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2 years ago

If a and b vary directly and a = 6 when b = 4, what will be the value of a when b = 16?

Mathematics

1 answer:

SpyIntel [72]2 years ago

7 0

"Vary directly" is another way of saying "directly proportional".

In simple English, this just means, as one increases, the other increases too.

a = 6

b = 4

The question says find out what a is when b is 16.

First, lets find how many times larger b has gotten.

16/4 = 4

b had gotten 4 times bigger to go from b=4 to b=16

If a is varying directly, it means that it will also get 4 times bigger.

Therefore, a = 6 x 4 = 24

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I do not understand this question, anyone help? Most brainiest for the right answer!

Oksi-84 [34.3K]

Answer:

56.7

Step-by-step explanation:

We know

mean = sum / count, with count being the amount of papers corrected in this case. We want to find the sum of all the papers as well as the count to figure out the mean of all papers.

For Tony's papers,

mean = sum / count

50 = sum / 40

multiply both sides by 40 to isolate the sum

sum = 50 * 40 = 2000

For Alice's papers,

mean = sum / count

70 = sum / 20

multiply both sides by 20 to isolate the sum

70 * 20 = sum = 1400

The total sum of all 60 papers is equal to the sum of 40 papers + the sum of the remaining 20 papers, or 2000 + 1400 = 3400. The mean of the 60 papers is therefore

mean = sum / count

mean = 3400/60 ≈ 56.7

6 0

3 years ago

There are 30 nonfiction books and 34 fiction books in the teachers collection. Which of the following expresses the ratio of fic

Yanka [14]

Divide each by 2 and you get 15:16

3 0

3 years ago

What is the factored form of the expression?Factor completely. 6x^4-9x^3-36x^2+54x

mario62 [17]

If we factorize the expression

$6x^4-9x^3-36x^2+54x$

We will get

$3x(2x-3)(x^2-6)$

Hope I helped!

8 0

3 years ago

Read 2 more answers

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2

Gemiola [76]

Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
$a = b = c \div \sqrt{2} \\ c = a\sqrt{2} \\ c = 6 \sqrt{2} \times \sqrt{2} = 6 \times 2 = 12$
Another way to do it is the longer proof of Pythagorean Theorem:
${c}^{2} = {a}^{2} + {b}^{2}... \: \: c = \sqrt{({a}^{2} + {b}^{2})} \\$
$c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}} \\ = \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )} = \sqrt{2(36 \times 2)} \\ c = \sqrt{144} = 12$

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3 years ago

Elijah works at Chick-fil-A and gets paid weekly. He does not have any money in his bank account yet, but will

Maurinko [17]

What is the question?

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3 years ago