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Masja [62]
3 years ago
8

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

s.
Two students are told that the perimeter of this rectangle is at least 30 inches. The first student says, "The length of the long side must be at least 13 inches". The second student says, "The unknown number must be at least 10 inches". Which of the following statements is true?
a. The first student is correct.
b. Both students are correct.
c. Neither student is correct.
d. The second student is correct.
Mathematics
1 answer:
joja [24]3 years ago
8 0

Answer: The first student is correct

Step-by-step explanation:

If the length of rectangle is x-30=3-z then it must be true that 13 could be one of the answers

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Answer:

8

Step-by-step explanation:

b=8

c=2

(8)(2)-(2)^3 =  16-8  =8

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Monday: 10 apples and 5 bananas cost £4.20 Friday: 8 apples and 10 bananas cost £5.40 Find the cost of each - with an explanatio
motikmotik

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

<em>Subtract 5b from both sides</em>

10a=4.2-5b

<em>Subtract 4.2 from both sides</em>

10a-4.2= -5b

<em>Multiply both sides by -1</em>

-10a+4.2=5b

8a+10b=5.4

<em>Subtract 10b from both sides</em>

8a=5.4-10b

<em>Subtract 5.4 from both sides</em>

8a-5.4= -10b

<em>Multiply both sides by -1</em>

-8a+5.4= 10b

<em>Divide both sides by 2</em>

-4a+2.7=5b

<u>Combine equations:</u>

-4a+2.7= -10a+4.2

<em>Add 10a to both sides</em>

6a+2.7=4.2

<em>Subtract 2.7 from both sides</em>

6a=1.5

<em>Divide both sides by 6</em>

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

<em>Subtract 10a from both sides</em>

5b= -10a+4.2

<em>Subtract 4.2 from both sides</em>

5b-4.2= -10a

<em>Multiply both sides by -1</em>

-5b+4.2=10a

8a+10b=5.4

<em>Subtract 8a from both sides</em>

10b= -8a+5.4

<em>Subtract 5.4 from both sides</em>

10b-5.4= -8a

<em>Divide both sides by 4</em>

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

<em>Multiply both sides by -1</em>

-12.5b+6.75=10a

<u>Combine equations:</u>

-12.5b+6.75= -5b+4.2

<em>Add 12.5b to both sides</em>

6.75=7.5b+4.2

<em>Subtract 4.2 from both sides</em>

2.55=7.5b

7.5b=2.55

<em>Divide both sides by 7.5</em>

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34

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Answer:

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Or, you can use the correct equation, or just your knowledge of revolutions:

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