Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged $1650. What was the rate charged per hour by each mechanic if the sum of the two rates was $140 per hour?

Answers

Answer 1
x = rate of mechanic who worked 5 hours
y = rate of mechanic who worked 15 hours

Then

x + y = 235
5x + 15y = 2375

Just solve these 2 equations above for x and y.

x + y = 235 ⇒ x = 235 - y

Substitute into second equation to find y.

5(235 - y) + 15y = 2375

1175 - 5y + 15y = 2375

10y = 1200

y = 1200/10 = 120

x = 235 - y = 235 - 120 = 115

The mechanic who worked 5 hours charged $115 per hour, the one who worked 15 hours charged $120 per hour.

Related Questions

Please help me with this problem it is pair each of triangles are similar but not drawn to scale. Calculate any lettered lengths

Answers

b = 5.5m a = 6m

b = 17cm a = 80cm

Step-by-step explanation:

The second triangle in the pair is a scaled-up version of the first triangle.

To find b in the first triangle you do 11/2 = 5.5m

To find a in the second triangle you do 3*2 = 6m

To find b in the third triangle you do 68/4 = 17cm

To find a in the fourth triangle you do 20*4 = 80cm

I-Ready sucks. Please help. I’m a bit young so it might be easy for you.

Answers

Answer:

answer is b

Step-by-step explanation:

The answer is B the second option.

Solve for the portion (in $). Round to hundredths when necessary.
8 1/2% of $200 is $

Answers

8.5% of $200 is $17 :)
(8.5 * 200)/100 = 17

what is ⁴√90 rational or irrational or not rational​

Answers

Answer:37.9 or 38

Step-by-step explanation:

Una pelota se deja caer de una determinada altura, y en cada rebote que da pierde 1/4 de la altura. Si después de 3 rebotes alcanza una altura de 27 metros, cuál es la altura desde donde se le dejó caer

Answers

Answer:

Step-by-step explanation:

On this page, an interesting example is presented that allows the student to obtain expressions for a general case after examining the first two or three situations. It is an exercise in geometric progressions, a common topic in elementary-level Mathematics courses.

 

Bounces in the horizontal plane

Balon7.gif (2174 bytes)  

When a ball bounces off a rigid board, the component of the velocity perpendicular to the board decreases in value, leaving the parallel component unchanged

v x = u x

v y = -e u y

 

Heights of successive bounces

Suppose a ball is dropped from an initial height h . We are going to calculate the heights of the successive bounces.

1.-First bounce

The velocity of the ball before it hits the ground is calculated by applying the principle of conservation of energy

 

The velocity of the ball after the collision is (in modulus) v 1 = e u 1

The ball ascends with an initial velocity v 1 , and reaches a maximum height h 1 which is calculated by applying the principle of conservation of energy

2.-Second bounce

The velocity of the ball before it hits the ground is calculated by applying the principle of conservation of energy

The velocity of the ball after the collision is v 2 = e u 2

The ball ascends with an initial velocity v 2 , and reaches a maximum height h 2 which is calculated by applying the principle of conservation of energy

3.-Bounce n

After collision n , the maximum height the ball reaches is

h n = e 2n h

 

Loss of energy experienced by the ball

In the first collision, the ball loses an energy

In the second collision, the ball loses an energy

In the collision n the ball loses an energy

The sum of Δ E 1 + Δ E 2 + Δ E 3 +…. Δ E n is the energy lost by the ball after n collisions. After infinite collisions the ball will have lost all its initial energy mgh . We are going to check it by adding the infinite terms of a geometric progression of ratio e 2 and whose first term is Δ E 1

Time it takes for the ball to stop.

The time it takes for the ball to reach the ground when dropped from a height h from rest is

The ball bounces and rises to a height h 1 , then falls back to the ground. The time it takes to go up and down is

The ball bounces and rises to a height h 2 , and then falls back to the ground. The time it takes to go up and down is

The total time after infinite bounces is the sum of t 0 and the terms of a geometric progression whose first term is 2 t 0 e and whose ratio is e.

If the ball is given a horizontal initial velocity v x . After infinite bounces, it moves a horiz

You want to be able to withdraw $25,000 from your account each year for 20 years after you retire.

You expect to retire in 25 years.

If your account earns 6% interest, how much will you need to deposit each year until retirement to achieve your retirement goals?

Answers

Answer:

When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.

Savings Annuity Payout Annuity

P

N

=

d

(

(

1

+

r

k

)

N

k

1

)

(

r

k

)

P

0

=

d

(

1

(

1

+

r

k

)

N

k

)

(

r

k

)

PAYOUT ANNUITY FORMULA

P

0

=

d

(

1

(

1

+

r

k

)

N

k

)

(

r

k

)

P0 is the balance in the account at the beginning (starting amount, or principal).

d is the regular withdrawal (the amount you take out each year, each month, etc.)

r is the annual interest rate (in decimal form. Example: 5% = 0.05)

k is the number of compounding periods in one year.

N is the number of years we plan to take withdrawals

PLEASE HELP WORTH 10

C. The base coat of the streaming service per month

D. The total cost per month assuming one song is downloaded

Answers

How much the streaming services charge per download song.

What is the area of the figure

Answers

Answer:

c

Step-by-step explanation:

subtract 5.4 from 9.9 to get the length of the triangle then multiply by 3.3 and 1/2 to get the area of the triangle then add that to the area of the rectangle by multiplying 5.4 by 3.3

4.5 x 3.3 x 1/2 = 7.425

5.4 x 3.3 = 17.82

7.425 + 17.82 = 25.245

Number A is 4.576. Number 3 10.043 greater than a. Number Cis 2.510 less than 8. What is the total
walue of numbers A. B, and ?

Answers

Answer:

14.619

Step-by-step explanation:

10.043 + 4.576 = 14.619

I need help with this question

Answers

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

[tex]=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896[/tex]

About how many more people lived in California than in Texas in the year 2013?
A. twenty thousand
B. two million
C. twenty million
D. ten million

Answers

Answer:

D - ten million

Step-by-step explanation:

California had a population of 38.26 million in 2013

Texas had a population of 26.48 million in 2013

38.26-26.48 is closest to 10 million

Answer:

D. ten million

Step-by-step explanation:

Hope this help :>

bro someone help


Shfggsgsgsfffaca

Answers

Answer:

A opens upward

Step-by-step explanation:

An IQ test is designed so that the mean is 100 and the standard deviation is for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with ​% confidence that the sample mean is within IQ points of the true mean. Assume that and determine the required sample size.​

Answers

Answer:

i don't know I'm sorry

Answer:

The sample size is  n=246

Step-by-step explanation:

De lenguaje común a algebraico:La altura (h) de un triángulo equilátero es igual a la raíz de la diferencia
de uno de sus lados (L) al cuadrado menos la mitad del cuadrado de
otro de sus lados. Evalua cuando el lado(L) sea igual a 8 y escribe la
respuesta.
*

Answers

La respuesta es 6.92 en su expresión más pequeña porque dice la altura de un triángulo equilátero es igual solo sacas las fórmula de la altura de un triángulo que es a^2=c^2+B^2 osea haci que sustituye con valores h^2= 8^2-4^2=h^2 8x8=64 4x4=16 64-16= √48 = 6.92

The last time it placed an order for ingredients, Sweet Treats Bakery ordered 3,230 kilograms of sugar. This time, the bakery is ordering 80% more sugar. How much sugar is that?

Answers

Answer:

5,814 kilograms of sugar

Step-by-step explanation:

3,230 x 80% = 3,230 x 0.8

3,230 x 80% =2584

2584+3230=5,814

5.1 Sq ft = how many sq in? Give me a whole number or a decimal. Round to the appropriate number of significant digits. Thanks!

Answers

Answer: 734.4 square inches

Step-by-step explanation:

Help please:):) :) ✨✨✨✨✨✨

Answers

Answer:

5

Step-by-step explanation:

D=[tex]\sqrt{ (-3-2)^{2} +(-7--7)^2[/tex]

D=[tex]\sqrt{5^{2}+0^2 }[/tex]

D=5

Cheyenne's car is in the shop, so she needs to rent a car for 4 days. The cost of a
rental car is $24.99 per day, and she will be charged $0.18 per mile for every mile
she drives over 200 miles. If she drives 300 miles and the sales tax she pays on the
rental is 5.5%, how much will she pay for this rental?
$117.96
$130.94
$99.96
$124.45

Answers

Answer:

Cheyenne's rental car will cost $124.45

Step-by-step explanation:

24.99(cost/day)*4 days=99.96

300(mi driven)-200(mi allowed)=100 miles that must be paid for

100*.18(cost per mile)=18.00

99.96+18.00=117.96

117.96*.055(5.5% tax rate)=6.49

117.96+6.48=124.45

Please allow me to know if I helped you by clicking thank you, rating or brainly.

Miss Hawaii

142.6 divided by 2.3

Answers

The answer to your question is 62

The quotient for the division of given decimal numbers is 62.

Given that, 142.6 divided by 2.3.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 142.6 divided by 2.3 [tex]=\frac{142.6}{2.3}[/tex]

[tex]=62[/tex]

Therefore, the quotient for the division of given decimal numbers is 62.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ3

S
Question 8
1 pts
Lana deposited $57 into a savings account with a rate of 6%
and earned $51.30 in simple interest.
How long did it take the account to earn the $51.30 in
simple interest?

Answers

Answer:

I am also doing this let me try it and than o will help you

3 A piece of ibbon of lengh 84 cm is divided
into three pieces in the ratio 1:47. Calculate the
length of the longest pieces
?

Answers

Add the 3 ratio portions together: 1 + 4 + 7 = 12

Divide total length by 12:

84/12 = 7

Multiply each ratio portion by 7:

1 x 7 = 7

4 x 7 = 28

7 x 7 = 49

The longest piece is 49 cm

Answer:

49cm

Step-by-step explanation:

1x+4x+7x=84

12x=84

X=7

4*7=28

7*7=49

So we can see 49cm is the longest.

Adding Unlike denominators 1/11 + 1/4

Answers

Answer: 15/44

Step-by-step explanation:

You have to make the denominators match so:

1/11(4) + 1/4(11)=

4/44 + 11/44=

15/44

15/44

Step-by-step explanation:

[tex]\begin{aligned}\frac{1}{11}+\frac{1}{4}&=\frac{4+11}{44}\\&=\bf\frac{15}{44}\end{aligned}[/tex]

how can you write an equivalent expression using a decimal

Answers

Answer:

The last one 0.35(10)

Step-by-step explanation:

okay 35/100

decimals are set up like this

5.432

The 5 is in the wholes

4 is the tenths

3 in the hundredth

2 in the thousandths

so since is it out of 100 you put the number in the hundredth

hope this helpsss :)

A store is open 9 hours each day. It is open 6 days each week. How many hours hours is the store open each week. Explain how you can find the answer using Distributive property with multiplication and subtraction

Answers

Answer:

54 hours

Step-by-step explanation:

9 hours everyday, so you just mulitply the amount of the hours to the amount of days. equation: 9x6

The hours is the store open each week would be 54 hours

What is the distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a x b + a x c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space). This property is known by distributive law and applies to subtraction also.

Given that store is open 9 hours each day. It is open for 6 days each week.

Using Distributive property with multiplication and subtraction;

we just need to multiply the number of hours by the number of days. equation:

9 hour every day

9  x 6 = 54 hours

Hence, 54 hours every day the store is open each week.

Learn more about the distributive property here;

https://brainly.com/question/5637942

#SPJ2

If the showerhead is used for 0 minutes, how many gallons of water
will be used? What ordered pair represents this situation? What is
this location called?
broove no one is using the showers

Answers

The shower head follows a linear function

The ordered pair when the shower head is used for 0 minutes is (0,0)The location on the graph is called the y-intercept.

From the complete question, we understand that:

Each minute, 5 gallons of water are used

This mean that, the possible ordered pairs are:

[tex]\mathbf{(x,y)= \{(1,5),(2,10),(3,15).....\}}[/tex]

When the shower head is used for 0 minutes we have:

[tex]\mathbf{(x,y)= \{(1-1,5-5)\}}[/tex]

[tex]\mathbf{(x,y)= \{(0,0)\}}[/tex]

The ordered pair when the shower head is used for 0 minutes is (0,0)

The location on the graph is called the y-intercept.

Read more about ordered pairs at:

https://brainly.com/question/13688667

Please answer! No links!!!

Picture is included.

Answers

Answer:

B

Step-by-step explanation:

[tex]0.(81) = \frac{81}{99} = \frac{9}{11}[/tex]

A bag contains 60 frisbees. Some are white and the rest are orange. There are 14 white Frisbees for every orange Frisbee. How many white Frisbees are there.

Answers

Answer:

there are 56 white frisbees

Form the union for the following sets.
R = {10, 15, 20)
$ = {20, 25}
R u S =
{10, 15, 20, 25)
{ }
{20}
{10, 15, 25}

Answers

The union of two sets is all the elements in one set OR the other set (or both)
R u S = {10, 15, 20, 25}

y + 6.2x = -13 , when x= -4

Answers

Answer:

y + -24.8 = -13

Step-by-step explanation:

y + 6.2x(-4) = -13

y + -24.8 = -13

To determine the final answer you would need to figure out the value of Y.

Find the value of x that makes m ∥ n.

Answers

Answer:

40°

Step-by-step explanation:

120 = 3x

x = 120 : 3

x = 40°

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