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3 years ago

A store buys sweaters for $8 and sells them for $26. How many sweaters

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

55 x 26 = 1430

55 x 8 = 440

1430 - 440 = 990

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Point M is the midpoint of AB. The coordinates of point A are(-6, 3) and the coordinates of M are

densk [106]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x-6}{2}~~,~~\cfrac{y+3}{2} \right)~~=~~\stackrel{\stackrel{Midpoint}{M}}{(-2~,~3)}\implies \begin{cases} \cfrac{x-6}{2}=-2\\[1em] x-6=-4\\ \boxed{x=2}\\ \cline{1-1} \cfrac{y+3}{2}=3\\[1em] y+3=6\\ \boxed{y=3} \end{cases}$

7 0

4 years ago

jar contains pink and green marbles in the ratio 3 : 4. When John replaces 5 of the green marbles with 8 pink marbles, the ratio

nikklg [1K]

Answer:

52:49

Step-by-step explanation:

pink:green

The ratio of pink to green marbles is

3k:4k

He removes 5 green marbles and adds 8 pink marbles.

Now the ratio of pink to green marbles is

(3k + 8):(4k - 5)

This rario is equal to 29:23.

(3k + 8)/(4k - 5) = 29/23

29(4k - 5) = 23(3k + 8)

116k - 145 = 69k + 184

47k = 329

k = 7

Original amounts:

3 * k = 3 * 7 = 21 pink

4 * k = 4 * 7 = 28 green

Original total = 21 + 28 = 49

Amounts after replacement:

3k + 8 = 3(7) + 8 = 29 pink

4k - 5 = 4(7) - 5 = 23 green

Total after replacement = 23 + 29 = 52

Answer: The ratio of the total number of marbles in the jar after replacement to the total number of marbles in the jar originally is 52:49.

8 0

3 years ago

A pair of fair dice is cast. what is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one

WITCHER [35]

If a pair of fair dice is cast, the probability that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is given by:

$\frac{P(sum\, of\, 9\, \cup\,3)}{P(3)}$

The number of outcomes of sum of 9 where at last one is 3 is (3, 6) and (6, 3) = 2.

The number of outcomes of last one of the numbers falling uppermost is a 3 is (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (1, 3), (2, 3), (4, 3), (5, 3) and (6, 3) = 11.

Therefore, the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3 is 2 / 11.

5 0

4 years ago

Base on the data what is the probability of rolling a 3 or a 5

Kobotan [32]

Answer:

1/3

Step-by-step explanation:

There are 6 numbers on a dice, you want one out of the 2 outcomes, so tat makes it 2/6 or 1/3 chance of rolling a 3, or a 5

3 0

4 years ago

Read 2 more answers

Katie Cole purchased a mountain bike with an installment loan that has an APR of 14%. The mountain bike sells for $762. The stor