All categories

3 years ago

12 is 75% of what number

Mathematics

2 answers:

nordsb [41]3 years ago

7 0

Since 12 can be divided by 3 to have 4+4+4=12
12+4=16
16 is your final answer

Marat540 [252]3 years ago

4 0

Correct answer is 16

You might be interested in

For what value of the domain {–3, –1, 0, 2, 5} does f(x) = g(x) When f(x) = 3x – 4 and g(x) = x2 – 2

zavuch27 [327]

F(x) = g(x)
3(2) - 4 = (2)² - 2
6 - 4 = 4 - 2
2 = 2
I just substituted all the values in the domain to see which one would work. That's not really the quickest way but that's the only way I know

7 0

3 years ago

What information is needed to determine that the two triangles are congruent be ASA?

Anna007 [38]

Answer:

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

5 0

2 years ago

Read 2 more answers

In one year, three awards (research, teaching, and service) are given to a class of 25 graduate students in a statistics departm

allochka39001 [22]

Answer:

13,800

Step-by-step explanation:

This is a permutation, not a combination, because order matters.

Here's why:

Arbitrarily, let's say that the three students chosen for the award are Abby, Bob, and Charlie. The order of which each award is given to the three of them matters, because otherwise they would be receiving different awards. For example, if Abby gets the research award, Bob gets the teaching award, and Charlie gets the service award, this would be notably different than if Abby got the teaching award, Bob got the service award, and Charlie got the research award.

Therefore, for the first award, we have 25 people to choose from. After we select that person, we have 24 people to choose from, since the problem stipulates that each student can receive at most one award. Then 23, and so on.

Since we're choosing three people to give awards to, there are:

$25\cdot 24\cdot 23=\boxed{13,800}$ permutations. Because order matters (refer to explanation above), this is our final answer.

3 0

3 years ago

Find a rational number halfway in between the two numbers. 7/9 and 3/4

AlekseyPX

Answer: 55/126

Step-by-step explanation:

For this equation, the easiest way to solve is to change the denominators, or bottom halves, of both fractions to be the same thing. The easiest way to do this is to multiply themselves with a “funny form” of one. A funny form of one is just a way of representing “1” with numbers that aren’t 1. “2/2” is a funny form of one. log(x)/log(x) is a funny form of one, etc..

(3/7)x(9/9)=27/63

(4/9)x(7/7)=28/63

These fractions are very close. If you are willing to settle for an unsimplified fraction, the answer here would be 27.5/63. If you aren’t willing to settle for the unsimplified form, we can multiply both fractions by a funny form of one again, most easily 2/2, and find the median of the two fractions.

(27/63)x(2/2)=54/126

(28/63)x(2/2)=56/126

The median of these two fractions is 55/126.

55/126 is exactly halfway between 3/7 and 4/9.

7 0

2 years ago

For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.

garik1379 [7]

Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.

The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:

$A = \frac{h}{2}(b_1 + b_2)$