On a test, 74% of the questions are answered correctly. If 111 questions are correct, how many questions are on the test?

Mathematics

2 answers:

Mashcka [7]2 years ago

5 0

Answer:

150

Step-by-step explanation:

You have to divide the correct answers (111) by the total amount of questions (x) in order to find the 74% (0.74)

Phantasy [73]2 years ago

5 0

Answer: there are 150 questions in the test.

Step-by-step explanation:

Let x represent the total number of questions in the test.

On a test, 74% of the questions are answered correctly. This means that the number of questions that were answered correctly is

74/100 × x = 0.74 × x = 0.74x

If 111 questions are correct, it means that

0.74x = 111

Dividing the left hand side and the right hand side of the equation by 0.74, it becomes

0.74x/0.74 = 111/0.74

x = 150

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In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,

KATRIN_1 [288]

Answer:

61.5%

Step-by-step explanation:

Let's find all the demographics first:

Sophomores in the class(total 15):

Female: 5

Male : 10

Freshmen in the class(total 11):

Female: 3

Male: 8

There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.

4 0

2 years ago

Help super important

const2013 [10]

Hello.

Taking a look at our screenshot provided, we can conclude that we need to find the missing angle degree out of 90 degrees, as we are dealing with a right angle.

Let's set this up as an Algebraic formula and solve for the variable;
5x + 15 + 50 = 90

First, let's combine like-terms (15 and 50).

5x + 65 = 90

Now, isolate our variable by subtracting 65 from each side of the equation.

90 - 65 = 25
65 - 65 = 0

5x = 25

Now, divide both sides by 5 to solve for x, our missing angle degree.

x = 5

Your answer is A.) 5

I hope this helps!

3 0

3 years ago

The volume of a rectangular prism is 2x^3+9x^2-8x-36 with height x + 2. Using synthetic division, what is the area of the base?

navik [9.2K]

Answer:

Area of the base = $2x^2+5x-18$