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svp [43]
3 years ago
6

Will give brainliest!!

Mathematics
1 answer:
swat323 years ago
3 0

Answer:

its 5 hours i think

Step-by-step explanation:

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A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

7 0
3 years ago
Lisa buys 3 pints of milk how many cups did Lisa buy?
AnnZ [28]

Answer:

3 pints = 6 cups

Step-by-step explanation:

Formula: multiply the volume value by 2

3 0
2 years ago
Read 2 more answers
Lilly saw a jelly fish at 6 feet below sea level. She saw a bright blue fish at 10 feet below sea level. What is the distance be
Greeley [361]

Answer:

4 feet of distance between each other it is very simple and easy.

Step-by-step explanation:

They are both 6 feet and 10 feet away from each other so you just take 10-6 which is 4

3 0
3 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
3 years ago
Miguel has 12 chocolate chip cookies, 6 lemon cookies and 17 strawberry cookies. Write a fraction that indicates how many cookie
Anon25 [30]

Answer:

<h2> 6/35</h2>

Step-by-step explanation:

This problem is on fraction

given data

chocolate chip cookies= 12

lemon cookies = 6

strawberry cookies= 17

the total cookies is = 12+6+17

=35 cookies

Therefore the fraction that indicates the lemon cookies is

=the number of lemon cookies/total cookies

=6/35

Hence the fraction lemon is 6/35

8 0
2 years ago
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