A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?

Translate the problem into 2 equations.


Let the x be the number of $10 bills and y be the number of $20 bills.

Answers

Answer 1

Answer:

100 $10 bills and

50 $20 bills

Step-by-step explanation:

Given

[tex]x = \$10[/tex]

[tex]y = \$20[/tex]

[tex]Bills = 150[/tex]

[tex]Value = \$2000[/tex]

Required

Determine the number of $10 and $20 bills

[tex]Bills = 150[/tex].

This implies that:

[tex]x + y = 150[/tex]

[tex]Value = \$2000[/tex]

This implies that:

[tex]10x + 20y = 2000[/tex]

So, the equations are:

[tex]x + y = 150[/tex]

[tex]10x + 20y = 2000[/tex]

Make x the subject in the first equation

[tex]x = 150 -y[/tex]

Substitute 150 - y for x in the second

[tex]10(150 - y) + 20y= 2000[/tex]

[tex]1500 - 10y + 20y= 2000[/tex]

[tex]1500 + 10y = 2000[/tex]

[tex]10y = 2000-1500[/tex]

[tex]10y = 500[/tex]

[tex]y =50[/tex]

Recall that:

[tex]x = 150 -y[/tex]

[tex]x = 150 -50[/tex]

[tex]x = 100[/tex]


Related Questions

I used a tutor for this and the answer I was given is 17.5. Which is incorrect. I am trying to understand how to solve.​

Answers

So you need to decide if you are using cos,sin or tan

You use soh cah toa for this

You label the sides

Hypotenuse - which is the side opposite the right angle

Opposite- which is the side opposite the angle given

Adjacent - the left over side

In this case the opposite doesn’t have any values so we are going to cross it out

We are using CAH

Put this into your calculator : Cos(73)x6

Cos(73)x6 = 1.754230228

The answer is 1.8 to 1 decimal place

Answer:

A right angle is 90 degree

Step-by-step explanation:

73 -90 degrees is 17 degrees. A right angle, shown is at 90 degrees

To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.​

Answers

Answer:

its c

Step-by-step explanation:

i did the test

The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.

What is an expression?

In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.

In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.

The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.

The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.

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Write a polynomial in standard form with the zeros –4, 0, 1, and 4.

Answers

Answer:

uhhm

Step-by-step explanation:

....

The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x

Polynomial functions are functions that have a leading variable of 3 and above.

Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:

(x+4)), x-0, x-1 and x - 4

To get the polynomial function required, we will take the product of the factors as shown:

= x(x-1)(x+4)(x-4)

= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)

f(x)= x⁴-16x²-x³+16x

Rearranging

f(x) = x⁴- x³ - 16x²+16x

Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.

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Which pair of angles are Complementary Angles?

45 degrees and 95 degrees
or
38 degrees and 42 degrees
or
30 degrees and 51 degrees
or
63 degrees and 27 degrees

Answers

Answer:

63 degrees and 27 degrees

Step-by-step explanation:

Complementary angles are when two angles add to 90 degrees.

So, we can check if these pairs add up to 90 degrees.

45 + 95 = 140

38 + 42 = 80

30 + 51 = 81

63 + 27 = 90

The only pair of angles that are complementary is 63 degrees and 27 degrees.

help Jake is a bully. He likes to pick on little kids, but they don’t have a way to defend themselves. They complain to teachers about Jake and tells on him.

Answers

Answer:

cool

Step-by-step explanation:

Answer:

tells i think

Step-by-step explanation:

it would be tattling not telling..righttttt?????

Please help I’m really stuck on this

Answers

Answer:

120

Step-by-step explanation:

Above 44 years ----> 45 to 84.

44 - 64   range 70 are there

65 to 84 range 50 are there

Totally 70 + 50 = 120

 120 residents

A. Add the following integers.
11.7 + 9 =
12. - 9+ (- 10 ) =
13. (- 14 ) + 5 =
14.9+(-14) =
15.-5+ (-8)=​

Answers

Answer:

11. 16

12. -19

13. -9

14. -5

15. -13

Step-by-step explanation:

WIll GIVE BRAINLYEST TO WHOEVER ANSWERS BOTH QUESTIONS FIRST CORRECTLY

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Answer:

1. 8.4 in 2. 33.6  

Step-by-step explanation:

j < –0.65 The variable in the inequality is .

Answers

Answer:

NO SE PERO LOS AMO A TODOS CHIKISTRIKIS

Step-by-step explanation:

SORRY NO SPEAK ENGLISH

What is the length of side BC 2x+7, 4x-7 4x

Answers

Answer:

64.6x

Step-by-step explanation:

3) An air conditioner has a marked price of $350. It is placed on sale at 12% off. What are the
discount and the sale price?
Show work please !

Answers

Answer:

12/100 = x/350

4200 = 100x

4200/100 = 100x/100

42 = x

350 - 42 = 308

the sale price is $308

the discount is $42


Kathleen successfully solved the system of equations 4.2 + 3y = 15 and -- 5x – 2y = -24 by multiplying each equation by a constant and adding the two equations together to eliminate
the x-terms. She then solved for y and substituted the value of y back into one of the equations and solved for a. What could she have multiplied each equation by, and what was her final answer?

Answers

Answer:

72

Step-by-step explanation

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Answer:

Whats the math?

Step-by-step explanation:

sir/miss please add something to answer or this can be reported so remake this add something then we will answer

What is true about (0, 5)

Answers

Answer:

0/5 equals zero as anything divided by zero gives zero. However 5/0 is an undetermined form which gives infinity.

Step-by-step explanation:

Algebraic expression for each work phrase and then simplify The sum of four and x minus two

Answers

The sum of four equals x minus two

x -2 = 4

x= 2

help me pls i need help

Answers

Answer:

B

Step-by-step explanation:

:-)

Answer:

B

Step-by-step explanation:

This problem is to compare the value of the two numbers. Obviously, 0.21>0.012

To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained.
132 students ate breakfast.
183 students ate lunch.
273 students ate dinner.
69 students ate breakfast and lunch.
113 students ate breakfast and dinner.
95 students ate lunch and dinner.
55 students ate all three meals.
How many students ate
(a) At least one meal in the cafeteria?
students

(b) Exactly one meal in the cafeteria?
students

(c) Only dinner in the cafeteria?
students

(d) Exactly two meals in the cafeteria?
students

Answers

Answer:

920 Students

Step-by-step explanation:

Add all of the meals together

Please dont judge me if i get this wrong this is why i joined brainly i don´t know nothing

The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?

Answers

Answer:

6

Step-by-step explanation:

W=L-2

A=L*W

48=L(L-2)

48=L^2-2L

You factor and then you get L=8

W=8-2=6

Is the graph increasing, decreasing, or constant?
O A. Constant
O B. Increasing
C. Decreasing

Answers

Answer:

increasing according to me

Step-by-step explanation:

..

For what value of x do the expressions 2x +3 and 3x -6 have the same value?

Answers

Answer:

9

Step-by-step explanation:

2x+3=3x-6

3+6=3x-2x

9=x

Answer:

x=  9

Step-by-step explanation:

hello :

2x +3 = 3x -6

2x-3x=-6-3

-x= -9

so : x=  9

True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.

Answers

Answer:

I believe it's true

Step-by-step explanation:

I hope this helps

I need help please?!!!

Answers

I think it’s b y=2 sorry if it’s wrong

3

The teacher estimated that she would have 68 students this school year. She actually had 74.

What is the percent error?

A 2.08%

B

6%

8.11%

D 191.89%

Answers

Answer:

c

Step-by-step explanation:

What is the ratio of x to y?
5x = 6y

Answers

Answer:

6:5

Step-by-step explanation:

Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.

The ratio between x and y, when 5x = 6y, is 6:5.

Given is an equation 5x = 6y, we need to find the ratio between x and y,

To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.

Let's isolate x:

5x = 6y

Divide both sides of the equation by 5:

x = (6y) / 5

Now we have an expression for x in terms of y. The ratio of x to y can be represented as:

x/y = (6y) / (5y)

The y terms cancel out:

x/y = 6/5

Therefore, the ratio of x to y is 6:5.

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Answers

Answer:

16^2+32cd+16d^2

Step-by-step explanation:

(4c×4d)(4c+4d)

16c^2+32cd+16d^2 use the foil method

Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?

Answers

Answer:

158? I am not really sure because I am in fifth grade, but I think it may be correct.

Solve:

Three less than the product of eight thirds and nine.

Pls HELP ME

Answers

Answer:

21

Step-by-step explanation:

Product of eight thirds and nine:

8/3×9 = 24

Three less than the product of eight thirds and nine:

24 - 3 = 21

Diana spent $5 on lunch. She purchased a sandwich and a drink. The drink cost $2. The
equation s + 2 = 5 can be used to find the cost s of the sandwich. Which model shows the
equation?

Answers

s=3
subtract 2 from 5 and you get 3

Len has 3 strips of construction paper. Each strip is the same size and a different color-red, yellow, and pink. He tapes the strips together to make a rectangle. Then Len divides the rectangle into sixths so that each sixth is one color. What fraction other than 1/3 names the part of the rectangle that is red?

Answers

Answer:

2/6

Step-by-step explanation:

Each of the rectangle strips are taped together to form a rectangle. Therefore 1 of the third of the rectangle would be red, this means that 1/3 of the rectangle would be red color. The rectangle is then divide into sixths, this can be achieved by dividing each of the taped strip into 2.

Therefore 2 of the sixths rectangle would be red in color, Hence the fraction of the rectangle that would be red is given as 2/6

What is the area of the square?

Answers

Step-by-step explanation:

it has 4 sides, all of whick are equal. Answer is 4*4, 16.

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