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Step2247 [10]
3 years ago
5

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6

3/4 inches, and Frame B has a length of 7 1/2 inches.
Without calculating, predict which frame has the shorter width. Explain your reasoning.


Find the width that you predicted to be shorter.
Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

B, 6 inches

Step-by-step explanation:

The formula for area is width * height. If the area is the same in both times, increasing height means you must be decreasing width. B has a taller height so must have a shorter width.

7 and 1/2 = 15/2

45 / (15 / 2) = 45 * 2 / 15 = 6 inches

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a rectangle has a length of 15 inches less than 5 times it’s width. If the area of the rectangle is 2750 square inches. what is
irakobra [83]

let L = length and let W = width.

Use the equations 2L + 2W = 2750

and L = 5W + 15

Then do the steps as follows -

1. Plug the equation for what L equals into the first equation

2(5W+15) + 2W = 2750

2. Then distribute the 2

10W + 30 + 2W = 2750

3. Then add like terms

12W + 30 = 2750

4. Then subtract 30 from both sides

12W = 2720

5. Divide by 12 on both sides

W = 226.67

6. Then plug that into the second equation

L = 5(226.67) + 15

L = 1148.35 should be the answer


4 0
3 years ago
Jason's current yearly income is $13,000...If Jason’s training will allow him to get a job making $34,000 a year, how long will
photoshop1234 [79]
Answer: It will take him 1.68 years to recover his initial investment.

First, find the amount of extra money that he will make.
34,000 - 13,000 = 21,000
He will be making an extra 21,000 per year.

Now, divide the cost of his training by the amount of his increase.
35200 / 21000 = 1.68

That gives you the amount of years it will take him to pay off his investment.
6 0
4 years ago
Determine the simple interest when:
ivann1987 [24]

Answer:

$75.65

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 890 × 0.0425 × 2 = 75.65

I = $ 75.65

The simple interest accumulated

on a principal of $ 890.00

at a rate of 4.25% per year

for 2 years is $ 75.65.

4 0
3 years ago
Only 10 minutes
Nady [450]

Answer:

If the triangle is reflected the new coordinate will be

R'(-3, 2), S'(-5, -2), T'(-6, 0)

6 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the point (-8,0) and is perpendicular to the line x+2y=14
AVprozaik [17]

Step-by-step explanation:

let eqn be y = mx + b.

Since perpendicular, m = - 1/(-0.5) = 2

sub (-8, 0):

0 = 2(8) + b

b = - 16

therefore equation is y = 2x - 16

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

5 0
3 years ago
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