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:
https://brainly.com/question/20475360
https://brainly.com/question/7107994
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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250:10
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Step-by-step explanation:
ratio of y to x
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✓ 49
A. 8
O O
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Answers
Answer:
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Step-by-step explanation:
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I hope this helps!
Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I
Answers
Answer:
yes a 1/4 probability is 0.25
The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x
Which statement best interprets a value in the equation?
The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.
Answers
Answer:
D. The limiting value of the city population is 187,600 people.
Step-by-step explanation:
I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021
If ABC is right-angled at B , AB = 3 cm. , BC = 4 cm. , then the length of the median from B is
Answers
convert 3 3/4 into a improper fraction
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.
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]
[On Simplification][tex] = \frac{160}{7} [/tex]
[On dividing]= 22.85.....
[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?
Answer:-22.85714 or 23 days
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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3-x^2
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Answers
Answer:
No factors.
3 - x^2 is prime.
Step-by-step explanation:
Read aloude The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?
Answers
Answer:
50% 250x2=450
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
$225 x 2 = 450
this means the cell phones price was reduced by 50%
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Answers
Answer:
y=1/2x+4
Step-by-step explanation:
y-y1=m(x-x1)
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y=1/2x-2/2+5
y=1/2x-1+5
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Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
If you're satisfied with the answer, then please mark me as Brainliest. Thank you.
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1. a quarter of an hour
2. three-fourths of an hour
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Answers
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:
First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )
So first lets find the area.
We are told that the window is in a shape of a trapezoid.
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[tex]A=\frac{10+14}{2} 8[/tex]
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[tex]A=\frac{24}{2} 8[/tex]
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[tex]A=(12)(8)[/tex]
multiply 12 and 8 to get 96.
A = 96 square feet.
To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute
Total area of window = 96
Area that can be washed per minute = 6
Time it would take to wash the whole window = 96 / 6 = 16 minutes
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Answers
Answer:
C
Step-by-step explanation:
∠ ABC = 90° ( angle in a semicircle )
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cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
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AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )
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Answers
Answer:
The momentum for the truck and cargo is 150000 kg·km/h
Step-by-step explanation:
p = mv
p = (2000 kg + 1000 kg)(50 km/h)
p = (3000 kg)(50 km/h)
p = 150000 kg·km/h
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Answers
Answer:
69 degrees
Step-by-step explanation:
yeah
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Answers
Answer:
In short, Your Answer would be either 1 or 7
Step-by-step explanation:
|4x + 12| = 16
As it is in modulus function, it could be either +ve or -ve
4x+12 = 16 OR 4x - 12 = 16
4x = 16-12 OR 4x = 16 + 12
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10 divided by 5 =
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Answers
Answer:
1. 10/1×1/5
2.5/1×1/3
3.1/2×1/4
Step-by-step explanation:
to turn it into a multiplication problem, turn the second fraction into its reciprocal (flip the numerator and denominator )
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Answers
Answer:
(16+25)×47
Step-by-step explanation:
..........
(16+25)x47 , theree you go
An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?
Answers
Answer:
$14 discount$56 discounted priceStep-by-step explanation:
The amount of the discount is ...
20% of $70 = 0.20·$70 = $14 . . . discount
The discounted amount is ...
$70 -14 = $56 . . . discounted price
my Christmas present to you
Answers
Answer:
THX santa
Step-by-step explanation:
what is -150 + -12 =?
Answers
Answer:
-162
Step-by-step explanation:
Answer:
your answer is -162
Step-by-step explanation:
if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have
Graph: y = 3 * x + 5
Answers
Answer:
2
Step-by-step explanation:
take the 3 put on the side
Someone plz help ToT
Answers
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
Is it a expression 3x - 7
Answers
Answer:
It’s an expression.
Step-by-step explanation:
An expression is technically an equation but without the answer.
Answer:
yes
Step-by-step explanation:
The difference between an equation and an expression is that an equation as an equals sign. An equation shows that 2 expressions are equal to each other.
Expression:
[tex]3x-7[/tex]
Equation:
[tex]3x-7=5y[/tex]
HOPE I MADE YOU SMILE!!
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Answer:
ok points
Step-by-step explanation:
Answer:
Thank You so much.....You made me smile lol :D