The Enormous State University's Business School is buying computers. The school has two models to choose from, the Pomegranate and the iZac. Each Pomegranate comes with 400 GB of memory and 80 TB of disk space, while each iZac has 300 GB of memory and 100 TB of disk space. For reasons related to its accreditation, the school would like to be able to say that it has a total of at least 52,500 GB of memory and at least 12,700 TB of disk space. If both the Pomegranate and the iZac cost $2,200 each, how many of each should the school buy to keep the cost as low as possible?

Answers

Answer 1

Answer:

90 Pomegranate and 55 iZac

Step-by-step explanation:

Represent Pomegranate with p and iZac with i

The data can be represented in the following table.

[tex]\begin{array}{cccc}{} & {Pomegranate} & {iZac} & {Total} & {Memory} & {400} & {300} & {52500} & {Disk\ Space} & {80} & {100} & {12700} \ \end{array}[/tex]

The table can be represented as follows:

[tex]400p + 300i = 52500[/tex] --- (1)

[tex]80p + 100i = 12700[/tex] ---- (2)

Multiply equation (2) by 3

[tex]3 *\ ([/tex][tex]80p + 100i = 12700[/tex][tex])[/tex]

[tex]240p + 300i = 38100[/tex] ---- (3)

Subtract (3) from (1)

[tex]400p - 240p + 300i - 300i = 52500 - 38100[/tex]

[tex]160p = 14400[/tex]

Divide both sides by 160

[tex]p = 90[/tex]

Substitute [tex]p = 90[/tex] in (2)

[tex]80p + 100i = 12700[/tex]

[tex]80 * 90 + 100i = 12700[/tex]

[tex]7200 + 100i = 12700[/tex]

Collect like terms

[tex]100i = 12700 - 7200[/tex]

[tex]100i = 5500[/tex]

Divide by 100

[tex]i = 55[/tex]

So;

[tex]p = 90[/tex] and [tex]i = 55[/tex]


Related Questions

Below is the graph of y=f(x).
Graph y=-f(x)

Answers

Answer:

Did you attached an image? I can't see it

Step-by-step explanation:

Points can be transformed to another set of points through reflections, rotation, translation, dilations etc. The graph of [tex]y = -f(x)[/tex] is added as an attachment.

Given that:

[tex]y = f(x)[/tex]

The graph of [tex]y = -f(x)[/tex] means that, f(x) is reflected across the x-axis to get -f(x) i.e. we negate the y-values of f(x)

From the attached graph of f(x), we have the following coordinate points:

[tex](-7,0), (-5,2), (-3,0), (0,-3)[/tex]

The corresponding points on -f(x) is:

[tex](-7,0), (-5,-2), (-3,0), (0,3)[/tex]

See attachment for the graph of [tex]y = -f(x)[/tex]

Read more about graphs and equations from:

https://brainly.com/question/17995541

My friend didn’t do this and he got another question ASAP

Answers

Answer: B.) I and II

Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(:

6 am
10 cm
Find the lateral surface area of the cylinder Round your answer to the nearest hundredth.
A)
354.18 cm?
B)
362.16 cm
C)
367.59 cm
D)
376,99 cm

Answers

Answer:

[tex]A=376.99\ cm^2[/tex]

Step-by-step explanation:

We need to find the lateral surface area of the cylinder of radius 6 cm and height of 10 cm.

We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by :

[tex]A=2\pi rh\\\\A=2\pi \times 6\times 10\\A=376.99\ cm^2[/tex]

So, the lateral surface area of the cylinder is [tex]376.99\ cm^2[/tex].

Can someone help me with the answers to these questions and possibly explain? I’d really appreciate it!

Answers

Answer:

1.010) 60

Step-by-step explanation:

Since the opposing side measures 60 degrees, angle m<3 has to also be 60 (the fornonia law of geometry).

Find the errors and correct the following mathematical sentences.​

Answers

Answer:

3(x-9) = 3x-3(9) = 3x-27

2x+3x = 5x

4p+3p+2p+p-9p = 7p+2p+p-9p = 10p-9p = p

Let me know if this helps!

Answer:

Here. These are the corrections

Triangle Inequalities please help ☹️☹️

Answers

Answer:

Step-by-step explanation:

A person's hair length varies
proportionately with the number of weeks
it has been growing. If Fred shaved his
head bald and his hair was 0.24 inches
long after 8 weeks, how long would it be
after an additional 8 weeks? Round to the
nearest hundredth of an inch.

Answers

8 weeks=0.24 inches
8 weeks x 2 = 16 weeks
0.24 x 2 = 0.48 inches

A football team has 40 players. One of the players is a kicker. The coach randomly selects a player to perform a conditioning exercise. What is the probability that the player selected is the kicker? Write your answer as a fraction.

Answers

1/40 us the answer to your question

Answer:

1/40

Step-by-step explanation:

8 and 5 are factors of what number?​

Answers

Answer:

40

Step-by-step explanation:

8 and 5 are factors of 40. (8 x 5 = 40)

Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. Select one control in Jenae's experimental study.
A. Jenae monitors the habits of the co-workers who do not drink coffee.
B. Jenae places condiments at random places throughout the kitchen.
C. Jenae takes note of the frequency in which co-workers refill their coffee mugs.
D. Jenae keeps the same amount of sugar and artificial sweetener at each location.

Answers

Answer:

D. Jenae keeps the same amount of sugar and artificial sweetener at each location.

Step-by-step explanation:

Experimental studies are those studies that are based upon the experiments in this the group could be controlled and testable also so according to the given situation, the option D is correct as Jenae have the similar maount of sugar and sweetener at each and every location

Therefore the last option is correct

Answer:

Jenae keeps the same amount of sugar and artificial sweetener at each location.

Step-by-step explanation:

Find the errors and correct the following mathematical sentences.​

Answers

Answer:

Step-by-step explanation:

18). 3x + 2 ÷ 3x = [tex]\frac{2}{3x}[/tex]

     Since, 3x + 2 ÷ 3x = 3x + [tex]\frac{2}{3x}[/tex]

      Therefore, right hand side of the equation will be = 3x + [tex]\frac{2}{3x}[/tex]

20). [tex]\frac{4x+3}{3}=x+1[/tex]

       Since, [tex]\frac{4x+3}{3}=\frac{4x}{3}+\frac{3}{3}[/tex]

                            = [tex]\frac{4}{3}x+1[/tex]

Therefore, right hand side of the equation should be [tex]\frac{4}{3}x+1[/tex].

Can you help me please it has to be harry potter and the philosopher's stone movie

Answers

Answer:

False

I hope this helps!

PLEASE HELP
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. She plans to
create a two-way table to analyze her results. Which describes the variables she can use in the first row and first
column to create her table?

A.painting preference and total number of students
B.painting preference and number of students in class 1
C.class number and painting preference
D.class number and number who prefer oil

Answers

Answer:

D. class number and number who prefer oil

A boat starts at a point A. It travels a distance of 7 km on a bearing of 135° to point B. From B it
travels 12 km on a bearing of 250° to point C. Using a scale of 1 cm:1 km, draw a diagram to show
these bearings and journeys.

Answers

Answer:

c.using scale of 1 cm:1km draw a diagram

PLEASE HELP MEEEEEEEEEE

Answers

Answer:

15

Step-by-step explanation:

here's your solution

=> Both the traingle are similar hence ,

=> it's corresponding sides are in equal ratio

=> so,8/20 = 6/y

=> 8y = 20*6

=> y= 20*6/8

=> y = 15

hope it helps

What the value of x help me

Answers

Answer:

X=10

Step-by-step explanation:

20/2=10

Answer:

X =10

Step-by-step explanation:

20/2=10

Midpoint theorum

There are 16 cans of soda. One eighth are Coke. How many Cokes

Answers

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

Pls answer correctly I’ll give you brainliest

Answers

Answer:

y=-3/4x-5

Step-by-step explanation:

m=y2-y1/x2-x1

m=1-(-5)/-8-0

m=1+5/-8

m=6/-8

m=-3/4

y-y1=m(x-x1)

y-(-5)=-3/4(x-0)

y+5=-3/4x

y=-3/4x-5

 easy 5th grade math please look at photo and answer.Giving brainliest!!

Answers

Answer:

the answer to this is D

Step-by-step explanation:

Have a great day

Answer:

d.

Step-by-step explanation:

a., b., and c. are true.

A square has two sets of parallel opposite sides, so d. is false.

Answer: d.

Select‌ ‌the‌ ‌correct‌ ‌answer.‌ ‌ Find‌ ‌the‌ ‌product.‌ ‌ 3(x+4)(x-5)‌ ‌ A.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌11‌x‌‌ ‌−‌ ‌20‌ ‌ B.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌20‌x‌ ‌ C.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌3‌x‌‌ ‌−‌ ‌60‌ ‌ D.‌ ‌ ‌ 3‌x‌2‌‌ ‌−‌ ‌‌x‌‌ ‌−‌ ‌20‌ ‌

Answers

The answer would be A. I believe

Please help

look at picture

Any answers not related to the question above will be reported

Answers

Answer:

704 square yards

Step-by-step explanation:

10 * 19 = 190

190 * 2 = 380

12 * 19 = 228

12 / 2 = 6

6 * 8 = 48

48 * 2 = 96

96 + 228 + 380 = 704

Hope this helped! Have a nice day, and plz mark as brainliest if correct!!!

-Lil G

Answer:

666 yards

Step-by-step explanation:

Find the area of each side of the triangular prism and add them up. There is also a SA formula for different 3D shapes.

SA of triangles: 48 yd. Since this same triangle is opposite to it, the SA of both combined would be 96 yd.

SA of rectangles: 190 yd. There are three of these rectangles, so the total SA of all three of them combined would be 570 yd.

570 yd + 96 yd = 666 yd

Hope that helps!

CALCULUS: The general solution of the differential equation x dx - y dy = 0 is a family of curves. These curves are all
A. Hyperbolas
B. Circles
C. Parabolas
D. Ellipses

-I am thinking A, but I would like someone to please double check me. Please no wrong/fake answers. Thanks in advance & have a good one!

Answers

Answer:

A. Hyperbolas

Step-by-step explanation:

This equation is separable; you have

x dx - y dy = 0

x dx = y dy

Integrate both sides to get

1/2 x ² + C = 1/2 y ²

x ² + C = y ²

or

x ² - y ² = C

and this is indeed the equation of a hyperbola.

You inherit $25,000 and deposit it into an account that earns 4.5% compounded continuously. How much money would be in the account after 10 years?

Answers

Answer:

sf

Step-by-step explanation:

0+4=?
Help will be needed here

Answers

Answer:

40

you add a 0 to the four and boom

If you are really asking, then the answer is still 4

Answer:

4 is the correct answer

hope it is helpful to you

A straight angle is split into two smaller angels as shown. The smaller angle’s measure is 1/6 that of a straight angle. What is the value of angle a?

Answers

Answer:

e

Step-by-step explanation:

Assuming that angle a is the smaller angle, angle A measures 30 degrees

Hope it helps!!  :)

5 divide 1/6 in simplest form

Answers

Answer:

30

Step-by-step explanation:

Attached belw ::

I hope im right!!

The answer is 30





Explanation



I did that and got it correct

Javier bought 3 bags of balloons for a party.
He used 8 balloons from each bag.
Determine how many balloons were
originally in each bag if there were 21
balloons left over.​

Answers

Answer:

15 Hope this helps :)

Step-by-step explanation:

each bag has 15 balloons

21 balloon left divide that

by 3 bag cause that is the number of bags you have

So that leaves ya with 7 balloons in each bag

you already took out 8 balloons from each bag

SO ADD 8+7 .... and you get 15

The number of balls that were initially in the bag is 15

Javler bought 3 bags of balloons

He used 8 balloons from each bag

There were 21 balloons left over in the bag

= 21/3

= 7

= 7 + 8

= 15 ballons

Hence there are 15 balloons originally in  the bag

Please see the link below for more information

https://brainly.com/question/23073092?referrer=searchResults

please help me i really need help please

Answers

What do you need help with? I don’t see any questions that I can really answer?

help me please, please

Answers

-243 x -128
——————-
-27 x -32

31104/864
=36

WILL IVE BRAINLEIST FOR FIRST AWNSER For Emma's birthday party, her dad bought a piñata to fill with small toys. The table shows the relationship between the weight of toys he adds, w, and the total weight of the piñata, p.
Weight of toys added, in pounds (w) 1 2 3 4
Total weight of piñata, in pounds (p) 4 5 6 7
Which of the variables is independent and which is dependent?
Complete the sentence.
The dependent variable is always
the independent variable.

Answers

The dependent is the one your mesuaring and that is the Total Weight. Independent is the one you change (I remember it as the is a I in independent which 'I' change) and that would be the toy weight

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