Mathematics High School

A company has to buy computers and printers. Each computer costs $550 and each printer costs $390. If
the company spends $8160 and buys a total of 16 machines, how many of each did it buy?
a. Let Statements:
b. Write the system:

Answers

Answer 1

Answer:

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Answer 2

Answer:

The company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

Related Questions

is the following equation true or false 12 3/8=12+3/8

Answers

Answer:

Its true

Step-by-step explanation:

Answer:

Uh yes it is true

Step-by-step explanation

I honestly don't know if you are trolling me or really have a confusion

f(x) = -4x^2+ 10
Find f(-2)

Answers

Answer:

-6

Step-by-step explanation:

plug -2 into x

-6 should be the correct answer

there were 252 people at the concert . If 90% of the seats were filled, how many seats are in the auditorium?

Answers

Answer:

280 seats total

Step-by-step explanation:

90/100 = 252/x

To find x, cross multiply.

90x = 25,200

Divide both sides by 90 to get the variable alone.

x = 280 seats

whats the sum or difference? 2.7 + 0.3​

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer:

your in highschool and you cant do that?

i worry for you 3

Step-by-step explanation:

please help
(-35)÷(-5)=?​

Answers

Answer: 7

Step-by-step explanation:

negative / negative = positive

-35 / -5 = 7

Answer:

7

Step-by-step explanation:

Could someone help me out with this please?

Answers

Answer:y=-x=5

Step-by-step explanation:

33 is 90% of what number? Round to the tenths place.

Answers

Answer:

36.7

Step-by-step explanation:

Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!

Evaluate the expression 5a + 12b for a = 5 and b = 12
PLEASE PLEASE help!

Answers

Answer:

I think the answer is 169

What is the vertex of this parabola? y= 2x² + 4x +5

Answers

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

If triangle ABC has the following angle measurements, what is the set-up to solve for x?
∠A= 4x - 17


∠B= 3x + 8


∠C= x + 13


4x - 17 + 3x + 8 + x + 13 = 180

4x - 17 = 3x + 8 + x + 13

4x - 17 - 3x + 8 - x + 13 = 180

4x - 17 - 3x + 8 - x + 13 = 180

Answers

It would be 4x-17+3x+8+x+13=180, so the first answer

Answer:

A

Step-by-step explanation:

The answer is the first one. We've used that in previous questions.

B is wrong. It needs to be equal to something (180 in this case). B is also saying that the first angle is = to the sum of the other two. Not so.

C is wrong. the third angle's x term has to be plus.

D has the same problem.

Klein opened a savings account that paid 5% simple interest with 6,000 in principal. If Klem left that money untouched in the account for ten years,then how much interest with he have earned?

Answers

Answer:

I= $3,000

Step-by-step explanation:

Giving the following information:

Klein opened a savings account that paid 5% simple interest with 6,000 in principal.

Number of periods= 10 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

P= principal

r= interest rate

t= time

I= 6,000*0.05*10

I= $3,000

If a sprinkler waters 1 over 14 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?

1 over 7 hour
4 over 7 hour
4 hours
7 hours

Answers

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

kim spends 5.00 for a foot massage. if its costs 0.75 for each sessions how many sessions did kim get

Answers

Answer:

the answer is 6.7

Step-by-step explanation:

you have to divide 5.00 by 0.75 to get the answer

Answer:

C 7

Step-by-step explanation:

You divide 5.00 by 0.75 to get you answer of how many session

waht is 8/5 times 7/4 pleeaaaaseeee help LAST QUESTION PLZ

Answers

Answer:

below

Step-by-step explanation:

improper fraction: 14/5

as a decimal: 2.8

proper fraction: 2 4/5

what is the slope of a line parallel to slope 2 and Perpendicular to slope 2?

Answers

Answer:

it would be right next to the other line

Step-by-step explanation:

Parallel = same slope
It would still be slope 2

Perpendicular = opposite sign and reciprocal slope
It would be slope -1/2

What are some common color associations? Pick at least three colors, and list their corresponding associations.

Answers

Answer:

Red, Yellow, Blue

Step-by-step explanation:

They are the primary colors,

or you can use Violet, Green, And Orange

These are secondary colors

help! I’m stuck.. this is due at 7:00pm

Answers

Answer: -6

Step-by-step explanation:

since they are both negative, they both will add up to be -6

The answer is -6 I believe I hope this helps :)

Shawn wants to make the perimeter of the fence in his backyard 2.5 times the size it currently is. What scale factor should he use to dilate the dimensions of the fence? a. Scale factor of 2.5 b. Scale factor of 5 c. Scale factor of 6.25 d. Scale factor of 3

Answers

Answer:

a scale factor of 2.5

Step-by-step explanation:

if this was area, you would square. Therfore if it is only perimeter so you only have to multiply by the same number

What is the slope for this (-1,5) (2,-4)

Answers

Answer:

Slope = -[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

To find the slope, you have to calculate the rise over run between two points.

[tex]\frac{rise}{run}[/tex] = [tex]\frac{2-(-1)}{(-4)-5}[/tex]

     = [tex]\frac{3}{-9}[/tex]

     = -[tex]\frac{1}{3}[/tex]

Can u please help i put extra points please explain to!

Answers

Answer:

5 over 8

Step-by-step explanation:

convert the mixed numbers to improper fractions then divide them and simplify

equation: 7/2 ÷ 40/7 = 50/80 or simplify to 5/8

*the slash is supposed to be the line that separates the top and bottom number in the fraction*

Help emnenenememmeemmenenedudhshs

Answers

Es no sé lo dirbyo esq ir 34\ 57 y 36/89 es necesario ntp eh lo

help then you got them brains!

Answers

Answer:A. 5Hope this helps!!

Answer:

its a

Step-by-step explanation:

8 divided by 1.6 is 5 , have a good day <3

convert this binary numbers (100) into base 10​

Answers

Answer:

Step-by-step explanation:

4

help me plz and i will give bairnlest frfrf and 30 points

Answers

Answer:

5,469

Step-by-step explanation:

00:00 Which is the simplified form of
[tex] {6}^{ - 3} [/tex]
? Select the correct answer.​

Answers

Answer:

1/216

Step-by-step explanation:

Simplify the following:

6^(-3)

Hint: | In order to evaluate 6^3 express 6^3 as 6×6^2.

6^3 = 6×6^2:

1/(6×6^2)

Hint: | Evaluate 6^2.

6^2 = 36:

1/(6×36)

Hint: | Multiply 6 and 36 together.

6×36 = 216:

Answer: 1/216

Answer:

1/1296

Step-by-step explanation:

i cant seem to get this i feel so dumb

Answers

Answer:

You are not dumb, I might be though.

Step-by-step explanation:

Pls help! For finalWhich equation can be solved to find x, the measure of to in the diagram
below?
53
A

Answers

I believe it is D because it is adding x to it

Help plz. 4x^2-10x=84

Answers

Answer:

my brain just died sorry

Step-by-step explanation:

Answer:

x = 6

4x2−10x=84

Step 1: Subtract 84 from both sides.

4x2−10x−84=84−84

4x2−10x−84=0

Step 2: Factor left side of equation.

2(2x+7)(x−6)=0

Step 3: Set factors equal to 0.

2x+7=0 or x−6=0

x=

−7

2

or x=6

                                                                         

Please help as fast as possible thanks much appreciated in advance

Answers

Answer:

140

Step-by-step explanation:

x = 7  ; y = -2

7(2x - 3y) = 7(2*7 - 3*[-2])

               = 7(14 + 6)

              = 7 * 20

               = 140

Step-by-step explanation:

this is what I believe the answer is and the work for it

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:The ratio is 1:5

Step-by-step explanation:

Answer:

it is 1:5 because if you divide both sides by 4, you get 1:5

Step-by-step explanation:

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