Steven earns extra money babysitting. He charges $35.00 for 4 hours and $70.00 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.
The equation is y =

Answers

Answer 1

Answer:

Step-by-step explanation:

35/4 = 8.75

70/8 = 8.75

x= 1 (hour) y = 8.75$

Answer 2

Answer:

y= 35x/4

Step-by-step explanation:

We can solve this by plotting a graph of these values of (4,35) and (8,70). We find that this graph is a straight line. Meaning we can solve it in the form Y = mx, where m is the gradient. there is no y intercept as our range is greater than x =0. So the gradient will be 70-35/8-4, which is 35/4. Simply substitute it into the formula to obtain y= 35x/4!


Related Questions

A is set of positive multiples of 5 less than 23

Answers

9514 1404 393

Answer:

  {5, 10, 15, 20}

Step-by-step explanation:

Multiples of 5 are of the form 5n, where n is an integer. The ones of interest will satisfy ...

  0 < 5n < 23

  0 < n < 4.6

That is, the multiples of 5 we want are for values of n that are 1 through 4. The set is ...

  5 × {1, 2, 3, 4} = {5, 10, 15, 20}

What percent of l0.2 gram of 32 mg

Answers

The percent of 10.2 gram of 32 mg is gotten to be; 31.875%

How to find the percentage?

When we are trying to find the percentage with the expressions "if" and "of", we will use the formula;

is/of *100%

Now, we want to find the percentage of 10.2 gram of 32 mg. Thus, the percentage is expressed as;

10.2/32 * 100% = 31.875%

Thus, the percent of l0.2 gram of 32 mg is gotten to be 31.875%

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The time it takes to build a house (T), varies directly with the floor area (A), and inversely with the number of workers (W). What is the equation that models this situation?

Answers

Answer:

T = k * (A/W)

Step-by-step explanation:

Evaluate the expression.
4!

Answers

Answer:

4! = 24

Step-by-step explanation:

4! = 4 * 3 * 2 * 1

4! = 24

What is the vertex and equation of the axis of symmetry of the graph of y=x^2-6x-7

Answers

Answer:

Vertex: (3,16)

Axis of symmetry: x = 3

Step-by-step explanation:

The vertex is the minimum or maximum of the graph.

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

please answer !!! quickly thank you! ​

Answers

Answer:

B) this line has zero slope.

Step-by-step explanation:

it doesn't increase or decrease. it is a constant; zero

Answer:

This line has zero slope.

Step-by-step explanation:

The slope of the line doesn't change it just stays straight.

Which graph represents the function f(x) = –x2 + 5?

Answers

Answer:

Step-by-step explanation:

The graph of f(x) = –x^2 + 5 is that of an upside-down parabola with vertex (0, 5) and x-intercepts (-√5, 0) and (+√5, 0).  Plot the vertex (0, 5) and then draw a smooth curve through it and through the x-intercepts.

The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.

what is quadratic functions ?

A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero.  Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.

here calculation

The function provided is f(x) =  -x2+5

.... (1) (1)

We must locate the function's graph.

The quadratic function's vertex form is f(x)= a(x-h)2 + k.... (2)

When we compare (1) and (2), we obtain

h=0 , k=5

It denotes that the function's vertex is (0,5).

The values list is

x           y

-2            1

-1            4

0            5

1            4

2           1

Place all ordered pairings on a coordinate plane, and then use a free-hand curve to link them.

The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.

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find the area for brainlest

Answers

Answer:

A = 30 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 12 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 5 = 6 × 5 = 30 units²

Help with both please

Answers

Answer:

Step-by-step explanation:

12. To find the carpet needed. Find the area :

   The figure is combination of semi circle and a rectangle.

   So Area = Area of semi circle + Area of rectangle

      [tex]Area \ of \ semi \ circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi \times 25 = 39.25 \ ft^2 \\\\Area \ of \ rectangle = Length \times Breadth = 15 \times 10 =150 \ ft^2[/tex]

     Area = 150 + 39.25 = 189.25 sq ft

13.   Cost per square feet = $$9.95

     Therefore cost for 189.25 square feet = 9.95 x 189.25 = $1883.04

Each side of a square is (7 + 3x) units. Which is the perimeter of the square?

Answers

If one side is 7 + 3x units then 4 sides of the square is 4 (7 + 3x).

4 (7 + 3x)
28 + 12x

Perimeter = 28 + 12x

Help troll or report Help plsssss

Answers

Answer:

11. (a) 3/4+1/2=5/4

   (b) 4/5= 8/10 , 16/20

12. 8 children don't like choc ice cream

Step-by-step explanation:

11. 3/4 +2/4=5/4(change 1/2 by making it the same as the one next to it)

12. 3/5 of 20 = 12

     20-12=8

And then next time we will come back and

Answers

There isn’t really a question

In the figure below, which term best describes point A?
S
A
R
A. Incenter
B. Orthocenter
C. Centroid
D. Circumcenter

Answers

It should be d but my bad if I got it wrong

3y=150, what is the value of y-2​

Answers

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

What is an equation?

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

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Type the correct answer in each box. Use numerals instead of words. if necessary, use / for the fraction bar(s).
Find the sum. Write your answer in simplest form.

Answers

Answer:

[tex]\frac{11}{12} - \frac{1}{3} = \frac{7}{12}[/tex]

Step-by-step explanation:

Given

See attachment for question

Required

Solve

We have:

[tex]\frac{11}{12} - \frac{1}{3}[/tex]

Take LCM and solve

[tex]\frac{11}{12} - \frac{1}{3} = \frac{11 - 4}{12}[/tex]

[tex]\frac{11}{12} - \frac{1}{3} = \frac{7}{12}[/tex]

Answer:

1

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Find the sum. Write your answer in simplest form.

Step-by-step explanation:

A spinner is divided into 4 equal sections numbered 1 through 4. It is spun twice, and the numbers from each spin are added.

What is the probability that the sum is less than 6?

Answers

Answer:

4equal to plus 5 eul is to be 9

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``````````````````````````````````

Answers

Answer:

~~~~~~~~~~~~~~~~~~~~~~~~~.~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

Write the solution of one-half of two-thirds of three out of four-fifths of 200​

Answers

Answer:

53 1/3

Step-by-step explanation:

200×4/5=160

160×2/3=106 2/3

106 2/3×1/2=53 1/3

Step-by-step explanation:

200×1/2=100

100×2/3=66.6666666667

so, the question is wrong

In a recent survey, 75% of the community favored building a police substation in their neighborhood. If 14 citizen are chosen at random, find the probability that exactly 8 of them favor the building of the police substation.
.

Answers

Answer:

/ROB.UX ME 1,000,000,000

Step-by-step explanation:

Answer:

.073398

Step-by-step explanation:

It's easiest to use a binomial distribution here

We have...

14C8*.75⁸*(1-.75)⁶= .073398

Which graph represents the solution set for the inequality 1xs 18?
2
+++
0 1 2
3 4 5 6 7 8 9 10
>
+++
0 6 12 18 24 30 36 42 48 54 60
+
0 1 2 3 4 5 6 7 8 9 10
0 6 12 18 24 30 36 42 48 54 60

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

Multiplying the inequality by 2 will eliminate the fraction and give you ...

  x ≤ 36

The "or equal to" part of the symbol means the end dot will be solid. The "less than" part of the symbol means the graph is shaded to the left of the end dot, which is at x=36. This description matches the graph shown below.

Can you help me in question 30?!

Answers

Answer:   24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Volume is length times width times height so you just have to multiply 3 by 4 by 2 to get 24.

A worker is exposed to 98 dB for five hours and 82 dB for three hours, giving an eight-hour working day. On average, what noise level is this worker exposed to?

Answers

Answer:

92 dB

Step-by-step explanation:

Use the mean formula, mean = sum of elements / number of elements.

Since it is a 8 hour work day, there are 8 elements.

mean = sum of elements / number of elements

mean = (98 + 98 + 98 + 98 + 98 + 82 + 82 + 82) / 8

mean = 736 / 8

mean = 92

So, the average noise level is 92 dB

What are the roots of the equation x2 + 16x + 73 = 0 in simplest a + bi form?

Answers

Answer:

-8+2i and -8+2i

Step-by-step explanation:

here simply we'll use general formula

x= (-b +or - √ b^2-4ac)/2a

The weights (in ounces) of 28 tomatoes are listed below. 1.1 1.6 1.8 1.9 2.0 2.3 2.3 2.5 2.5 2.5 2.5 2.6 2.6 2.6 2.8 2.9 2.9 3.0 3.1 3.1 3.1 3.3 3.4 3.5 3.5 3.6 3.9 4.9 What is the five number summary?​

Answers

Answer:

2.6 2.6 2.8 2.9 2.9

Step-by-step explanation:

used median for the five numbers.

Are (2, 5) and (5, 2) the same location? Why or why not?

Answers

Answer:

They are not in the same location

Step-by-step explanation:

Well because we have x axis and y axis, x always has to go first. In (2, 5) 2 is first and has to start from the x axis and 5 is the y axis. And the (5,2) is the opposite and the places would be in totally different places on the coordinate plane.

Answer: No

Step-by-step explanation: The order of coordinates for a given point is very important. For example, (2, 5) and (5, 2) represent two very different points on a coordinate system, as shown in the picture below.

A given point, such as (2, 5), is often reffered to as

an ordered pair because the order of coordinates is very important.

If can someone help me.

Answers

9514 1404 393

Answer:

  Tim is correct. 5/8 > 1/2

Step-by-step explanation:

By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.

Tim's 5/8 share is the largest.

CALCULATORS COST $125.00 FOR 25 CALCULATORS. WHAT IS THE COST PER CALCULATOR?​

Answers

Answer: $5 per calculator

Step-by-step explanation: divide 125 and 25

Answer:

5$

Step-by-step explanation:

Given:

25 calculators cost 125.00

So:

_______ DIvide the cost of calculators by the number of calculators, and we get 5$

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 16 feet and a height of 19 feet. Container B has a diameter of 20 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.

To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?

Answers

18.9% is the answer

Step-by-step explanation:

volume of a cylinder = πd²/4 x h

where d is diameter and h is height of cylinder.

thus

vol of A is

[tex]vol \: of \: a \: = \pi \times \frac{ {d}^{2} }{4} \times h \\ = \pi \times \frac{ {16}^{2} }{4} \times 19 \\ = \pi \times 4 \times 16 \times 19 \\ = 3818.24[/tex]

and

[tex]vol \: of \: b = \pi \times \frac{ {20}^{2} }{4} \times 15 \\ = \pi \times 5 \times 20 \times 15 \\ = 4710[/tex]

difference in vol of a and b is

[tex]diff \: = vol \: of \: b \: - vol \: of \: a \\ = 4710 - 3818.24 \\ = 891.76[/tex]

this volume will remain empty after container A is pumped into container B.

this volume as a percentage of total volume of B is

[tex]\% = \frac{diff \: vol}{total \: vol} \times 100 \\ = \frac{891.76}{4710} \times 100 \\ = 18.9\%[/tex]

A person drives a car between the two places x and y. On his outward journey he consumes 8 km per liter of petrol, on his return journey he covers 12 km per liter. Find the average of his mileage assuming the distance between the two places to be 100​

Answers

:/ im sorry but i needa get my points i dnt kno the answer tho srry

A 16 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the side of the house. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree. (plz help listing BRAINLIST)​

Answers

Answer:

55.8

Step-by-step explanation:

cos(x)=9/16

x=55.8

The angle of elevation of the ladder is approximately 60.5 degrees.

To find the angle of elevation (x) of the ladder, we can use trigonometry. The ladder, the side of the house, and the ground form a right triangle. The length of the ladder is the hypotenuse of the right triangle, and the distance from the bottom of the ladder to the house is one of the legs.

Using the tangent function:

tan(x) = opposite/adjacent

tan(x) = 16 ft / 9 ft

Now, solve for x:

x = arctan(16/9)

Using a calculator, we find

x ≈ 60.5 degrees

So, the angle of elevation of the ladder is approximately 60.5 degrees.

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