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3 years ago

Negative 8/9 divided by 2/3

Mathematics

1 answer:

djverab [1.8K]3 years ago

7 0

Answer:

$\frac{4}{3}$

Step-by-step explanation:

Step 1: Divide

$\frac{8}{9} / \frac{2}{3}$

$\frac{8}{9} * \frac{3}{2}$

$\frac{8 * 3}{9 * 2}$

$\frac{24/6}{18/6}$

$\frac{4}{3}$

Answer: $\frac{4}{3}$

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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

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2 years ago

John bought three times as many Cokes as Dr. Peppers for his party. If he bought a total of 144 Cokes and

ahrayia [7]

Answer:

48 dr peppers and of course 144 cokes.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the slope of each line.

Jlenok [28]

Answer:

5/7

Step-by-step explanation:

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2 years ago

Summer is approaching, so workers at the Lawrenceville Community Center are filling the pool. The volume of water in the pool x

Vanyuwa [196]

9514 1404 393

Answer:

The pool is being filled

Step-by-step explanation:

The function definition tells you ...

f(5) = the volume of water in the pool 5 minutes after they start

f(10) = the volume of water in the pool 10 minutes after they start

So, the inequality ...

f(5) < f(10)

means the volume of water in the pool 10 minutes after they start is greater than it is 5 minutes after they start. In short, they are filling the pool.

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2 years ago

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during th

NikAS [45]

60% of 20 quizzes = 60/100*20 quizzes = 12 quizzes

Amount of quizzes remaining = 50 quizzes - 20 quizzes = 30 quizzes

He passes 80% of those 30 quizzes, so

80/100 * 30 quizzes = 24 quizzes

So, he passed 12 quizzes from the initial bunch and 24 quizzes from the rest, which totals to 12 quizzes + 24 quizzes = 36 quizzes.

Then, you see that he passed 36 quizzes, out of the total 50 quizzes, so the ratio is 36 quizzes / 50 quizzes = 36/50, which when converted as a percentage is 36/50 * 100% = 72%.

Therefore, he passed 72% of the quizzes for the entire year.

4 0

3 years ago