MATHEMATICS COLLEGE

There are 24 more students in the seventh grade class than the number g in the eighth grade class. The seventh grade class has 160 students. Write and solve an equation to find the number of students in the eighth grade class.

Answers

Answer 1

Answer:

Answer:

y= 8th grade class,

y + 24 =160

subtract 24 from both sides

y=136

there are 136 students in the eight grade class

Step-by-step explanation:

Answer 2

Answer:

Answer:

136 students

Step-by-step explanation:

7th grade= 160 students

8th grade= g students

g= 160-24

g= 136 students

- I hope this helps have a great day!

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Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 representthe other two numbers.)

Answers

Answer:

71, 72, 73

Step-by-step explanation:

So we want to find three consecutive integers that equal 216.

Let the first integer be n.

Then the second integer is n+1, and the third integer is n+2.

Thus:

$n+(n+1)+(n+2)=216$

Combine like terms:

$3n+3=216$

Subtract 3 from both sides:

$3n=213\n$

Divide 3 from both sides:

$n=71$

So, the first term is 71.

And the other two is 72 and 73.

And we are done :)

HELP PLEASE ASAP What is the length of the diagonal of the square shown below?

Answers

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

15. In the State of California, there are 25 full-time employees to every 4 part-time employees. If there are 250,000 full-time employees, how many part-time employees are there statewide?

Answers

40,000
I know it's not the mathematical way, but it's the same ratio, so just add the same amount of zeroes.

Final answer:

To find the number of part-time employees in California, set up a proportion and solve for x.

Explanation:

To find the number of part-time employees statewide, we can set up a proportion using the given information. We know that there are 25 full-time employees for every 4 part-time employees. So, we can write the proportion as:

25 full-time employees / 4 part-time employees = 250,000 full-time employees / x part-time employees

Cross-multiplying, we get:

25x = 4 * 250,000

Simplifying, we have:

25x = 1,000,000

Dividing both sides by 25, we find:

x = 40,000

Therefore, there are 40,000 part-time employees statewide in California.

Learn more about Calculating number of part-time employees here:

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What is the slope of the function? –6 –4 4 6graph :
x
-2
-1
0
1
2

y
8
2
-4
-10
-16

Answers

to get the slope, all we need is two points, so let's pick two off the table.

$\bf \setlength{\fboxsep}{1pt}\begin{array}{rrll}x&y\n\cline{1-2}\n\boxed{-2}&\boxed{8}\n-1&2\n\boxed{0}&\boxed{-4}\n1&-10\n2&-16\end{array}~\hspace{5em}(\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-4})\n\n\n\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-8}{0-(-2)}\implies \cfrac{-4-8}{0+2}\implies \cfrac{-12}{2}\implies -6$

Answer:

-6 i got it right

Step-by-step explanation:

PLS DO 3-4 I WILL BRAINLIST YOU AND USE THE DATA AND EXPLAIN IT PLSSS HELP

Answers

Answer:

25, 33

Step-by-step explanation:

3. 124 divided by 5 is 24 remainder 4, so they will need 25 cars

4. 230 divided by 7 is 32 remainder 6, so they will need 33 boxes

Triple the difference of 8 from 10, then multiply by 5.

Answers

Answer:

Step-by-step explanation:

The answer is 30. This is because the difference of 8 from 10 is 2. That difference must be tripled to get 6. Finally the 6 must be multiplied by 5 to get 30.

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