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Talja [164]
1 year ago
13

Elton just bought a new flash drive for his computer. He read in the literature that 7 flash drives can hold 1792 megabytes of d

ata. Write and solve a proportion to find the number of megabytes of data that 5 flash drives can hold.
Mathematics
1 answer:
Rufina [12.5K]1 year ago
5 0

Answer:

1280 megabytes

Step-by-step explanation:

Take 1792 and divide that by 7 to get how many megabytes are in 1 flash drive. Then multiply the answer by 5 to get the number of megabytes that are in 5 flash drives.

You might be interested in
In the figure below, mROP = 125°.
Hunter-Best [27]

Step-by-step explanation:

step 1. mPOS = 180 - 125 = 55° (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 55° (supplementary angles).

5 0
1 year ago
Stephanie has $45,000. Part or all of which she wants to invest into a combination of municipal bonds and corporate bonds. She w
Westkost [7]

Answer:

Step-by-step explanation:

Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds.

If Stephanie has $45,000 and she wants to invest part or all into a combination of municipal bonds and corporate bonds, the inequality for this statement would be

x + y ≤ 45000

She wants to invest no less than $20,000 into municipal bonds. It means that

x ≥ 20000

Also, she wants to invest at least four times as much into municipal bonds than into corporate bonds. This means that

x ≥ 4y

x/4 ≥ y

y ≤ x/4

The inequalities are

x + y ≤ 45000

x ≥ 20000

y ≤ x/4

8 0
2 years ago
erica is making necklaces and bracelets to se at the craft show. it takes her 3 hours to make a necklace and 2 hours to make a b
bagirrra123 [75]

Answer:

Erica should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

Step-by-step explanation:

Let the number of necklaces made =  x

Let the number of bracelets made by Erica  = y

Now, the time taken to make each necklace = 3 hrs

⇒The time taken to make x necklaces = x  times 3 hours  = 3x

Also, the time taken to make each bracelet = 2 hrs

⇒The time taken to make y necklaces = y  times 2 hours  = 2y

So, total time taken to make x necklace and y bracelets =  3x + 2y

Now selling cost of 1 necklace = $18

Also, selling cost of 1 bracelet = $15

So, total selling price of x necklace and y bracelets =  18 x + 15 y

So according to the question:

x + y =  25 ..... (1)

3x + 2y = 60  ....  (2)

Solving the above system  substitute y =  25- x in (1)

we get: 3x + 2y = 60 ⇒  3x + 2(25 -x) = 60

or, x = 10

⇒ y = 25 - x  =  25 - 10 = 15, or y = 15

So, she should make at least 10 necklaces and 15 bracelets to maximize her profit of P  =  (18 x + 15 y)

8 0
2 years ago
Read 2 more answers
Nswer two questions about Systems A AA and B BB: System A AA start text, end text System B BB { − 3 x + 12 y = 15 7 x − 10 y = −
rjkz [21]

Answer:

(Choice C) C Replace one equation with a multiple of itself

Step-by-step explanation:

Since system A has the equations

-3x + 12y = 15 and 7x - 10y = -2 and,

system B has the equations

-x + 4y = 5 and 7x - 10 y = -2.

To get system B from system A, we notice that equation -x + 4y = 5 is a multiple of -3x + 12y = 15 ⇒ 3(-x + 4y = 5) = (-3x + 12y = 15).

So, (-x + 4y = 5) = (1/3) × (-3x + 12y = 15)

So, we replace the first equation in system B by 1/3 the first equation in system A to obtain the first equation in system B.

So, choice C is the answer.

We replace one equation with a multiple of itself.

7 0
1 year ago
The area of a small pond is 78.5 yds. What is the diameter of the pond?
Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ \pi\ r^2

where r represents radius of the pond.

Thus, we have:

⇒ \pi\ r^2=78.5

Using \pi=3.14

⇒ 3.14r^2=78.5

Solving for r

Dividing both sides by 3.14

⇒ \frac{3.14r^2}{3.14}=\frac{78.5}{3.14}

⇒ r^2=25

Taking square root both sides.

⇒ \sqrt{r^2}=\sqrt{25}

⇒ r=\pm5

So, radius = 5 yd, as distances are always positive.

Diameter = 2\times radius=2\times 5\ yd= 10\ yd

Thus, diameter of pound = 10 yd

7 0
2 years ago
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