Two people worked on a car. The first person charged $ 85 per hour, and the second person charged $ 120 per hour. The people worked for a combined total of 15 hours, and together they charged a total of $ 1450. How long did each person work?.

Answers

Answer 1

The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

What is an equation?

An equation is formed when two equal expressions are equated so that the value of a variable can be found.

Let the number of hours for which the first person worked on the car is x

In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,

[tex]x+y =15[/tex]

The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as

[tex]85x+120y = 1450[/tex]

As we got the two-equation solving the two-equation, to get our answer.

In the first equation, we will isolate y, in order to get the value of y in terms of x,

[tex]x+y = 15\\y = 15-x[/tex]

As we got the value of y, substitute the value in the second equation,

[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]

As we have the value of x, substitute the value in the first equation,

[tex]x+y=15\\(5)+y=15\\y=10[/tex]

Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.

Learn more about Equation:

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Related Questions

HELP PLEASE
A 180-ounce bag weighs more than an 11-pound bag. True or false?

True

False

Answers

Answer:

True

Step-by-step explanation:

Just a tip, there are 16 ounces in a pound, and just searching 180 ounces into pounds can help with this stuff to if you don't want to do math yourself

Answer: False

Step-by-step explanation: Pound weighs more in ounce.

What is the equation of a horizontal line passing through the point (1, 14)?
y=1
y= 14
x=1
x=14

Answers

Answer:

y = 14

Step-by-step explanation:

If the line is horizontal, it will always have the ssame value of y for all values of x.  Therefore, y = 14.

One equation in a system of equations is y=2x+10. Which equation below would have to be the second equation so that the system has infinitely many solutions?

Answers

Answer:

D

Step-by-step explanation:

y = 2x + 10 is the same thing as y = 2(x + 5) because 2 x x = 2x and 2 x 5 = 10

Simplify Option D

y=2(x+5)y=2x+2(5)y=2x+10

As everything is same

i.e

A1/A2=B1/B2=C1/C2

Hence infinitely many solutions are present

Will someone please help me with this?!? It’s simple but my answer isn’t correct. I would appreciate it so much

Answers

Answer:

(2x + 1)(3x - 2)

Step-by-step explanation:

f(x) = 6x² - x - 2

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 2 = - 12 and sum = - 1

the factors are + 3 and - 4

use these factors to split the x- term

6x² + 3x - 4x - 2 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) - 2(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x - 2) , then

f(x) = (2x + 1)(3x - 2) ← in factored form

Please help mee
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?​

Answers

Answer:

0.66 cups of cranberry juice is needed to make 1 gallon of punch

Step-by-step explanation:

2 / 3 = 0.66

i hope this helped! have a wonderful rest of your day :)

Is what's below a complete sentence or a fragment?
Iris West is very happy today.

Answers

Answer:

complete sentence

Step-by-step explanation:

it has a subject and a verb

Answer:

I would say sentence.

Step-by-step explanation:

It has punctuation, a subject, and a verb, so I would say it's a sentence.

helpppppp pleaseeeeeee​

Answers

I think it would be b because you can just see how the scent wcw is

The area of a circle is 22.68cm2.
Find the length of the radius rounded to 2 DP.

Answers

Answer: r=2.69. Calculate the radius of circle:Round the number: r=2.69Answer: r=2.69

I need help please! There are only 3 answer choices.
A cat climbed up a 6.5 ft ladder. If the ladder is placed at a 75 degree angle of elevation, then how far up the tree is the top of the ladder?
A) 5.9 feet
B) 6.3 feet
C) 6.7 feet

Answers

Answer:

B) 6.3 feet

Step-by-step explanation:

sin Θ = opp/hyp

sin 75° = h/6.5

h = 6.5 sin 75°

h = 6.3

Answer: B) 6.3 feet

Directions: Solve the following inequalities. Be sure to follow the rules for operations with signed numbers.

1. -4x + 2 > 0

2. +5x > x + 4

3. 3x + 4 < 10

4. -10x + 5 -4 > 4x + 3

5. 6x + 3 < 7x - 10

6. 2x - 4 < 8x + 2

7. -3s + 3 > 3

8. 4s + 2s > 6

9. 6t < 12

10. 11x < 121

11. 3x > 36

12. 25x < 500

13. 16r < 8 (10)

14. 6s > 216

15. 8x < 64

Answers

The solution to 1-15
1. x < 1/2
2.x > 1
3.x < 2
4.x < - 1/7
5.x > 13
6.x > -1
7. s = 0
8.s > 1
9.t < 2
10.x < 11
11.x > 12
12.x < 20
13.r < 5
14.s > 36
15.x < 8
Thats all hope it helps and sorry if its incorrect and yes im very sure!

(56x + 16y) × 0,4/x = 32
what is x and y?

Answers

Answer:

112x + 32y

----------------

      5x

Step-by-step explanation:

x and y are variables

1- Convert the expression

2- Simplify the expression

3- Calculate

Help if you understand Thanks

Answers

Answer:

b

Step-by-step explanation:

Repeating domain (x-values) does not represent a function.

Option b does not have any repeating domains.

Hope this helps!

Answer:

The answer is the third one.

Step-by-step explanation:

Hopefully this is helpful :)

Given cos 0 = 1/6 and angle 0 is in Quadrant IV, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.

Answers

cos 0 = 1/6

1 - cos²0 = sin²0

sin²0 = 35/36

in quadrant IV (4) the cos is positive sin is negative.

sin0 = - √35/6

Given the function f(x)=4x2−3x+4f(x)=4x2-3x+4. Calculate the following values:

f(−2)=f(-2)=
f(−1)=f(-1)=
f(0)=f(0)=
f(1)=f(1)=
f(2)=f(2)=

Answers

Answer:

  26, 11, 4, 5, 14

Step-by-step explanation:

To find the value of the function, replace the variable with the number and do the arithmetic.

  f(-2) = 4(-2)² -3(-2) +4 = 16 +6 +4 = 26

For doing repetitive calculations, it is convenient to write the formula into a calculator or spreadsheet and let it work from the list of values. That is what we did in the attached. It shows a table of x and f(x) for the values of x you are interested in.

The function values are ...

f(-2) = 26f(-1) = 11f(0) = 4f(1) = 5f(2) = 14

_____

Additional comment

For evaluating polynomials, either by hand or machine, it is often convenient to rewrite the polynomial in Horner Form. The total number of math operations tends to be reduced. When doing this by hand, the arithmetic tends to be easier.

  f(x) = (4x -3)x +4

That is, the powers of x accumulate as each layer in parentheses is multiplied by x and the next coefficient added to the result.

Using this form, ...

  f(-1) = (4(-1) -3)(-1) +4

  f(-1) = (-7)(-1) +4 = 11

Just an answer and a simple explanation are needed. Please and thank you!

Answers

Answer:

KL = 51

Step-by-step explanation:

1: Make an equation

[tex]10x -2 = 5x-8 + 7x -12[/tex]

the 10x is the JL line which is the whole line segment

2: start solving by getting all x to be on one side

[tex]10x-5x-7x = -8 -12 +2[/tex]

3: simplify

[tex]-2x = -18[/tex]

4: solve for x

[tex]x=9[/tex]

5: plug x back into KL

[tex]7(9)-12 = 51[/tex]

I need help!!!!!!!!!

Answers

Answer:

Greatest- 2 × 4/9

Then- 1  2/3 × 4/9

Then- 7/7 × 4/9

Lest- 3/4 × 4/9

Step-by-step explanation:

The right hand fraction you are timing by is the same whilst on the left they grow so you order them and dont focus on the times aspect of the question



Syntax error wrong question

please please please help

Answers

Answer:

32

4 cups

Step-by-step explanation:

Answer:

ratio

Step-by-step explanation:

0 to 100

i dont know the second one srry

Hi! -2x + y = -11 4x + 4y = 4 System by substitution!!!

Answers

Answer:

Point Form:

(

8

3

,

5

3

)

Equation Form:

x

=

8

3

,

y

=

5

3

Answer:

x=4, y=-3, or (4,-3)

Step-by-step explanation:

Hi there!

We are given the following system of equations:
-2x+y=-11

4x+4y=4

And the problem wants us to solve it by substitution

In substitution, we will solve one of the equations for one of the variables to equal an expression containing the other variable, then substitute that expression as the variable it equals into the other equation, solve that equation, then use the value of the solved variable to solve for the first equation we made (the one that is a variable equaling an expression containing the other variable)

It's easier to do this when one of the variables already has a coefficient of 1, as we can just move a couple of terms around without having to multiply or divide anything; for example, in the first equation, -2x+y=-11, y already has a coefficient of 1

So we can just add 2x to both sides, in order to solve the equation for y

-2x+y=-11

+2x      +2x

______________

y=2x-11

Now substitute this expression into the the second equation as y.

So, 4x+4y=4 would become 4x+4(2x-11)=4

Now we need to solve 4x+4(2x-11)=4

Do the distributive property:

4x+8x-44=4

Combine like terms

12x-44=4

Add 44 to both sides

12x=48

x=4

We found the value of x

Now we need to find the value of y
Substitute 4 as x in y=2x-11

y=2(4)-11

Multiply

y=8-11

subtract

y=-3

The answer is x=4, y=-3, or as a point, (4, -3)
Hope this helps!
See more on solving systems by substitution here:
https://brainly.com/question/24420448

Jake is buying a sweater with a price of $30 shown on the tag. The store is having a sale that will reduce the price by 30%. Sales tax of 5% will be added to the final purchase price. What is Jake’s total cost for the sweater? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $22.05)

Answers

Reducing

30-30*0.3=

21

21+21*0.05=22.05

The table shows the purchases of two customers at a concession stand at the basketball game. Hamburgers Drinks Total Cost Customer 1 2 $13.00 Customer 2 3 7 $21.00 You want to buy 8 drinks and 9 hamburgers for you and your friends. How much do you expect to pay?​

Answers

[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

Customer 1 bought 2 hamburgers and 4 drinks at a cost of $13.00Customer 2 bought 3 hamburgers and 7 drinks at a cost of $21.00

[tex]\bold{\underline{ To \: Find :- }}[/tex]

We have to find the total cost of 8 drinks and 9 hamburgers

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the cost of hamburgers and drinks be x and y

According to the question,

[tex]\sf{ 2x + 4y = 13.00 ...eq( 1 ) }[/tex]

[tex]\sf{ 3x + 7y = 21.00 ...eq(2) }[/tex]

Solving eq( 1 ) we get :-

[tex]\sf{ 2x + 4y = 13 }[/tex]

[tex]\sf{ 2x = 13 - 4y }[/tex]

[tex]\sf{ x = (13 - 4y)/2 ...eq(3)}[/tex]

Subsituting eq(3) in eq( 2 ) :-

[tex]\sf{ 3( 13 - 4y)/2 + 7y = 21 }[/tex]

[tex]\sf{ 39 - 12y/2 + 7y = 21 }[/tex]

[tex]\sf{ 39 - 12y + 14y = 42}[/tex]

[tex]\sf{ 2y = 42 - 39 }[/tex]

[tex]\sf{ 2y = 3 }[/tex]

[tex]\sf{ y = 3/2 }[/tex]

Subsituting value of y in eq(3) :-

[tex]\sf{ x = 13 - 4(3/2)/2}[/tex]

[tex]\sf{ x = 13 - 2(3)/2}[/tex]

[tex]\sf{ x = 13 - 6/2}[/tex]

[tex]\sf{ x = 7/2 }[/tex]

Therefore,

[tex]\sf{ Cost\: of \:8 \:drinks}[/tex]

[tex]\sf{ = 8 * 3/2 }[/tex]

[tex]\sf{ = 4 * 3 }[/tex]

[tex]\sf{ = 12.00 dollars}[/tex]

And

[tex]\sf{ Cost\: of \:9 \:hamburgers }[/tex]

[tex]\sf{ = 9 * 7/2 }[/tex]

[tex]\sf{ = 63/2}[/tex]

[tex]\sf{ = 31.50 dollars}[/tex]

Total cost of the 8 drinks and 9 hamburgers

[tex]\sf{ 12.00 + 31.50}[/tex]

[tex]\sf{\red { = 43.50 \:dollars}}[/tex]

Hence, The total cost paid by you for 8 drinks and 9 hamburgers is $43.50 .

The first term of geometric series is -3, the common ratio is 6, and the sum of the series is -4,665. using a table of values, how many terms are in this geometric series

Answers

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\stackrel{\textit{first term}}{-3}\\ r=\stackrel{\textit{common ratio}}{6} \end{cases}[/tex]

[tex]\stackrel{S_n}{-4665}~~ = ~~-3\left( \cfrac{1-6^n}{1-6} \right)\implies -4665=-3\left( \cfrac{1-6^n}{-5} \right) \\\\\\ -4665=\cfrac{3}{5}(1-6^n)\implies -4665\cdot \cfrac{5}{3}=1-6^n\implies -7775=1-6^n \\\\\\ -7776=-6^n\implies 7776=6^n\implies 6^5=6^n\implies \boxed{5=n}[/tex]

Answer:

  5 terms

Step-by-step explanation:

The attached table shows that the sum of 5 terms is -4665.

__

Additional comment

A table for a problem like this is easily made using a spreadsheet. Each value is 6 times the previous, and each sum is the new value added to the previous sum. The first value and the first sum are -3.

In the attached, we have simply summed the terms, each term being computed using the explicit formula for this geometric sequence.

cot 75= 2 - square root 3​

Answers

Answer:

The value of cot 75° is 2 - √3 or 0.2679(approx).

Step-by-step explanation:

I hope it helps!
Muffin<3

Angie packed same-size cubes into a rectangular prism.


Image shows a base of cubes 3 units long, 2 units wide, and with a column of cubes 1 cube wide and 7 cubes tall. PLEASE HELP ME


What is the number of cubes needed to fill this prism?


A.

20 cubes


B.

35 cubes


C.

36 cubes


D.

42 cubes




WILLL GIVE THE BRAINLIEST PLEASE HELP ME IN A RUSH

Answers

Answer:

the answer is 42 can i have brainliest please:)

Step-by-step explanation:

3x7x2=42

Answer:

42

Step-by-step explanation:

Joe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.98 and costs an
additional $0.17 per mile driven. The second plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven. How
many miles would Joe need to drive for the two plans to cost the same?

Answers

Answer:

200

Step-by-step explanation:

This problem is about linear equations. We assume Joe drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=51.98+0.17X

Plan II: Y=59.98+0.13X

When both plans cost the same, 51.98+0.17X=59.98+0.13X. We will get X = 200

The _____ is a point estimate of the population mean for the variable of interest. a. sample mean b. geometric mean c. median d. sample

Answers

There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.

What is a point estimate of the population mean?

A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.

The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.

Learn more about sample mean from

https://brainly.com/question/7597734

which choice shows angles that are complementary and adjacent?

Answers

Answer:

1st one is adjacent

2nd one is complementary

3rd one is adjacent

4th one is complementary

Ok I need help please?

Answers

Answer:

Step-by-step explanation:

1. 4/1

2. 5/1

3. 1/8

4. 2/3

5. 3/4

6. 4/12 = 1/3, 8/12 = 2/3

7. 2/5, 3/5

help me please i don't uderstand

Answers

Answer:

(a) d = 2.1     (b) a = 8.7

Step-by-step explanation:

[tex]d^{2}+d^{2} = 3^{2}[/tex]

[tex]2d^{2} = 9\\d = \sqrt[2]{9/2} = 2.1[/tex]

The hypotenuse = 5*2 = 10

[tex]5^{2} + a^{2} = 10^{2}\\a^{2} = 100 - 25 = 75\\a = \sqrt{75} = 8.7[/tex]

Special right triangle 30-60-90 degrees lesson 3 homework

Answers

Not the best answers. Not every answer is in radical form. They are correct though.
Attached is a picture of the answers.

If r = 12.5 and s = |−13|, which of the following inequalities is not true?

r ≠ s
r < s
r ≥ s
r ≤ s

Answers

Answer:

C is not true

Step-by-step explanation:

r is not larger than or equal to s

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