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-BARSIC- [3]
3 years ago
7

A leak in a pool causes the height of the water to decrease by 0.25 ft before the leak is fixed. After the leak is fixed the hei

ght of the water is 4.75 feet. The equation 4.75=x+(-0.25) can be used to find x, the original height of the water in the pool what was the original height of the water in the pool
Mathematics
1 answer:
saw5 [17]3 years ago
4 0

x = 4.75 + 0.25

x = 5.00 ft

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1) (3-x) x (3+x)

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4 0
3 years ago
A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o
kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0
3 years ago
Please help me at this wit steps how did you did it
balu736 [363]

Answer:

5. LCM of 7 and 14: <u> </u><u> </u><em><u>1</u></em><em><u>4</u></em><em><u>. </u></em>

multiples of 7: <u> </u><u> </u><u>7</u><u>,</u><u> </u><u>1</u><u>4</u><u> </u>

multiples of 14: <u> </u><u>1</u><u>4</u><u> </u>

LCM of 8 and 12: <u> </u><u> </u><em><u>2</u></em><em><u>4</u></em><em><u>. </u></em>

multiples of 8: <u> </u><u> </u><u>8</u><u>,</u><u> </u><u>1</u><u>6</u><u>,</u><u> </u><u>2</u><u>4</u><u> </u>

multiples of 12: <u> </u><u> </u><u>1</u><u>2</u><u>,</u><u> </u><u>2</u><u>4</u><u> </u>

Step-by-step explanation:

.

5 0
3 years ago
What number is 30% of 150
mrs_skeptik [129]
Find 30% of 150.  To do this, mult. 150 by 0.30.  Result:  45.
8 0
3 years ago
Read 2 more answers
PLEASE HELP!!! I don't understand it
Len [333]

Answer:

A

Step-by-step explanation:

This is exponential decay; the height of the ball is decreasing exponentially with each successive drop.  It's not going down at a steady rate.  If it was, this would be linear.  But gravity doesn't work on things that way.  If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height.  The form of this equation is

y=a(b)^x, or in our case:

A(n)=a(b)^{n-1}, where

a is the initial height of the ball and

b is the decimal amount the bounce decreases each time.  For us:

a = 1.5 and

b = .74

Filling in,

A(n)=1.5(.74)^{n-1}

If ww want the height of the 6th bounce, n = 6.  Filling that into the equation we already wrote for our model:

A(6)=1.5(.74)^{6-1} which of course simplifies to

A(6)=1.5(.74)^5 which simplifies to

A(6)=1.5(.22190066)

So the height of the ball is that product.

A(6) = .33 cm

A is your answer

3 0
3 years ago
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