Here’s the question:

Steven earns extra money babysitting. He charges $46.50 for 6 hours and $62.00 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 =

I’m stumped. Can you help me find the answer along with an explanation? Thanks.

Answers

Answer 1

Answer:

An easy way to solve this problem is divide $23.25 by 3 or $54.25 by 7. Either way, you get $7.75. This number represents the amount of money he makes for 1 hour. So with that in mind, the correct equation is:

$7.75x = y

Step-by-step explanation:

Answer 2

Answer: y = 7.75x

Step-by-step explanation:

Find the difference of charges between 6 hours and 8 hours

62-46.5 = 15.5 for 2 hours

15.5/2 = 7.75/hr

62 = 7.75 x 8

Therefore there is no initial charge, and that the relationship is linear

so y = 7.75x


Related Questions

What is the third number in this sequence?

Answers

Step-by-step explanation:

x = the first number of the sequence

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519

6x + 1 + 2 + 3 + 4 + 5 = 519

6x = 504

x = 84

so, the third number is x+2 = 84 + 2 = 86

A Quadrilateral ABCD is rotated 55° about point R to create quadrilateral A' B'C'D'. QUICK. PLEASE

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.8 units

x=y^2+4y+4 solve for y

Answers

Answer:

y=

x

−2

y=−

x

−2, x≥0

y=−

x−2, x≥0

Step-by-step explanation:

16,40 and 56 LCM
Solve please

Answers

Answer:

pic?

Step-by-step explanation:

send me the picture please

I need help solving this problem

Solve for X

Answers

Answer:

x = -7

Step-by-step explanation:

The 2 horizontal lines are parallel as given ion the problem.

The x + 97 angle is congruent to the right angle.

x + 97 = 90

x = -7

when the height of a rectangular prism was halved, the volume was 168 cubic cm. if the original prism had a length, width, and height of consecutive integers, increasing in that order,

(a) write and equation to solve for the length, x, of the original figure,
(b) solve length, x,
(c) show that the equation is unique
show all work.​

Answers

a) The equation is therefore; x³ + 3x² + 2x = 336

b) Solving for the length, we get the length to be; x = 6.

c) All workings are as shown below;

According to the question;

When the height of a rectangular prism was halved, the volume was 168 cubic cm.

In essence, the volume of the original prism is;

Volume = 168 × 2.

Volume = 336cm³

Since, the original prism had a length, width, and height of consecutive integers, increasing in that order.

Therefore, length = x

width = (x +1)

height = (x +2)

Volume = x (x+1) (x+2) = 336

a) The equation is therefore;

x³ + 3x² + 2x = 336

b) Solving for the length, x is as follows;

(x-6) (x² + 9x + 56) = 0

By testing values and checking;

Upon solving the polynomial, x = 6.

c) All workings are as shown above.

Read more on cubic equation:

https://brainly.com/question/8878887


A rectangular pool has a length of
4x + 7 feet and a width of 15x - 2 feet. Which
expression represents the perimeter of the
pool?

Answers

P=(15x-2+4x+7)2=(19x+5)2=38x+10

Which triangle is a 30°-60°-90° triangle?

Answers

Answer:

-90

Step-by-step explanation:

it's right

Answer:

The first one.

Step-by-step explanation:

I took the quiz and got a 100, hope this helps :))

Nick wants to buy a pair of shoes. The original cost of the shoes is $56.75, and the markup is 12 percent. How much will he have to pay for the shoes?

Answers

Answer:

Nick will have to pay $63.56 for the shoes.

Step-by-step explanation:

f the original cost of the shoes is $56.75 and the markup is 12% greater than the original price, the final price would be $63.56.

$56.75 • 0.12 = $6.81

$56.75 + $6.81 = $63.56

$56.75 + 12% = $63.56

Answer:

Nick will have to pay $63.56 for the shoes.

One number is eight more than twice another. If their difference is 25, what is the larger
number?
35
42
17

Answers

Answer:

17

Step-by-step explanation:

Let the smaller number = x

Let the larger number = y

y = 2x + 8

y - x = 25                Add x to both sides

y = x + 25               Substitute this into the first equation

x + 25 = 2x + 8       Subtract 8 from both sides

x + 25 - 8 = 2x        Combine

x + 17 = 2x               Subtract x from both sides.

17 = 2x - x                Combine

17 = x

Can someone solve this, please?
AND FAST

Answers

Answer: 40

Step-by-step explanation: yes make me brainlist (its the crown)

the inequality –1 + 6(–1 – 3x) > –39 – 2x.

Answers

Answer:

x > 2

Step-by-step explanation:

-1+6(-1-3x)>-39-2x

-1-6 - 18x > -39 - 2x

-7 - 18x + 2x > -39 - 2x + 2x

-7 - 16x + 7 > -39 + 7

16x / 16 > -32 / 16

x > 2

ANSWER: x < 2
Ok done. Thank to me :>

Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?

Answers

900

You work backwards;
Since he read 3/4 of the remainder that would be 75 x 4 because 75 was left after 3/4. You would get 300. Then, you would do 300 / (1/3), this is getting the final thing, equals 900.
Hope this helps!

Part 1 of 2
O Points
What are the lateral surface area and total surface area of a cylindrical oil storage tank that has a 44-ft diameter and 18-ft height?
The lateral surface area of the cylindrical oil storage tank is
(Round to one decimal place as needed.)

Answers

The Lateral Surface Area of the cylindrical oil storage tank is [tex]2486.9\text{ sq.ft}[/tex]

The Total Surface Area of the cylindrical oil storage tank is [tex]5526.4\text{ sq.ft}[/tex]

If the height and base radius of the cylindrical oil storage tank are represented by [tex]h[/tex] and [tex]r[/tex] respectively, then

The Lateral Surface Area, also known as the Curved Surface Area, of the cylindrical oil storage tank has the formula

[tex]L=2\pi rh[/tex]

The Total Surface Area of the cylindrical oil storage tank has the formula

[tex]T=2\pi rh+2\pi r^2\\T=2\pi r(h+r)[/tex]

The values for the height and base radius are [tex]18ft[/tex] and [tex]22ft[/tex] respectively.

Calculate the Lateral Surface Area

[tex]L=2\pi rh\\=2\times 3.14\times 22\times 18\\\approx 2486.9\text{ sq.ft}[/tex]

Calculate the Total Surface Area

[tex]T=2\pi r(h+r)\\=2\times 3.14\times22(18+22)\\=5526.4\text{ sq.ft}[/tex]

Learn more about the surface area of cylinders here https://brainly.com/question/1037971

Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°

Answers

The measure of the exterior angle at vertex D is: D. 54°

Recall:

The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.

Thus:

In ΔDEF, (8x−2)º is an exterior angle at vertex D.

m∠E = (3x−8)° (interior angle)

m∠F = (4x+13)° (interior angle)

Therefore:

(8x−2)º = (3x−8)° + (4x+13)°

Solve for x

8x - 2 = 3x - 8 + 4x + 13

Combine like terms

8x - 2 = 7x + 5

8x - 7x = 2 + 5

x = 7

Exterior angle at vertex D = (8x−2)º

Plug in the value of x

= 8(7) - 2

= 54º (option D)

Learn more about exterior angle theorem on:

https://brainly.com/question/24756010

6x+3y=13 find the value

Answers

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

After sitting in a refrigerator for a while, a turkey at a temperature of 34^\circ34

F is placed on the counter and slowly warms closer to room temperature (67^\circ67

F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T=T
a

+(T
0

−T
a

)e
−kt

T_a=T
a

= the temperature surrounding the object
T_0=T
0

= the initial temperature of the object
t=t= the time in minutes
T=T= the temperature of the object after tt minutes
k=k= decay constant

The turkey reaches the temperature of 45^\circ45

F after 15 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 60 minutes.

Enter only the final temperature into the input box.

Answers

The temperature of the body after 60 minutes is  60.5° F.

Using the Newton's law of cooling;

T(t) =[tex]Ts + (To - Ts)e^-kt[/tex]

T(t) = temperature at time t

Ts = temperature of the surrounding

To = Temperature of object

t = time taken

k = cooling constant

Now;

[tex]T(t) -Ts=(To - Ts)e^-kt\\45 - 67 = (34 - 67)e^-15k\\-22 = -33e^-15k\\-22/-33 = e^-15k\\0.667 = e^-15k\\ln(0.667) = ln( e^-15k)\\-0.405 = -15k\\k = -0.405/ -15\\k = 0.027[/tex]

At t = 60 min

[tex]T(t) = Ts + (To - Ts)e^-ktT(60) = 67 + (34 - 67)e^-( 0.027*60)\\T(60) = \\67 + (-33)e^-( 0.027 * 60)\\T(60) = \\60.5 F[/tex]

T(60) = 60.5° F

Learn more about Newton's law of cooling: https://brainly.com/question/13748261

Answer:

T≈169

Step-by-step explanation:

Enter only the final temperature into the input box.

T_a = 67\hspace{50px}T_0=210

T  

a

=67T  

0

=210

\text{Write Formula:}

Write Formula:

T=67+(210-67)e^{-kt}

T=67+(210−67)e  

−kt

 

Plug in givens

\color{blue}{T}=67+143e^{-k\color{green}{t}}

T=67+143e  

−kt

 

Simplify

\text{Plug in given time and temperature:}

Plug in given time and temperature:

\color{blue}{193}=67+143e^{-k(\color{green}{1.5})}

193=67+143e  

−k(1.5)

 

Simplify

\text{Solve for }k\text{:}

Solve for k:

193=

193=

\,\,67+143e^{-1.5k}

67+143e  

−1.5k

 

-67\phantom{=}

−67=

\,\,-67

−67

126=

126=

\,\,143e^{-1.5k}

143e  

−1.5k

 

\frac{126}{143}=

143

126

=

\,\,\frac{143e^{-1.5k}}{143}

143

143e  

−1.5k

 

 

Divide by 143

0.8811189=

0.8811189=

\,\,e^{-1.5k}

e  

−1.5k

 

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,\ln\left(e^{-1.5k}\right)

ln(e  

−1.5k

)

Take ln of both sides

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,-1.5k

−1.5k

\frac{\ln\left(0.8811189\right)}{-1.5}=

−1.5

ln(0.8811189)

=

\,\,\frac{-1.5k}{-1.5}

−1.5

−1.5k

 

Divide by -1.5

0.0843751=

0.0843751=

\,\,k

k

k\approx

k≈

\,\,\color{blue}{0.084}

0.084

Round k to nearest thousandth

\text{Complete Formula:}

Complete Formula:

T=67+143e^{-\color{blue}{0.084}t}

T=67+143e  

−0.084t

 

Plug in k

\text{Find temperature after }\color{green}{4}\text{ minutes:}

Find temperature after 4 minutes:

T=67+143e^{-0.084(\color{green}{4})}

T=67+143e  

−0.084(4)

 

Plug in time

T=67+143e^{-0.336}

T=67+143e  

−0.336

 

Multiply

T=169.1911041

T=169.1911041

Plug into the calculator

T\approx 169

T≈169

Show all work to multiply
(3+ square root -16) (5 – square root -25)

Answers

[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]

Area =12
X+2
X+4
X =

Answers

Answer:

To find area of the square you'll need to square one side

(3X)^2 = 81

9(X)^2 = 81

(x)^2 = 81/9

x^2 = 9

X = (9)^1/2

X = 3

Someone please help, I think I have an idea but just wanna make sure i'm on the right track

Answers

Answer:

As per graph the rate of Printer A is 15 pages per minute.

Missing words are:

(a) greater than

(b) greater than

(c) 15

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

or

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

 

Step-by-step explanation: it's either greater than or more than

From the graph of the printing rate of Printer A, we can see that;

At 1 minute, number of pages printed = 15

At 2 minutes, number of pages printed = 30 minutes

At 3 minutes, number of pages printed = 45

Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes

Since printer B can print 25 pages per minute, we can conclude that;

The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A

The perimeter of a rectangular field is 314 m.
If the width of the field is 72 m, what is its length?

Answers

Answer:

85m

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

b=72m, l=?

perimeter =314m

314=2(l+72)

314/2= l+72

157=l+72

l=157-72

l=85m

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs.
Let x be the calf's age and y be the weight.
a. Write an equation in slope-intercept form that represents the situation.

Answers

The equation in slope-intercept form that represents the situation is y = 3x + 12

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let x be the calf's age in month and y be the weight.

A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:

(2, 18) and (8, 36). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]

The equation in slope-intercept form that represents the situation is y = 3x + 12

Find out more on linear equation at: brainly.com/question/14323743

Pls help fast i will mark brainlyest

Answers

m || nTherefore, the alternate angles are equal.Therefore, (7x - 3)° = (6x + 17)°or, 7x° - 6x° = 17° + 3°or, x° = 20°or, x = 20

Answer:

x = 20

Hope you could get an idea from here.

Doubt clarification - use comment section

What is the solution to the equation 8b+32=104?

Answers

Answer: the answer is b=9

Step-by-step explanation:

Step 1: Subtract 32 from both sides.

104-32= 72

Step 2: Divide both sides by 8.

72 divided by 8 is 9

therefor the answer is 9

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Answers

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

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Alfredo's Towing Service charges $53.27 for its hook-up fee plus $29.25 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 29.25m + 53.27

Which value in the equation represents the rate of change?

A - $82.52
B - $29.25
B - The number of miles towed
C - $53.27

Answers

I am pretty sure it is B, because per mile that changes

~ Also I don’t know if there is supposed to be B twice if so it is both of them

Hi need help for this maths question

Answers

a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have

[tex]\displaystyle \int_{-\infty}^\infty f(y) \, dy = \frac14 \int_0^\infty e^{-\frac y4} \, dy = -\left(\lim_{y\to\infty}e^{-\frac y4} - e^0\right) = \boxed{1}[/tex]

so both conditions are met and f(y) is indeed a PDF.

b) The probability P(Y > 4) is given by the integral,

[tex]\displaystyle \int_{-\infty}^4 f(y) \, dy = \frac14 \int_0^4 e^{-\frac y4} \, dy = -\left(e^{-1} - e^0\right) = \frac{e - 1}{e} \approx \boxed{0.632}[/tex]

c) The mean is given by the integral,

[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \int_0^\infty y e^{-\frac y4} \, dy[/tex]

Integrate by parts, with

[tex]u = y \implies du = dy[/tex]

[tex]dv = e^{-\frac y4} \, dy \implies v = -4 e^{-\frac y4}[/tex]

Then

[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \left(\left(\lim_{y\to\infty}\left(-4y e^{-\frac y4}\right) - \left(-4\cdot0\cdot e^0\right)\right) + 4 \int_0^\infty e^{-\frac y4} \, dy\right)[/tex]

[tex]\displaystyle \cdots = \int_0^\infty e^{-\frac y4} \, dy[/tex]

[tex]\displaystyle \cdots = -4 \left(\lim_{y\to\infty} e^{-\frac y4} - e^0\right) = \boxed{4}[/tex]

What are the coordinates of B

Answers

Answer: (-7,-5)

Step-by-step explanation:

Because when you mark point M and A if you mirror point M and A on the x Axis then you will get (-7,-5)

The tree in Manuel’s backyard is 6.8 m high. How high is it in centimeters?

Answers

That is 680 centimeters

There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?

Answers

The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

The formula of the volume of a sphere is given below

⇒ Formula:

V = 4/3(πr³)................. Equation 1

⇒ Where:

V = Volume of the spherer = radius of the sphereπ = constant called pie

From the question, There are two spheres.

If the radius of the bigger sphere is two times the radius of the smaller sphere.

R = 2r

⇒ Where

R = bigger radiusr = smaller radius

For the bigger sphere

⇒ Substitute these values into equation 1

V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2

  For the smaller sphere,

V' = 4/3(πr³)............... Equation 3

⇒ Comparing equation 2 and equation 3

V = 8V'

Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

Learn more about volume here: https://brainly.com/question/1972490

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