1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ollegr [7]
3 years ago
9

A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5

000 each. The company needs 5 times as many tablets as laptops, and two times as many laptops as servers. Set this problem up as a system of three linear equations, and use trial and error to determine the approximate number of each type of machine should be purchased.
Mathematics
1 answer:
Kazeer [188]3 years ago
7 0

Answer:

The number of tablets  200

the number of laptops  40

and, the number of servers 20

Step-by-step explanation:

Let the number of tablets be 'x'

the number of laptops be 'y'

and, the number of servers be 'z'

According to the given question

Total budget = $280,000

Tablets cost = $500 each

laptops cost = $2000 each

servers cost = $5000 each

Thus,

500x + 2000y + 5000z = 280,000 ..............(1)

also,

x = 5y  ................(2)

and,

y = 2z  

or

z = \frac{\textup{y}}{\textup{2}}   ............(3)

substituting y from 2 and 3 in equation 1,  we get

(500 × 5y) + (2000 × y) + (5000 × \frac{\textup{y}}{\textup{2}} ) = 280,000

or

2500y + 2000y + 2500y = 280,000

or

7000y = 280,000

or

y = 40

substituting y in equation 2, we get

x = 5 × 40 = 200

substituting y in equation 3 we get

z = \frac{\textup{40}}{\textup{2}}

or

z = 20

hence,

the number of tablets  200

the number of laptops  40

and, the number of servers 20

You might be interested in
Combine to create an equivalent expression -n + (-4) - (-4n) +6
Sav [38]

Answer: The answer is 3n + 2

Step-by-step explanation: You will have to combine like terms:

=−n + −4 + 4n + 6

=(−n + 4n) + (−4 + 6)

=3n + 2

3 0
3 years ago
The value of a dvd player decreases by 60% each year. If you purchased this dvd player today for $180, how much would the player
Volgvan
The formula is
A=p (1-r)^t
A future value?
P present value 180
R rate of decreases 0.6
T time 2 years
A=180×(1−0.6)^(2)
A=180×(0.4)^(2)
A=28.8
3 0
2 years ago
Kevin drove 357 miles using 14 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?​
Inessa [10]

Answer:

Kevin could drive 408 miles using 16 miles of gas.

Step-by-step explanation:

357 (1/14) = 25.5

25.5 (16) = 408

7 0
3 years ago
If ΔLMN ≅ ΔOPR, m∠L = (x^2 - x)°, m∠P = 16°, m∠N = (4x+160)°. Find m∠R.
Marizza181 [45]

Answer:

mZR = (4x + 160)°

Step-by-step explanation:

cause, mZR = mZN

;-))

8 0
2 years ago
Your friend is 1.2 times taller than you. Your friend is 64.5 inches tall. How tall are you?
Andru [333]
You are X, if your friend is 1.2 times taller than you= 1.2X
That's why 64.5=1.2X
                   X=53.75
But you should write 53.8 inches tall. Because there is one number after point.
<span>As a result, you are 53.8 inches tall


</span>
6 0
3 years ago
Other questions:
  • A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.
    15·1 answer
  • WILL GIVE BRAINLIEST!!
    15·2 answers
  • Which equation below represents exponential decay?
    9·1 answer
  • WOULD U RATHER??<br><br><br> Please show your work<br><br> Which one would u choose?
    11·1 answer
  • I don't know :((((((((((((((
    10·1 answer
  • a pack of cinnamon scented pencils sells for $4.00. what is the sales tax rate if the total cost of the pencils is $4.32
    5·1 answer
  • Bana ran 18.6 miles of a marathon in 3 hours <br><br> unit rates
    13·1 answer
  • Pietro has $75. He used 3/5 of his money to buy a new pair of running shoes. How much did Pietro spend on his new shoes
    5·2 answers
  • Could someone help out with this math equation triangle I know how to give brainlest And points !
    12·1 answer
  • The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!