2. A high school wants to double the size of its parking lot by expanding the existing lot as
shown below. By what distance should the lot be expanded?
x ft
kin
75ft
old parking lot
165ft
school
300 Ft
75 ft xft
Answers
The parking lot is located along the front and one side of the school
building.
The distance x with which the lot should be expanded is 60 feet.Reasons:
The given dimensions in the compound are;
Length of the school and the old parking lot = 300 + 75
Width of the school and the old parking lot = 165 + 75
Length of the school, the old and new parking lot = 300 + 75 + x
Width of the school and the old and new parking lot = 165 + 75 + x
Area of the new parking lot the school wants = Double the old parking lot
In terms of areas, we have;
New compound - School = 2 × (old compound - school)
Which gives;
(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)
2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500
Simplifying gives;
81,000 = x² + 615·x + 40,500
x² + 615·x + 40,500 - 81,000 = 0
x² + 615·x - 40,500 = 0
Factorizing with a graphing calculator gives;
(x - 60)·(x + 675) = 0
Therefore;
x = 60 or x = -675
Given that x is a natural number, we have, the correct value is; x = 60;
The distance with which the lot should be expanded, x = 60 feet.
Learn more about writing equations here:
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Answer:
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Step-by-step explanation:
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If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
Answers
Answer:
23 daysStep-by-step explanation:
Given,
No. of days taken by Jenny to read 7 books
= 8
So,
No. of days taken by her to read 1 book
[tex] = \frac{8}{7} [/tex]
Therefore,
No. of days taken by her to read 20 books
[tex] = \frac{8}{7} × 20 [/tex]
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[On approximating]= 23 days (approx. )
Hence,
Jenny will take 23 days to read 20 books (Ans)
If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?
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Explanation:-[tex]GIVEN,[/tex]
Number of books Jenny can read in 8 days = 7
[tex]NOW,[/tex]
Number of days taken by Jenny to read 1 book = [tex] \frac{8}{7} [/tex]
Number of days taken by her to read 20 books =
→ [tex]20 \times \frac{8}{7} [/tex]
→ [tex] \frac{160}{7} [/tex]
→ 22.85714 or 23 days
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Answer:
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Step-by-step explanation:
Answer:
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Answer:
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you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window
Answers
Answer:
16 minutes
Step-by-step explanation:
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So first lets find the area.
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m12=126°
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180=126+m11
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O O
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SUBMIT
Answers
Answer:
C. 7
Step-by-step explanation:
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I hope this helps!
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Answer:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
yes
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[tex]3x-7[/tex]
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Answers
Answer:
C
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
..........
(16+25)x47 , theree you go
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1. Andrew claims:
A spinner has 4 sections -
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The probability of getting the
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Is he correct? Explain your answer fully:
I
Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
Write a multiplication equation that corresponds to each division equation.
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
To turn a mixed number into an improper fraction, multiply the whole number with the denominator of the proper fraction. Add the numerator of the proper fraction to this product to obtain the numerator of the improper fraction.
Hoped this helped.
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1. a quarter of an hour
2. three-fourths of an hour
3. half an hour
4. more than an hour
Answers
Answer:
i think the answer is 45 mins sorry if im wrong