MATHEMATICS MIDDLE SCHOOL

What is 500 divided by 10

Answers

Answer 1

Answer: 500 divided by 10 =50

Answer 2

Answer:

Answer:

500 divided by 10 is 50

Step-by-step explanation:

think of it this way you divide anything that's in the hundreds with 10 all you have to do is take away a zero and that's your answer

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Which of these equations is for a line perpendicular to y-3=5(x-2)?

Answers

Answer:

Step-by-step explanation:

y-3=5(x-2) (rearrange this to be in slope- intercept from) (add 3 to both sides)

y = 5(x-2) + 3 (distribute parentheses)

y = x(5) - 2(5) + 3

y = 5x -10 + 3

y = 5x - 7

recall that for a line with gradient m, the gradient of the perpendicular line will be - (1/m)

hence in our case, our gradient of the original line is 5, hence the gradient of the perpendicular line is -1/5

From the choices, the only one that is consistent with this is C

i.e choice C:

5y + x = 25

5y = -x + 25

y = -(1/5) x + 5 ===> gradient of -1/5

How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

Answers

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

What is the answer and work to 15% of 375

Answers

$15percent = .15 \n.15*375= 15percentof 375 \n\boxed{56.25}$

A triangle has side lengths of 10 inches, 24 inches, and 26 inches. is this a right triangle?

Answers

To check it we can use Pythagorean theorem.
$a^2+b^2=c^2$ , where c is the longest side.
Lets check it
Assume that a=10 and b= 24
$10^2+24^2=100+576=676$
Now lets compare with c^2=676
Its equal, so its right triangle.

What are the first seven multiples of 6, 7, 8, and 9.

Answers

The first seven multiples of those numbers are:

First 7 multiples of 6: 6, 12, 18, 24, 30, 36

First 7 multiples of 7: 7, 14, 21, 28, 35, 42

First 7 multiples of 8: 8, 16, 24, 32, 40, 48

First 7 multiples of 9: 9, 18, 27, 36, 45, 54

write an equation in standard form for a line that is parallel to the line with an equation of y=3x-5 that passes through the point (8,5).

Answers

Answer:

The standard form of the equation is -3x + y = -19

Step-by-step explanation:

To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.

y - y1 = m(x - x1)

y - 5 = 3(x - 8)

y - 5 = 3x - 24

-3x + y - 5 = -24

-3x + y = -19

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