Steven earns extra money babysitting. He charges $40.50 for 6 hours and $54.00 for 8 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

Answer 1

Answer:

6.75 * x =y

Step-by-step explanation:

In this question, for is a keyword here we can use to represent division. If he charges $40.50 for 6 hours, this means we can represent this as [tex]\frac{40.50dollars}{6 hours}[/tex] to calculate the amount babysitting costs for an hour. Our answer is then [tex]\frac{6.75 dollars}{1 hour}[/tex]. A similar division of $54.00 for 8 hours results in a calculation of [tex]\frac{54.00 dollars}{8 hours} = \frac{6.75 dollars}{1hour}[/tex]. This means that for each hour, he charges 6.75 dollars, the same amount of money each hour.

Given this information, we can say that an equation to represent this relationship would be that, to calculate the total money Steven earns, we can multiply 6.75 dollars by the amount of hours he works, as he earns 6.75 dollars for each hour, making our equation 6.75 * x =y, with y representing the total amount he charges. If your teacher would


Related Questions


Please answer part A and B.

Answers

Answer:

Percent who walk 45%

Percent in car 22.5%

Step-by-step explanation:

The total number of students is

36+26+18 = 80

Percent who walk is 36/80 = .45 =45%

Percent in car is 18/80 =.225= 22.5%

Type your answers into the boxes.
Complete the following questions.
4x5-(22 - 2) =
(18= 3) + (32 - 7) =

Answers

Answer:

0 and 40

Step-by-step explanation:

First expression:  4*5 - (22 - 2).  We must do work inside parentheses before any other work.  This, we have 4*5 - (20), which simplifies to 20 - 20 = 0

Second expression:  (18 - 3) + (32 - 7 becomes (15) + 25, or 40.

What is the answer. I need it ASAP u have to choose 3 answers

Answers

x= 5
y=1.25 :))))
If it is true, don't forget to click ”thanks♥️” for me

Gerald is thinking of a number n, and he wants his sister to guess the number. His first clue is that 7 more than 3 times his
number is at least 10 and at most 28. Write a compound inequality that shows the range of numbers that Isabella might be
thinking of.
Write your answer in interval notation. For example-3

Answers

Answer:

(1, 7)

Step-by-step explanation:

The number is n.

7 more than 3 times his

number is at least 10 and at most 28.

Thus;

10 ≤ 3n + 7 ≤ 28

Let's solve individually;

10 ≤ 3n + 7

10 - 7 ≤ 3n

n ≥ 3/3

n ≥ 1

Also,

3n + 7 ≤ 28

3n ≤ 28 - 7

3n ≤ 21

n ≤ 21/3

n ≤ 7

Thus, since n cannot be more than 7 or less than 1, it means in interval Notation, the answer is;

(1, 7)

Marina spent 1/5 of her money on a book. If she had $80 left after she brought the book, how much money did she have originally?

Answers

Answer:

Marina had 50$ originally

Step-by-step explanation:

80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate

Answer:

$100

Step-by-step explanation:

Step 1, setting up an equation:

If Marina spent [tex]\frac{1}{5}[/tex] of her money, she has [tex]\frac{4}{5}[/tex] of her money remaining. We also are given that she has $80 left. We can set her initial total amount of money as x to solve this problem:

[tex]\frac{4}{5}x=80[/tex]

Step 2, solving for x:

[tex]\frac{4}{5}x=80\\\\4x=400\\\\x=100[/tex]

We have set x as her original amount of money, so we have the answer!

Marina originally had  [tex]\fbox{100}[/tex] dollars.

I hope this helps! Let me know if you have any questions :)

Your aunt is asking your help in figuring out how to
maximize profit for her pottery business. She makes
$35 on a bowl and $30 on a plate. She has just
ordered 40 pounds of clay. A bowl uses 5 pounds of
clay and a plate uses 4 pounds of clay. She already
has orders to make 4 bowls. How many bowls and
plates should she make in order to maximize her profit?
Step 1: Identify your variables and write the objective
function
What does x represent? What does y represent?

Answers

Answer:

650

Step-by-step explanation:

Consider function g.
6,
-8 < x <-2 2
g(x) =
0,
-2 -4, 4 < x < 10
What are the values of the function when x = -2 and when r = 4?
gl-2)
=
3
g(4)
=
N

Answers

[tex]x = - 2 \: then \: g( - 2) = 0 \\ x = 4 \: then \: g(4) = - 4.[/tex]

Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is

g(x) = - 4.

What is composite function?

A composite function is created when one function is substituted into another function.

Given

Composite Function g

g(x) = 6,   -8 ≤ x ≤ -2

g(x) = 0,   -2 ≤ x ≤ 4

g(x) = -4,   4 ≤ x ≤ 10

The values of the function when x = -2

x is between -2 and 4

g(x) = 0, -2 ≤ x ≤ 4

Thus, The values of the function when x = -2 is g(x) = 0

The values of the function when x = 4

x is between 4 and 10

g(x) = -4, 4 ≤ x ≤ 10

Thus, The values of the function when x = 4 is g(x) = - 4

Hence, The values of the function when x = -2 is g(x) = 0 and x = 4 is

g(x) = - 4.

Learn more about composite function here

https://brainly.com/question/20379727

#SPJ2

given 12 consecutive integers in how many ways can three of these integers be selected to give a sum which divides by 4?

Answers

There are  [tex]55[/tex] ways of these integers be selected to give a sum.

Given that:

It has [tex]12[/tex] consecutive integers .

Now,

Definition of consecutive integers :

" Consecutive integers are the integers that follow in the fixed sequence .

Consecutive integers is represented by  [tex]n,n+1,n+2,n+3,....[/tex] where [tex]n[/tex] is an integer."

By given :

we have [tex]12[/tex] consecutive integers .

Thus,[tex]n=1[/tex] and substitute the equation is,

[tex]1,(n+1),(1+2),(1+3),(1+4),(1+5),(1+6),(1+7),(1+8),(1+9),(1+10),(1+11)\\\\\implies 1,2,3,4,5,6,7,8,9,10,11,12[/tex]

Now,

Split all the integers into 4 equal parts,

Part 1:  Those integers are divisible by [tex]4[/tex] and the remainder be 0.

Then,  

   [tex]a=0(mod 4)[/tex]

Part 2:  Those integer producing the remainder [tex]1[/tex] when it is divisible by [tex]4[/tex].

Then,

   [tex]a=1(mod 4)[/tex]

Part 3:  Those integer producing the remainder [tex]2[/tex]  when it is divisible by[tex]4[/tex].

Then,

    [tex]a=2(mod 4)[/tex]

Part 4: Those integer producing the remainder [tex]3[/tex]  when it is divisible by[tex]4[/tex].

Then,

   [tex]a=3(mod4)[/tex]

Since, three of these integers be selected to give a sum which divides by [tex]4[/tex] is,

In any 12 consecutive integers there are [tex]12\div4[/tex]

i.e. exactly 3 numbers of each category of mod4 namely ,

[tex]0(mod4), 1(mod4), 2(mod4), 3(mod4)[/tex]

Thus, the  total combinations of above [tex]5[/tex] categories of sets of [tex]3[/tex] integers are

All the 3 numbers are  [tex]0(mod4)[/tex]

                 [tex]3C_1=3(1)=3[/tex]

One number be   [tex]0(mod4)[/tex]  and other two numbers are  [tex]2(mod4)[/tex]

            [tex]3C_1*3C_2=3(1)*3=9[/tex]

One number  [tex]0(mod4)[/tex]  and other numbers  [tex]1(mod4)[/tex] & [tex]3(mod4)[/tex]

           [tex]3C_1*3C_1*3C_1=3*3*3=27[/tex]

Two numbers be [tex]1(mod4)[/tex] and one  number be [tex]2(mod4)[/tex]  

           [tex]3C2 * 3C1 = 3*3 = 9[/tex]

One number  be  [tex]2(mod4)[/tex] and two numbers be [tex]3(mod4)[/tex]

           [tex]3C1 * 3C2 = 3*3 = 9[/tex]

Thus, sum of the total ways be [tex]12[/tex] consecutive integers of three integers is divisible by 4 is,

       [tex]3+9+27+9+9=55[/tex]

Hence, it has [tex]55[/tex] ways.

For more information,

https://brainly.com/question/24144187

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Answers

Answer:

15

Problem:

Given that a*b = 2ab - 3b. Determine 2*(3*5)​

Step-by-step explanation:

First we find 3*5 using rule a*b = 2ab - 3b.

3*5=2(3)(5)-3(5)

3*5=30-15

3*5=15

Now we are left with 2*15 in which we will still use the rule a*b=2ab-3b.

2*15=2(2)(15)-3(15)

2*15=60-45

2*15=15

Therefore, 2*(3*5)=15.

Q- getting a number greater than 3 or an odd number?​

Answers

Step-by-step explanation:

So one's chance of getting a number greater than 3 is 3 chances out of 6 numbers that could be rolled or 1/2. Then we determine what the chances are of getting an ODD number. That includes 1, 3, & 5. So one's chance of getting an odd number is 3 chances out of the 6 numbers on the die, which is also 1/2.

picture down below please help

Answers

Answer: please add the picture

Step-by-step explanation:

Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.

Answers

Answer:

[tex]F = k\frac{m_1m_2}{r^2}[/tex]

Step-by-step explanation:

Direct proportional:

Multiplication

Inverse proportional:

Division

The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses

This means that:

[tex]F = k\frac{m_1m_2}{}[/tex]

Inversely proportional to the square of the distance r between the objects.

Denominator is [tex]r^2[/tex]. Thus:

[tex]F = k\frac{m_1m_2}{r^2}[/tex]

Câu ca dao sau đây bị chi phối bởi luật bài trung, Giải thích tại sao?
“Có yêu, thì yêu cho chắc,
Bằng như trúc trắc, thì trục trặc cho luôn”.

Answers

Answer:

Hi Are you from Vietnam?

Step-by-step explanation:

Sorry i cant understand

im filipino

The two way table shows information about preferred drinks of some people how many males drank only coffee

Answers

Answer:

73% The two-way table shows information about the preferred drinks of some people. b a How many males drank only coffee? b What is the probability that any person is male and only drinks coffee? 73% The two-way table shows information about the preferred drinks of some people

If a franchise company wanted to determine why sales were higher at some locations rather than others, what statistical process would be most appropriate? Group of answer choices Regression with sales as an independent variable Regression with sales as the dependent variable Use a confidence interval with the posted speed as the mean Hypothesis testing with a null hypothesis that the sales are less than or equal to the highest sales Hypothesis testing with a null hypothesis that the sales are more than the highest sales

Answers

Answer: Regression with sales as the dependent variable

Step-by-step explanation:

Since the franchise company wanted to determine why sales were higher at some locations rather than others, the statistical process that would be most appropriate is regression with sales as the dependent variable.

Regression will be used in determining the strength of the relationship that exist between one dependent variable and the independent variables. In this case, the dependent variable is sales.

Chester has less than $25 to spend at the county fair. The entrance fee is $5, and each ride costs $3. The number of rides, r, that Chester can go on is represented by the inequality 3r + 5 < 25. Select the most amount of rides Chester can go on without overspending

Answers

Answer:

6 rides

Step-by-step explanation:

3r+5<25

3r<20

r<6.67

rides=6

check answer

3r+5<25

3(6)+5<25

18+5<25

23<25

the average of students is 15 years if the age of a teacher is included their average becomes 18 years .what is the age of the teacher ?

Answers

Answer:

21; the age of the teacher

Step-by-step explanation:

15+x/2=18

Estimate - I estimated in the 20's because it only averaged up a little bit

Started with 23 and kept going until i got to my answer

21

15+21/2

36/2

18

Please mark brainliest :)

I think the age of the teacher is 21

The coeffcient of determination is the ratio of the explained variation to the total variation. A. The coefficient of determination is the ratio of the unexplained variation to the total variation. B. The coefficient of determination is the ratio of the total variation to the unexplained variation. C. The coefficient of determination is the ratio of the total variation to the explained variation. D. The coefficient of determination is the ratio of the explained variation to the total variation. Choose the correct answer below. A. The coefficient of determination is a measure of how closely two variables vary together. B. The coefficient of determination is the percent of the variation that is unexplained. C. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y. D. The coefficient of determination is the percent of the predicted values that equal the actual data values. Choose the correct answer below. A. The value 1r is a measure of how closely two variables vary together. B. The value 1r is the percent of the predicted values that equal the actual data values. C. The value 1r is the percent of the variation that is unexplained. D. The value 1r is the percent of variation of y that is explained by the relationship between x and y.

Answers

Answer:

D. The coefficient of determination is the ratio of the explained variation to the total variation.

C. The coefficient of determination is the percent of variation of y that is explained by the relationship between x and y

Step-by-step explanation:

The Coefficient of determination is the ratio of the explained variation in y to the total variation in y.

Coefficient of determination, r² ;

r² = explained variation / total variation

The coefficient of determination is the proportion of variation in y (predicted value) which is due to the regression line ; Hence, it is the percent of variation of y that is explained by the relationship between x and y.

A business is interested in employees’ job satisfaction. The regional manager places a name card for every employee into a bowl and randomly selects 10 cards. Which sampling method was used?

cluster sampling
simple random sampling
stratified random sampling
systematic random sampling

Answers

Answer:

B

Step-by-step explanation:

Answer: simple random sampling

AKA: B

Step-by-step explanation: guy above me is correct :)

Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approximately how many observations are more than 116

Answers

Answer:  there are 22 observations that are more than 116.

Step-by-step explanation:

Let x be the random variable.

Given: Sample size = 950

Mean = 78

Standard deviation = 19

The probability that the observations are more than 116 is given by :-

[tex]P(X>116)=P(\dfrac{X-mean}{standard \ deviation}>\dfrac{116-78}{19})\\\\=P(Z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{Using p-value calculator}]\\\\=0.0228[/tex]

Number of observations are more than 116 = [tex]0.0228\times950[/tex]

[tex]=21.66\approx22[/tex]

Hence, there are 22 observations that are more than 116.

100 + 50
i'll date you if you answer this;)

Answers

Answer:

150

Step-by-step explanation:

100 + 50 = 150

ez

3x – 4(x - 4) + 4 = 13
Solve for x step by step
Please answer quickly

Answers

Answer:

7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

=> 3x - 4x + 16 + 4 = 13

=> - x + 20 = 13

=> - x = 13 - 20

=> - x = - 7

=> x = 7

Answer:

x = 7

Step-by-step explanation:

3x – 4(x - 4) + 4 = 13

3x - 4x + 16 + 4 = 13

-x + 20 = 13

-x + 20 - 20 = 13 - 20

-x = -7

(-x = -7)/-1

x = 7

Hope this helps.

Simplify the following expression

7-5/6 × 7-7/6

Answers

[tex]\longrightarrow{\blue{ 0 }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

[tex]7 - ( \frac{5}{6} \times 7) - \frac{7}{6} [/tex]

[tex] = 7 - \frac{35}{6} - \frac{7}{6} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for the denominators.

The L. C. M is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{7 \times 6}{1 \times 6} - \frac{35}{6} - \frac{7}{6} [/tex]

Now that the denominators are equal, we can add/subtract them.

[tex] = \frac{42- 35 - 7}{6} [/tex]

[tex] = \frac{42 - 42}{6} [/tex]

[tex] = \frac{ 0}{6} [/tex]

[tex] = 0[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

2826666667×(〖1,06〗^n-1)=800000000
 (〖1,06〗^n-1)=0,283
 〖1,06〗^n=1,283
 〖log⁡(1,06)〗^(n )=log⁡( 1,283)
 nlog(〖1,06)〗^n=log⁡(1,283)

Answers

Answer:

Step-by-step explanation:

Evaluate -2yx - 4y what's the answer ​

Answers

Answer:

-2y (x+2)

Step-by-step explanation:

remove greatest common factors.

both terms have a (y) and a (-2)

Answer:

-2y ( x - 2 )

Step-by-step explanation:

- 2yx - 4y

factor out -2y from the equation

-2y ( x - 2 )

Can someone help with this

Answers

Answer: 28

Step-by-step explanation: ADB = 1/2 ACB

on a tv game show,omar needs answer 7 out of every 10 questions correctly. There will be 30 questions in all

Answers

He Has To Get 21/30 Questions Right, Or 0.7%(70%) Right.

find the equation of the line perpendicular to the given line, through the given point x=-3; (1,8)

Answers

Answer:

y = 8

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

[Line] x = -3

Point (1, 8)

Step 2: Find Perpendicular Line

A vertical line's slope is undefined.

The negative reciprocal of an undefined slope is 0.

Define perpendicular slope:                                                                          m = 0Substitute in m [Slope-Intercept Form]:                                                          y = 0x + bSimplify:                                                                                                               y = b

Given point (1, 8), our y-value is equal to 8.

∴ the perpendicular line is y = 8.

∫▒〖e^2x dx〗= ???? thanks

Answers

Answer:

Step-by-step explanation:

I=∫e^2x dx

put 2x=t

2dx=dt

dx=dt/2

I=1/2∫e^t dt

=1/2 e^t+c

=1/2 e^{2x}+c

Please I really need help

Answers

Answer: 96 cubic feet (choice D)

=======================================================

Explanation:

The triangular face has area of base*height/2 = 8*2/2 = 16/2 = 8 square feet.

Multiply this with the depth of the prism to get 8*12 = 96 cubic feet

----------

For any prism, the volume formula is

V = (area of base)*(depth of prism)

The term "depth" can be replaced with "height" and it's the same idea.

In this problem, we have a triangular prism because the parallel sides are triangles.

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