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?
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]
what is the sum of 4 and the product of 9 and 5
Answer:
49
Step-by-step explanation:
sum of 4 and the product of 9 and 5
= 4 + ( 9 x 5 )
= 4 + 45
= 49
Multiply. 8.3 x 6.4 Enter your answer in the box.
Answer:
53.12
Step to Step reasoning:
8.3 x 6.4 = 53.12
Gavin has a board that is ten feet long. Gavin is using the board to saw off pieces of wood needed for a building project. First Gavin saws off 2/10 of the board. Next Gavin saws off 5/10 of the board. Last Gavin saws off 1/10 of the board Gavin says he has 2/10 the board left to use for another building project is Gavin correct?
Answer:
Yes he is corrct
Step-by-step explanation:
Answer:
Yes. 10-(2+5+1)=2
Step-by-step explanation:
B
What does a single point on the plot represent?
Thirteen less than eight times a number is - 18.
Choose the correct answer below.
A. 8x + 13 = - 18
B. 8(x - 13) = -18
C. 13x - 8 = - 18
D. 13x + 8 = - 18
E. 8x - 13 = - 18
Answer:
C
Step-by-step explanation:
13-8x =-18 with x being a random number apart from zero
how do you find the area of a circle?
Answer:
The formula to find the area of a circle is pi times the radius squared (A = π r²).
Step-by-step explanation:
35% of best buy customers buy a computer, 25% buy a warranty, and 5% buy a computer and a warranty. Find the probability that a Best Buy customer buys a computer given that the customer bought a warranty
Answer:
.2
Step-by-step explanation:
(.35((.05)).25)
.05/.25 = .2
which of the following is a true statement?
3/12>3/8
3/8<7/16
3/8<8/24
5/16>3/8
Answer:
3/8 is less than 7/16. 3/8 is equal to 6/16.
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominato 36 hr : 40hr
Answer:
Hello there! :) Well the fraction would be 36/40 but in simplest form it would be 9/10.
Step-by-step explanation:
The way you simple it down would be by 4. 36 ÷ 4 = 9 and 40 ÷ 4 = 10. I hope this helps
Answer:
9/10
Step-by-step explanation:
You would first find the GCF. 36 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36. 40 factors: 1, 2, 4, 5, 8, 10, 20, 40. The GCF would be 4, so divide by 4 on both sides and you would have the ratio 9 hr.: 10 hr. If using part to whole it would be 9/10.
Hope this helps
No rush but what is the formula for finding the area of a polygon
Answer: To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.
Step-by-step explanation:
What is the area of the composite figure?
3 cm
7 cm
7 cm
o 54.25 cm2
o 49 cm?
70 cm
o 59.5 cm?
Answer: (D) 59.5
Step-by-step explanation:
Cos Milky said it. Trust Milky. Milky Smart.
44 and 45 are alternate interior
angles. Find the measure of 25.
{
11565°
43/44
44 = 115°
45 = [?]
45/46
47/48
274
Answer:
115°
Step-by-step explanation:
angles 4 and 5 are alternate angles which means they would be the same amount
Answer:
Solution given:
<5=115°[corresponding angle]
10(2x - 4) + 5 = 2x - 8
Step-by-step explanation:
10(2−4)+5=2−8
10(2x-4)+5=2x-810(2x−4)+5=2x−8
Solve
1
Distribute
10(2−4)+5=2−8
20−40+5=2−8
2
Add the numbers
3
Add
35
3535
to both sides of the equation
4
Simplify
5
Subtract
2
2x2x
from both sides of the equation
Suppose we want to choose 2 letter, without replacement, from the 3 lettersA, B, C.
How many ways can this be done, if the order of the choices is not relevant
Answer:
3
Step-by-step explanation:
We can choose three ways:AB, AC, BC, as the order is not important.
Or you can calculate 3C2=(3×2)/(1×2)=3
Answer:
only 3, A with B B with C and A with C, but if you can use the same 2 if reversed it would be 6, for it would be A with B, B with A, C with B, B with C, A with C, and C with A.
Step-by-step explanation:
Brianliest? :/
Hope I Helped.
Have a nice day.
21n over 9n in lowest terms
Answer:
21n/9n
= 7n/3n
21n/9n in the lowest terms is 7n/3n
All changes saved
3. Find the length of the segment indicated. Round to
the nearest tenth if necessary.
5
3
5
X
Answer:
5
Step-by-step explanation:
It’s a radius, so it’s 5.
The length of x in the circle shown will be 5 units.
What is a circle?A circle is a geometric shape that is created by drawing a point in an orbit around a fixed point while maintaining a fixed distance.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given the circle with a radius of 5 units.
A radius is a line that goes from the center and touches the periphery of the circle.
Since the x line also goes from the center and touches to the periphery hence, x should be a radius.
Since the radius of a circle is always the same so
x = radius = 5
To learn more about the circle,
https://brainly.com/question/266951
#SPJ5
Mark was watching a movie that was 124 minutes long. He fell asleep 75% of the way through. How many minutes of the movie did Mark actually watch?
Answer:
93 minutes
Step-by-step explanation:
Since 75 percent is just .75, multiply 124 by .75 to find out how much was watched. 124 * .75 = 93
Hopefully this helps- let me know if you have any questions
Help this is for my sister
Answer:
i have to go with B...?
Step-by-step explanation:
i mean more than is greater than and its no sign of equal to so that's the only option
Sam sees this newspaper headline.
Gas prices to rise by a fifth
Sam pays £38 per month for gas.
He wants to know how much he will pay after the price rise.
How much will Sam pay?
Select one:
O a. £45.60
O b. £7.60
O c. £43
O d. £30.40
Answer: B for sure
Step-by-step explanation:
Judy bought a hat for $44.67 and sunglasses for $110.76 with her credit card. Judy has $89.35 in her checking account. How much money does she need to put in her checking account so she can pay her credit card at the end of the month?
Answer:
$66.08
Step-by-step explanation:
Judy bought two things, a hat and sunglasses. So, the total money spent is:
$44.67 + $110.76 = $155.43
She has $89.35 in her checking account and spent $155.43 on the two items.
So that means she spent more than she has in the account. To find how much she needs to put in her checking account, we're going to subtract how much money she spent and how much she has in her account.
$89.35 - $155.43 = -$66.08
Therefore, she needs to put in $66.08 into her account to pay off her debt at the end of the month.
if you borrow $1,200 for 3 years at an annual interest rate of 4% how much will you pay altogether
Answer:
$1,344.00
Step-by-step explanation:
A=P(1+rt)
A=1,200(1+(0.04)(0.03))
Please give me the correct answers
Answer:
x = 25°
y = 25°
Step-by-step explanation:
✔️(x + 35)° + 30° + 90° = 180° (sum of triangle)
x + 35 + 30 + 90 = 180
Add like terms
x + 155 = 180
x + 155 - 155 = 180 - 155
x = 25°
✔️(y + 30)° + 35° + 90° = 180° (sum of triangles)
y + 155 = 180
y = 180 - 155
y = 25°
If the opposite of g(x) is –g(x),
then –g(x) =
Answer:
g(x) not negitive
Step-by-step explanation:
Pls help i will put brainlyist if you don’t answer correctly i will report
Answer:
23.04
Step-by-step explanation:
length×width
4.8×4.8
correct me if im wrong:)
helpppppppppppppppppppppppppppppppp
Answer:
es b la segunda B aaaaaaaaaa
On the Fahrenheit scale, at what temperature does water boil?
A.451°F
b. 264°F
C.212°E
d. 100°F
Which two numbers are exactly 10 units away from 5?
Answer:
-5 and 15
Step-by-step explanation:
10±5 = -5, 15
HELP what's the distance for this question?
Answer:
[tex]Distance = 38.57ft[/tex]
Step-by-step explanation:
Given
[tex]Base = 60[/tex]
[tex]\theta = 50[/tex]
Required
The distance between the top and John
The distance is calculated using:
[tex]sin\alpha = \frac{Distance}{Base}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 50[/tex]
[tex]\alpha = 40[/tex]
So, we have:
[tex]Sin(40) = \frac{Distance}{60}[/tex]
[tex]Distance = 60 * sin(40)[/tex]
[tex]Distance = 60 * 0.6428[/tex]
[tex]Distance = 38.57ft[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
Please help :) this is due today
Answer:
Pretty sure it's 2/3.
