The mat adds 3 inches to each side, so the length would be 3+20 = 23 inches. The width would become 3 + 9 = 12 inches.Area = Length x width:
23 x 12 = 276 square inches
The computation shows that the miles that it is from the post office to the library will be 3575 miles.
<h3>How to illustrate the information?</h3>
It was stated that each block is about
275 meters long and the post office is 13
blocks away from the library.
Therefore, the miles that it is from the post office to the library will be:
= 275 × 13
= 3575 miles.
Therefore, the computation shows that the miles that it is from the post office to the library will be 3575 miles.
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We have:
5(x + 7) = 85 |divide both sides by 5
x + 7 = 17 |subtract 7 from both sides
x = 10
Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a -
)²
= a² - 2 + 
= a² +
- 2
= 11 - 2
= 9
Thus
(a -
)² = 9 ( take the square root of both sides )
a -
= 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48
Both define y, so they are equivalent.
5x-9=2x+6
3x-9=6
3x=15
x=5
Then plug in x into any of the equations
y=2(5)+6
y=10+6
y=16
Final answer: (5,16)