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Vikki [24]
3 years ago
10

Malika bought 7 new pairs of shoes. Each pair of shoes cost the same amount and was discounted by $21.75.

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Multiply the amount of the discount by pairs of shoes:

21.75 x 7 = 152.25

Add that to the total she spent:

152.25 + 654.50 = 806.75

Divide the total by pairs of shoes:

806.75/7 = $115.25

The answer is C. $115.25

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ioda

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Step-by-step explanation:

7 0
3 years ago
Why <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bx%5Cto%20-3%7D%5Cleft%28x%5E2-2x%2B4%5Cright%29" id="TexFormula1" title="\lim
shepuryov [24]

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}

You are mistaking (-3)² for -3². They are not the same number.

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3 0
2 years ago
The cosine rule calculate tha angle of r 7.2 3,7 5.2
Leya [2.2K]

Given:

Consider the below figure attached with this question.

To find:

The measure of angle r by using the cosine rule.

Solution:

According to Law of Cosine,

a^2=b^2+c^2-2bc\cos A

Using the Law of Cosine, we get

(7.2)^2=(3.7)^2+(5.2)^2-2(3.7)(5.2)\cos r

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51.84=40.73-38.48\cos r

51.84-40.73=-38.48\cos r

On further simplification, we get

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Therefore, the measure of angle r is 106.78 degrees.

7 0
3 years ago
A large loan company specializes in making automobile loans for used cars. The board of directors wants to estimate the average
diamong [38]

Answer:

z-interval: (-1.64, 1.64)

90% Confidence interval:  (7954,8446)

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = $8,200

Sample size, n = 225

Alpha, α = 0.10

Sample standard deviation, s = $750

90% Confidence interval:

\mu \pm z_{critical}\dfrac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64

z-interval: (-1.64, 1.64)

8200 \pm 1.64(\dfrac{750}{\sqrt{25}} ) = 8200 \pm 246 = (7954,8446)

(7954,8446) is the required confidence interval.

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