Of the runners in a marathon through northeastern Pennsylvania, 94.12% finished the race. If 2,125 runner started the race, how many finish the race?

Answers

Answer 1

Answer: To find a percentage of a number, multiply the number by the decimal version of the percent.

For 94.12%, the decimal form is 0.9412 (because 94.12% really means 94.12 out of 100).

So, to find 94.12% of 2125, multiply the decimal form by the number:

2125 × 0.9412 =2000.05, so 2000 people finished the race.

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HELP NO EXPLANATION NEEDED :)

There are 28 pens in a full box. how many pens are in 35 full boxes

Answers

Answer:

980

Step-by-step explanation:

Multiply the number of pens in a box by the number of boxes.

X · 1 + = _____.
1
x
1 + x
2x

Answers

Yeah umm I'm doing my homework and the answer was ACTUALLY 2x... Soooo....

x with a dot next to it means that you have to multiply x with whatever value/s is after the dot

so in this case you have to multiply x by 1, which results in 1x or x

the answer is x
hope it helped :)

A hat contains the names of seven boys and three girls. If one name is drawn from the hat at random, P(Boy) =

Answers

P(Boy)

= Number of boys/Total number of people

= 7 / (7+3)

=7/10

=0.7

Answer:

7/10 (7 over 10) or 0.7

There are 7 boys and 3 girls, combined they equal to 10. So, the probability of picking a boy is very likely to be chosen because the probability is over 50% (70%).

Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.

Answers

Full question attached

Answer and explanation:

Since x = number of true or false questions correct

And y = number of multiple choice questions correct

And each question for x =2 points

each question for y=3 points

since she then needs a total score of more than 93 to pass, we add up total correct questions and

Inequality equation = 2x +3y >93

Final answer:

To find the least number of points for which the number of points for Part A is equal to the number of points for Part B, we need to find the least common multiple (LCM) of the values of points for true/false questions and multiple choice questions.

Explanation:

To find the least number of points for which the number of points for Part A is equal to the number of points for Part B, we need to find a common multiple of the values of points for true/false questions and multiple choice questions. Let's assume the number of points for true/false questions is x and the number of points for multiple choice questions is y. We need to find the least common multiple (LCM) of x and y. Once we find the LCM, that will be the minimum number of points for which the number of points in Part A is equal to the number of points in Part B.

For example, if the number of points for true/false questions is 4 and the number of points for multiple choice questions is 6, we can find the LCM as follows:

List the multiples of 4: 4, 8, 12, 16, 20, 24, ...
List the multiples of 6: 6, 12, 18, 24, 30, ...
Find the smallest number that appears in both lists: 12

Therefore, the least number of points for which the number of points in Part A is equal to the number of points in Part B is 12.

Learn more about Least Common Multiple (LCM) here:

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(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]