Peralta and Amy worked last winter shovelling their neighbour's driveway. Amy earned $8 more than twice the amount earned by Peralta. If their earnings totalled $110, how much did Amy earn? Use an algebraic equation to solve this problem.

Answers

Answer 1

Answer:

$76

Step-by-step explanation:

Peralta and Amy worked last winter shovelling their neighbour's driveway.

Let the amount

Peralta earns = x

Amy earns = y

Amy earned $8 more than twice the amount earned by Peralta.

y = 2x + $8

y = 2x + 8

If their earnings totalled $110,

x + y = 110

x = 110 - y

We substitute 110 - y for x

Hence:

y = 2(110 - y) + 8

y = 220 - 2y + 8

Collect like terms

y + 2y = 220 + 8

3y = 228

y = 228/3

y = 76

Since, the amount Amy earns = y

Therefore, Amy earned $76


Related Questions

Complete the equation of this circle:
А
(x - [ ? ])2+(y - [ ])2= [ ]

Answers

equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2,

so in first box - h

in second box - k

after equal to box = r²

Answer:

The answers that would be put into the question box's are: 3, 2, and 16:

(x - 3)^2 + (y - 2)^2 = 16 :)

Hope this helps

Find the volume of the rectangular prism. 4.5 cm 2.5 cm 3 cm​

Answers

The volume of the rectangular prism is 33.75 cm^3

Answer:

33.75 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula for a rectangular prism is [tex]l*w*h[/tex] where l is the length, w is width, and h is height. So, to solve plug in the given sides to get, 2.5*3*4.5. This equals 33.75 [tex]cm^{2}[/tex].

find the slope of the line that passes through (23,-3) and (81,91)

Answers

Answer: m = 94 / 58 = 47 / 29 = 1.62069

Step-by-step explanation:

Answer:

47/29

Step-by-step explanation:

To find the slope between two points

m = ( y2-y1)/(x2-x1)

   = ( 91- -3)/(81 - 23)

   = ( 91+3)/(81 - 23)

   = 94/58

   = 47/29

find the area of a circle with a diameter of 102 in

Answers

The area of a circle is the radius squared x pi.

Area = r^2 x pi

R is the radius which is half the diameter.

Diameter = 102 inches

Radius = 102/2 = 51 inches

Area = 51^2 x pi

Area = 2,601pi inches^2 ( in terms of pi) or

Area = 8,167.14 inches^2

Answer:

Area of circle is 8,167.14 cm ²

Step-by-step explanation:

We have

diameter of circle = 102 cm

And we need to find area of circle,

So the formula we using is

Area of circle = π ×r ²

Here,

R denotes for Radius

π denotes for pi.

For finding area of circle we need to find radius

here we have diameter of circle = 102 cm and

We know that ,diameter is the double of radius it means radius is the half of diameter

So, radius of circle = 102/2 = 51 cm

Now Solve it

Area of circle = π × ( r ) ²

Substitute the value

Area of circle = 3.14 × ( 51cm )² .. [ using π = 3.14 ]

Multiply the values

Area of circle = 3.14 × ( 51 cm × 51cm) ..[( 51 ) ²= 51 × 51]

Area of circle = 3.14 × 2,601 cm².

Therefore , Area of circle is 8,167.14 cm ²

cual es el resultado de esta ecuacion 8x+9=25

Answers

25? No entiendo perdón

Answer:

x=2

Step-by-step explanation:

Hope I helped and I hope you get it correct

what is the perimeter?

Answers

P = 8 + 10 + 8 + 10

P = 36

..................................

please help fill in the blanks!!

Answers

Answer:

1. 69

2. 198

3. 50

use subtraction and addition

Two complex numbers are represented by c + d[tex]i[/tex] and e-f[tex]i[/tex] , where c, d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences.

Answers

Answers: First Quadrant and Fourth Quadrant

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

Explanation:

Let

w = c + diz = e - fi

be the two complex numbers.

Multiply them out to see what we get

[tex]w*z = (c+di)(e-fi)\\\\w*z = c(e-fi)+di(e-fi)\\\\w*z = ce-cf*i+de*i-df*i^2\\\\w*z = ce-cf*i+de*i-df*(-1)\\\\w*z = ce-cf*i+de*i+df\\\\w*z = (ce+df)+(-cf+de)*i\\\\[/tex]

The result we get is in the form a+bi where

a = ce+df = real partb = -cf+de = imaginary part

Recall that any complex number of the form a+bi can be plotted on the xy plane with 'a' being treated as the x coordinate and b as the y coordinate. In short, the location of a+bi is at the point (a,b)

With c,d,e,f being positive, this means ce and df are positive, and a = ce+df is also positive.

This places the result of wz in either the first or fourth quadrants (the northeast or southeast quadrants respectively), due to the positive x coordinate.

We don't have enough info to determine whether b = -cf+de is positive or not. So that's why we can't nail down the precise quadrant of wz

If b > 0, then wz is in quadrant 1

If b < 0, then wz is in quadrant 4

y=3x+1 on a table graph

Answers

Step-by-step explanation:

Use a Table of Values to Graph the Equation y =3x+1. y=3x+1 y = 3 x + 1. Substitute −2 - 2 for x x and find the result for y y . y=3(−2)+1 y

What is domain? What is domain?

Answers

Answer:

wait I don't understand is this suppose to be a definition, City, or anything?

Answer:

ARN

Step-by-step explanation:

A submarine, located at point S, was hidden at a secret place on a coordinate plane before it

moved to its current position. The movement of the submarine is described by the translation x,y→x+4,y-6.

Answers

Answer:

The submarine moves 4 units right and 6 units down to get to its current position

Step-by-step explanation:

Given

[tex](x,y) \to (x + 4, y - 6)[/tex]

Required

Describe the movement of the submarine from the initial to the current position

The rule of translation is as follows:

[tex]x \to x + a[/tex] --- This implies right translation by a units

[tex]y \to y -b[/tex] --- This implies down translation by b units

So, we have:

[tex]x \to x + a[/tex]

[tex]x \to x + 4[/tex]

By comparison;

[tex]a =4[/tex]

[tex]y \to y -b[/tex]

[tex]y \to y - 6[/tex]

By comparison:

[tex]b = 6[/tex]

Hence, the submarine moves 4 units right and 6 units down to get to its current position

Help plz i will give brainliest!!!!!

Answers

Answer:

{3,4,5,7,9,10,13,17}

Step-by-step explanation:

The U means union and that means join sets A and B together

A U B

{3,4,5,7,9,10,13,17}

Solve for x algebraically -3x > -18

Answers

Answer:

x < 6

Step-by-step explanation:

-3x > -18

Divide both sides by -3. (Remember to flip the > to <)

x < 6

what is the value of -35•(5/7)?

Answers

Answer:

[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]

Please help, I’ll give brainliest as soon as I can! I need an answer quick

Answers

Step-by-step explanation: 0-9-8+xyz

Please help If you know the answer!!

Answers

Answer:

-3 +8a

Step-by-step explanation:

(3-8a) *(-1)

Distribute

3*-1  -8a*-1

-3 +8a

A bag contains 4 red, 2 blue, 6 green and 8 white marbles. What is the probability of selecting a green marble, replacing it, then selecting a red marble

Answers

Answer:

14.7%

Step-by-step explanation:

Being that there is 4 red, 2 blue, 6 green, 8 white, that means there is 20 marbles, with 8 success, 8/20. Since the marble is not replaced, that drops it to 7/19 for the second pull. Multiply these together and you get 14.7%.

(8/20)*(7/19)=.147

.147*100=14.7

A parallelogram has a base of 9 km and a height of 5 km.

Answers

Answer:

Area= b*h

9*5=45km^2

Step-by-step explanation:


Yasmin swims at her local swimming pool.
She pays $4.65 each time she visits the pool.
Calculate the total amount of money she pays for 7 visits to the pool.

Answers

$31.50 because if she has to pay 4.65 and she went 7 times u have to multiply the two to get your answer

Solve the system of equations.
y=9x+17
y=x+49

Answers

Answer:

y = 10x + 66

Step-by-step explanation:

I don't know if this is how you wanted me to do it, there was not enough information for me to conclude if this was the correct way to do it. but I added 9x + x and whenever there is a variable without a number in front of it the variable = 1x or whatever the variable is. So 9x + 1x= 10x and 17+49= 66 so put it together and you get y= 10x +66

Answer:

y-9x=17-----1

y-x. =49----2

2-1

y-x-(y-9x)=49-17

y-x-y+9x.= 32

8x =32

x=4

y=4+49

=53

x=4

y=53

A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!

Answers

Answer:

V≈ 863.27 in³

Step-by-step explanation:

i was arguing with this guy in dahood yesterday and he said "i f'd ur dog to death how that make u feel".​

Answers

Answer:

that something very disgusting to even say wdf

Step-by-step explanation:

HELPPPP Q24 &27......

Answers

Answer:

24. f'(2)=4

27. f'(2)=√2/4

Step-by-step explanation:

Sorry if I'm wrong

what difference is there please tell me in a mathematical way​

Answers

the difference is that non-functional requirements describe how the system works, while functional requirements describe what the system should do
The left in is a function because there is a matching number/value and the right their is no similar function/number/value

Work out the height of this triangle with base,
b = 8mm
and area,
A= 218.8mm2.

Answers

Answer:

54.7

Step-by-step explanation:

You have to devide 218.8 with the base
h= 218.8 devided by 8mm gives us 27.35 mm and if you multiply 8 by 27.35 it gives you the same answer for the area

what is the area of the base of the cone below?

a) 2.4 ft^2
b) 4 ft^2
c) 22.5 ft^2
d) 26 ft^2

Answers

Answer:

[tex] \frac{1}{3} \times 12 \times area = 90 \\ area = 90 \div 4 = 22.5[/tex]

1/2 divided by 2/3 =

Answers

3/4. Keep change flip. 1/2 x 3/2 = 3/4

1856684474+734794678

Answers

This is 2591479152
…………

find the length of the diagonals of rectangle QRST

Answers

Answer:

11. 26

12. 111

Step-by-step explanation:

_____________

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Compute the mean score of these students The following data set are the quiz scores for 14 students. . 76,66,55,80,80,72,97,70,80,72,88,50,63,76

Answers

Answer:

73.214285714285714285714285714286 (or 73 rounded down)

Step-by-step explanation:

76, 66, 55, 80, 80, 72, 97, 70, 80, 72, 88, 50, 63, 76

76 + 66 + 55 + 80 + 80 + 72 + 97 + 70 + 80 + 72 + 88 + 50 + 63 + 76 = 1025

1025/14 = 73.214285714285714285714285714286

73.214285714285714285714285714286 ≅ 73

Answer:

73.2

Step-by-step explanation:

76+66+55+80+80+72+97+70+80+72+88+50+63+76 =1025

Mean = 1025/14

= 73.2

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