 sq yd
3328 sq yd
2316 sq yd
2880 sq yd
What is the area of a right triangle with side lengths 7,24, and 25?
Answer:
Area = 84 square unit
Step-by-step explanation:
Given the triangle is right angle triangle. According to Pythagoras theorem, the largest amount the sides is the hypotenuse. and the others are base and height respectively.
Therefore, hypotenuse = 25, base = 7, height = 24
[tex]Area \ of \ triangle = \frac{1}{2} \times \ base \times height[/tex]
[tex]= \frac{1}{2} \times 7 \times 24 \\\\= 7 \times 12 \\\\= 84 \ square \ unit[/tex]
Answer:
A = 84 units^ 2
Step-by-step explanation:
The longest side length is also the hypotenuse of this right triangle: 25. Therefore the leg lengths must be 7 and 24. The legs are perpendicular to one another. If we let the base be 7 and the height 24, then the area of the triangle is A = (1/2)(base)(height), or
A = (1/2)(7)(24) = 84 units^ 2
Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.
Answer:
209
Step-by-step explanation: guyci you y tf7itfit 6tuit6yci7v uvtfi7ftyvg hkvyucoyvyvhj gku citctvo utictgvuk h jh hj vvuk
c A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
vvvv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
vv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
v A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
Which equation is equivalent to + + 0.03 + 1.01= -2.45 - 1.81K?
0-100k + 3 + 101k = -245 - 181k
-100k + 300 + 101k = -245-181k
k + 3 + 101k = -245 - 1816
* + 300 + 101k = -245 - 181k
Mark this and
Save and Exit
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Answer:
Step-by-step explanation:
For this case we have the following equation:
An equivalent way to write this equation is to multiply both sides of the equation by a scalar.
When multiplying both sides of the equation by 100 we have:
By doing distributive property we have:
Answer:
An equation that is equivalent is:
1. When dividing polynomials, describe when it is appropriate to use A) term-by-term division and B) long division.
Answer:
4xy² + 3x -5 polynomial example
example of a polynomial
this one has 3 terms
Dividing
polynomial division
Polynomials can sometimes be divided using the simple methods shown on Dividing Polynomials.
But sometimes it is better to use "Long Division" (a method similar to Long Division for Numbers)
Numerator and Denominator
We can give each polynomial a name:
x² + 2x -7 (numerator)
_________
x-2 (denominator)
[tex] \times - {}^{2} \sqrt{ \times {}^{2} } + 2 \times - 7[/tex]
Both polynomials should have the "higher order" terms first (those with the largest exponents, like the "2" in x2).
then :
divide: the first term of the numerator
by the first term of denominator and put that answer
multiply the denominator by that answer, put that below the numerator
subtract to create a new polynomial
repeat using the polynomial
