MATHEMATICS MIDDLE SCHOOL

Find the area of rectangle who’s length is 35 and diognal is 37

Answers

Answer 1
Answer:

Step-by-step explanation:

Hope it helps uh

Plz mark as brainlist
Answer 2
Answer:

Answer:

420 unit^2.

Step-by-step explanation:

By Pythagoras theorem:

37^2 = 35^2 + w^2  where w = the width.

w^2 = 37^2 - 35^2

w^2 = (37 + 35) (37 - 35)

w^2=  72 * 2 = 144

w = 12 units.

So the area = 12 * 35

= 420 unit^2.

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Jake has a piece of yarn that is feet long Blair has a piece of yarn that is 4 inches long. who has the longer piece of yarn? Explain.

Answers

Jake has the longer piece of yarn, there is 12 inches in a foot. Meanwhile blair only has a 4 inch piece of yarn.

There are 84 grapes in a bag. Four friends are sharing the grapes. Write an equation that can be used to find out how many grapes g each friend will get if each friend gets the same amount of grapes.

Answers

Answer:

Step-by-step explanation: 4g= 84

g = 21
84 = 4x
84 is the total amount of grapes
4 is the number of friend
x = how many grapes each friend will get

LaPeach Elementary School uses 4000 pencils each year. The school has 500 students. What is the unit rate per student?

Answers

Answer:

8

Step-by-step explanation:

Unit per student = 4000/500 = 8

Answer:

8

Step-by-step explanation:

one common factor of two numbers is 40. another common factor is 10. if both numbers are less than 100, what are the two numbers?

Answers

The answer will be 40 and 80

What is the answer to 3x{5x[10+5(500-100)+399]}

Answers

Answer:

3x{5x[10+5+400+399]}

3x{5x814}

3x4070

=1221

Consider solving the equation for x.3(3x + 4) - 5 = ax + b
Which statements are true about the solution to the equation when substituting values for a and b as specified?
Select all that apply.

A. If a=−3 and b=4 , then there is exactly one solution to the equation.
B. If a=−9 and b=13 , then there is no solution to the equation.
C. If a=9 and b=−2 , then there is no solution to the equation.
D. If a=−3 and b=−5 , then there are infinitely many solutions to the equation.
E. If a=9 and b=7 , then there is exactly one solution to the equation.

Answers

Answer:

A. If a=−3 and b=4 , then there is exactly one solution to the equation.

C. If a=9 and b=−2 , then there is no solution to the equation.

Step-by-step explanation:

The given equation is

3(3x+4)-5=ax+b

To solve for x, we need to use the distributive property

3(3x+4)-5=ax+b\n9x+12-5=ax+b\n9x-ax=b-7\nx(9-a)=b-7

To find the right statement, we need to the given values.

For a=-3 and b=4,

x(9-a)=b-7\nx(9-(-3))=4-7\nx(9+3)=-3\n12x=-3\nx=(-3)/(12) =-(1)/(4)

So, choice A is true, because there's one solution to the equation.

For a=-9 and b=13,

x(9-a)=b-7\nx(9-(-9))=13-7\n18x=6\nx=(6)/(18)=(1)/(3)

The choice B is false.

For a=9 and b=-2

x(9-a)=b-7\nx(9-9)=-2-7\n0x=-9\n0=-9

Choice C is correct, because there's no solution, because zero is not equal to -9.

For a=-3 and b=-5

x(9-a)=b-7\nx(9-(-3))=-5-7\n12x=-12\nx=(-12)/(12)=-1

Choice D is false, becuase there's only one solution.

For a=9 and b=7

x(9-a)=b-7\nx(9-9)=7-7\n0x=0\n0=0

Choice E is false, because there are infinite solutions in ths case.

Therefore, the right choices are A and C.
So let's simplify the equation first.

9x + 12 - 5 = ax + b
9x + 7 = ax + b
9x - ax - b = 7

Alright now plug in the numbers for each option.
I don't feel like doing all of them but I did A (one solution) and B (no solution because the two 9x's cancel out).
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