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skad [1K]
3 years ago
15

The area of a playground is 204 yards squared the width of a playground at 5 yards longer than its length whats the length and t

he width of the playground
Mathematics
1 answer:
Ilya [14]3 years ago
6 0
W= width= L+5
L= length
Area= 204

Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)

0= L+17
-17= L

0= L-12
12 yards= L


WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.

w=L+5
w=12+5
w=17 yards


CHECK:
204=(12)(17)
204=204


ANSWER: The length is 12 yards and the width is 17 yards.

Hope this helps! :)
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A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.
Alenkinab [10]

Answer:

8 becaus it dives. 2 meters second so if it dives to meters every second then all you have to do is add to to 4 seconds

4 0
2 years ago
What is 1 5/8 divided by 5 1/7
weeeeeb [17]

Answer: 91/288

Step-by-step explanation: To divide mixed numbers, first write the mixed numbers as improper fractions.

We can do this by multiplying the denominator by the whole number and then adding the numerator. Then, we put our new numerator over our old denominator.

So here, we can write 1 and 5/8 as the improper fraction 13/8 and we can write 5 and 1/7 as the improper fraction 36/7.

So here, we have 13/8 ÷ 36/7.

Dividing by a fraction is the same as multiplying by the reciprocal of that fraction.

So here, 13/8 ÷ 36/7 is the same as 13/8 × 7/36.

So now we are simply multiplying fractions and we do this by multiplying across the numerators and multiply across the denominators.

\frac{13}{8} x \frac{7}{36} = \frac{91}{288}

So now we have 91/288 which is in lowest terms.

This means that 1 and 5/8 divided by 5 and 1/7 is 91/288.

7 0
3 years ago
Find the 9th term of the sequence which has a first term of 1 and has a common ratio of 1.5
Scrat [10]
A₁ = 1;  r=1.5

a₉ = a₁ * r⁸ = 1 * 1.5⁸ ≈ 25.63

Answer: c. 25.63
7 0
3 years ago
Solve: negative 1 over 2x + 1 = −x + 8
marusya05 [52]
Equation: -1/2x + 1 = -x + 8

Work:

-x/2 + 1 = -x + 8

1 - x/2 = -x + 8

1 - x/2 = 8 - x

2 - x = 16 - 2x

-x = 16 - 2x - 2

-x = 2x + 14

-x + 2x = 14

x = 14

Final Answer:

x = 14
8 0
3 years ago
9 2/3 + 4 1//5 what the answer to this i am lost please hep
SCORPION-xisa [38]

Answer:  13  13/15

Step-by-step explanation:

6 0
2 years ago
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