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3 years ago

This Question: 1 pt

Mathematics

1 answer:

horrorfan [7]3 years ago

8 0

Answer: the length of the field is 70 yards. The width of the field is 35 yards

Step-by-step explanation:

Let L represent the length of the rectangular athletic field.

Let W represent the width of the rectangular athletic field.

A rectangular athletic field is twice as long as it is wide. This means that

L = 2W

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

If the perimeter of the athletic field is 210 yards, it means that

210 = 2(L + W)

L + W = 210/2 = 105

Substituting L = 2W into L + W = 105, it becomes

2W + W = 105

3W = 105

W = 105/3 = 35

L = 2W = 2 × 35

L = 70

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Kate bought a T-shirt for $12.95 and a pair of shorts for $10.95. She paid 6.25% in tax. What is her total amount that she paid?

sergeinik [125]

Kate paid $25.39 for her purchases.

Kate will receive $24.61 in change.

Step-by-step explanation:

Given,

Cost of t-shirt = $12.95

Cost of pair of shorts = $10.95

Total = cost of t-shirt + cost of pair of shorts

Total = 12.95 + 10.95 = $23.90

Sales tax = 6.25% of total amount

Amount of sales tax = $\frac{6.25}{100}*23.90=\frac{149.375}{100}$

Amount of sales tax= $1.49

Total amount with sales tax = 23.90 + 1.49 = $25.39

Kate paid $25.39 for her purchases.

Amount paid = $50

Change received = Amount paid - Bill amount

Change received = 50 - 25.39 = $24.61

Kate will receive $24.61 in change.

Keywords: sales tax, addition

Learn more about addition at:

#LearnwithBrainly

3 0

3 years ago

Explain your reasoning for your answer above. <br><br> I’ll give brainliest !!

Juliette [100K]

Answer:

Step-by-step explanation:

The triangles are the same. Congruent is when all three sides are equal to each other on both triangles

5 0

3 years ago

PLEASE HELP ME!!!!! I need Help Please With the 2nd question please any help me

galina1969 [7]

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3 0

3 years ago

Help plz with Algebra question I attached a file

astraxan [27]

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x= $\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}$

x= $\frac{-4(+/-)\sqrt{176} }{2}$

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

5 0

3 years ago

If events A and B are independent, what must be true?A.) P(AB) = P(B)

anygoal [31]

Answer:

B.) P(A/B) = P(A)

Step-by-step explanation:

If two events, A and B are independent:

We have that:

$P(A \cap B) = P(A)P(B)$

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Since they are independent:

$P(A \cap B) = P(A)P(B)$

Then

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)$

$P(B|A) = P(B)$ , or either:

$P(A|B) = P(A)$ , and thus, the correct answer is given by option B.

7 0

3 years ago