MATHEMATICS MIDDLE SCHOOL

Which of the following are square roots of the number below? Check all thatapply.
100
A. 10
B. 1001/2
C. 5
D. -1001/2
E. -10
E. 50

Answers

Answer 1

Answer:

The square root of the number 100 will be 10 so option A is correct.

What is a perfect square?

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We have been given a number 100.

In order to find the square root of the number;

$√(100) \n\n√(10 * 10) \n\n10$

Thus, the square root of the number 100 will be 10 so option A is correct.

Learn more about cube root here:

brainly.com/question/16048106

#SPJ2

Answer 2

Answer: The Answer is C. 5 D. -1001/2 F. 50

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A delivery truck with a 400-pound weight limit is transporting televisions & microwaves. Define variables & write an inequality for this situation. Will the truck be able to deliver 35 televisions & 25 microwaves at once? Write two possible solutions to the inequality. Are there solutions that make the inequality mathematically true, but are not reasonable in the context of the problem? Explain.

Answers

So the inequality would be 77x+55y≤4000. x is the number of TV's and y is the number of microwaves. For the second part plug in 35 for x and 25 for y. So you get 77×35+55×25≤4000.
2625+1375≤4000
4000=4000 so the answer to that part is yes.
One unreasonable solution is (0,0) (TV's,microwaves) because that would mean the truck is empty. Another one is (1,71) because that would be only one TV and 71 microwaves.

I need this for tonight!! Please help, 50 points for first answer

Answers

17). 3x + 1 < 10

Subtract 1 from each side: 3x    < 9

Divide each side by 3 : x < 3

18).    (x) (y) - 3

x = -2
y = -4 (-2) (-4) - 3

   =    ( 8 ) - 3

   = 5

17.) x<3
so we started out with our equation below
3x + 1 < 10 in order to find x we have to get it alone..................so lets subtract the 1 - 1 < - 1 from both sides
awesome it cancels out on the left hand side. and the right side of the equation is now 9. lets rewrite what our equation looks like now.
3x < 9 from here its simple we divide 3 by both sides to get x alone
/3 /3 the 3s on the left side are canceled out now. lets solve the rest:)
x < 3
your answer is x is less than 3 :)

18.)now for this equation we just need to plug in our value for x and y
yx - 3 is our equation so what would we do if we knew what x and y were?
they give us the numbers x = -2 and y = -4
so lets plug them in with parentheses:)
(-4)(-2) - 3
first lets multiply the -4 and -2 together
-4 x -2 = 8!!
so in their place lets put 8
8 - 3 looks simple now. right?
8 - 3 = 5
your answer to 18 is 5!!
hope this helps you out:)

if the area of a parallelogram is 86cm and the height is 12cm write an equation that relates the height,base and area of the parallelogram

Answers

Answer:

The relation to find base is, $base=(area\ of\ the \ parallelogram)/(height)=(86)/(12)=7.16\ cm$

Step-by-step explanation:

Given

Area of the parallelogram $=86\ cm^2$

Height of the parallelogram $=12\ cm$

We know that the area of the parallelogram $=base* height$

To find base we have to divide the height on both sides of the equation.

$base=(area\ of\ the \ parallelogram)/(height)$

Plugging the values.

$base=(86)/(12) =7.1\ cm$

So the base in terms of area of the parallelogram and its height is $b=(area)/(height) =(86)/(12)=7.16\ cm$

Critical Thinking If a vertex of a square moved from (11, 9) to (6, 4), which of the following describes the translation? C 5 right, 5 up A 5 left, 5 up B 5 left, 5 down D 5 right, 5 down

Answers

The answer would be B, 5 left, 5 down. The reason behind this is that x coordinates increase as you move to the right and decrease as you move to the left. The same is true with y coordinates and up and down respectively.

So if the vertex moved from x=11 to x=6, then the x coordinate decreased, so it moved to the left by 5 (11 - 6 = 5).

Also if the vertex moved from y=9 to y=4, then the y coordinate also decreased, so it moved downward by 5 (9 - 4 = 5).

What multiples of 4 are not factors of 48?

Answers

Multiples of four:
4, 8, 12, 16, 24, 28, 32, 36

Is 4 a factor of 48?
48/4=12
Yes, so that means 4 is not the answer.

Is 8 a factor of 48?
48/8=6
Yes, so that means 8 is not the answer.

Is 12 a factor of 48?
48/12=4
Yes, so that means 12 is not the answer.

Is 16 a factor of 48?
48/16=3
Yes, so that means 16 is not the answer.

Is 24 a factor of 48?
48/24=12
Yes, so that means 24 is not the answer.

Is 28 a factor of 48?
48/28= irrational number
No, so that means 28 is the answer.

Is 32 a factor of 48?
48/32= irrational number
No, so that means 32 is the answer.

Is 36 a factor of 48?
48/36= irrational number
No, so that means 36 is the answer.

Answer: 28, 32, 36

There is 20, then there's bunches of even numbers after the number 48. Also there's 28, 32, 36, 40 and 44.
Hope this helps!:)

Find the approximate volume of the cylinder shown in the diagram.