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Evgen [1.6K]
3 years ago
13

April went to a shopping mall. She spent $28.95 on a jacket, $12.75 on a belt, and $6.59 on socks, before tax. The tax rate was

7.5%.
Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

what is the question

Step-by-step explanation:

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Plzz help Solve for x x ÷3 3/10 =2 2/5
Svet_ta [14]

Answer:

\huge\boxed{x=7\dfrac{23}{25}}

Step-by-step explanation:

x\div3\dfrac{3}{10}=2\dfrac{2}{5}\\\\\text{convert the mixed number to the impropper fraction}\\\\3\dfrac{3}{10}=\dfrac{3\cdot10+3}{10}=\dfrac{33}{10}\\\\2\dfrac{2}{5}=\dfrac{2\cdot5+2}{5}=\dfrac{12}{5}\\\\x\div\dfrac{33}{10}=\dfrac{12}{5}\\\\x\times\dfrac{10}{33}=\dfrac{12}{5}\qquad\text{multiply both sides by}\ \dfrac{33}{10}\\\\x\times\dfrac{10\!\!\!\!\!\diagup}{33\!\!\!\!\!\diagup}\times\dfrac{33\!\!\!\!\!\diagup}{10\!\!\!\!\!\diagup}=\dfrac{12}{5}\times\dfrac{33}{10}\\\\x=\dfrac{396}{50}

x=\dfrac{198}{25}\\\\x=\dfrac{175+23}{25}\\\\x=\dfrac{175}{25}+\dfrac{23}{25}\\\\x=7\dfrac{23}{25}

3 0
3 years ago
You buy books for 64 cents each, you plan to sell them for 75 cents each. You're left with 100 unsold books, and you lost $12. H
PSYCHO15rus [73]

The number of books sold is 473.

<u>Step-by-step explanation:</u>

  • The original cost of each book = $0.64
  • The selling price of each book = $0.75

The difference between the original price and selling price of the book gives the profit per book.

The profit of one book = Selling price - Original price

Let,

  • The total number of books be 'x'.
  • The number of books sold be 'y'.
  • The unsold books is 100.
  • The total profit is -12 because it was gone to a loss of $12.

Therefore, the equation is formed as

total Profit = 0.75y - 0.64x

⇒ 0.75y - 0.64x = -12 --------(1)

Total books = sold books + unsold books

x = y + 100

⇒ x-y = 100  -------(2)

Substitute x= 100+y in the eq(1),

0.75y - 0.64(100+y) = -12

0.75y - 64 -0.64y = -12

0.11y = -12 +64

y = 52 / 0.11

y = 472.7

y ≅ 473

The number of book sold is 473 books.

The total number of books is (100+473) = 573 books.

8 0
3 years ago
An airplane left Miami, FL. At the same time another plane left Santiago, Chile. The two planes flew toward each other at rates
Nina [5.8K]
Since we know that LCM of both 625&575 is 14375, we must find the hours it took for both planes to arrive at this same destination.

Plane 1(625): Took 23 hours to arrive.

Plane 2(575): Took 25 hours to arrive.

Therefore, the answer should be from 23-25 hours to arrive or if looking for middle number, 24 hours exactly.

Hope this helps.
7 0
3 years ago
A sample of 140 Vopstra customers have had their annual phone charge recorded for the previous calendar year. The data were used
taurus [48]

Answer:

Correct option: (a)

Step-by-step explanation:

A confidence interval is an interval estimate of the parameter value.

A (1 - <em>α</em>)% confidence interval implies that the confidence interval has a (1 - <em>α</em>)% probability of consisting the true parameter value.

OR

If 100 such confidence intervals are made then (1 - <em>α</em>) of these intervals would consist the true parameter value.

The 92% confidence interval for the mean annual phone charge of all Vopstra customers is:

\$470\pm \$65=(\$405, \$535)

This confidence interval implies that true mean annual phone charge of all Vopstra customers is contained in the interval ($405, $535) with 0.92 probability.

Thus, the correct option is (a).

6 0
4 years ago
I GIVE BRAILILSET\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Katyanochek1 [597]

Answer:

H

Step-by-step explanation:

7 0
3 years ago
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