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mixas84 [53]
3 years ago
15

A flag is 2 feet by 3 feet. I want to enlarge the flag so that the longest side is 15 feet. How long should the shorter side of

new flag be to be proportional to the smaller flag?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

10 feet

Step-by-step explanation:

Given

Dimension = 2 feet by 3 feet

Required

Determine the length of the short side if the longer side is scaled to 15 feet

Represent the before and after enlargement as a ratio:

Before Enlargement

Ratio = 2 ft : 3ft

After Enlargement

Ratio = x : 15 ft

Where x represents the length of the shorter side

Since they're both proportional, their ratio must be equal.

So, we have:

2 : 3 = x : 15

Convert ratio to fraction

⅔ = x/15

Multiply both sides by 15

15 * ⅔ = 15 * x/15

15 * ⅔ = x

30/3 = x

10 = x

x = 10

Hence, the length of the shorter side must be 10 feet

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galina1969 [7]
To find the total increase, we will subtract -14 from 36.
36--14=50
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50 is your final answer.
3 0
3 years ago
A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

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5 0
3 years ago
What is the slope of-x²+8x+20​
PIT_PIT [208]
Is that the right equation?
5 0
3 years ago
A)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
Rashid [163]

Answer:

750 profit

Step-by-step explanation:

Given :

Profit of 10 on white cement

Loss of 5 on Grey cement

Number of white cement sold = 325 bags

Number of Grey cement sold = 500 bags

Total profit made on sale of white cement :

10 * 325 = 3250

Loss made on sale of Grey cement :

5 * 500 = 2500

Total profit or loss :

3250 - 2500

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Profit value is greater than. Loss value (hence, total profit of 750 was made).

6 0
3 years ago
Hiiii
bezimeni [28]

Answer:

5 and -5 (±5)

Step-by-step explanation:

x²-8=17

x²=25

√x²=√25

x=±5

3 0
3 years ago
Read 2 more answers
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