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Oksanka [162]
3 years ago
10

A department store is having a sale in which every item is 38% off its original price. The regular price of a suit is $112. How

much will be taken off the regular price of the suit?
Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer: $42.56

Step-by-step explanation:

Percent discount in department store = 38%

The regular price of suit = $112.

Price taken off the regular price of the suit =

38% of $112

So, 38% of $112

= (38/100) x $112

= 0.38 x $112

= $42.56

(i.e the customer will pay $112 - $42.56 = $69.44 only for the suit)

Thus, the price taken off the regular price of the suit is $42.56

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(2 + 5i)(2 + i) <br><br> please help me to understand how to do it
Tpy6a [65]
<span>(2 + 5i)(2 + i) 
= 4 + 10i + 2i + 5i^2
= 4 + 12i + 5i^2</span>
8 0
3 years ago
Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.1
NeTakaya

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

7 0
2 years ago
How should this problem be solved?<br> (a^3)^2
fiasKO [112]
  (a^3)^2
= a^(3*2)
= a^6
or
   a^3 * a^3
= a^(3+3)
= a^6

7 0
2 years ago
the ratio of reds to greens was 5 to 16 and six times the number of reds exceeded the number of greens by 112. how many were red
Masja [62]
Call red as X then X/Green =5/16 => green = 16X/5.
six times the number of reds exceeded the number of green by 112 => 6X-16X/5=112 => 14X/5=112 => X= 40 => reds:40 => green = 128
7 0
3 years ago
A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N
Nataliya [291]

Answer:

C. 34.15 oz

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu= 33, \sigma = 0.7

How heavy does a box have to be for it to be labeled overweight?

Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.

So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 33}{0.7}

X - 33 = 0.7*1.645

X = 34.15

So the correct answer is:

C. 34.15 oz

4 0
2 years ago
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