MATHEMATICS MIDDLE SCHOOL

How do you break apart 3x5

Answers

Answer 1
Answer: their are two ways one way is 5+5+5=3x5 0r another way 3+3+3+3+3

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5x+15y=10 5x-10y=-40

Answers

{ 5x + 15 y = 10
  5x  - 10 y = -40  * (-1)

{ 5 x + 15 y = 10
  -5 x + 10 y = 40
------------------------
             25 y = 50
                   
                 y = 50 / 25
                 
                 y = 2

For x :

5 x + 15 y = 10

5 x + 15*(2) = 10

5x + 30 = 10

5x = 10 - 30

5x = -20

x = -20 / 5

x = - 4

hope this helps!.
5(2y-8)+15y=10= 25y=50= Y=2
x=2y-8 and Y= 2
X=2(2)-8=-4
(X,Y)= (-4,2)

In the xy plane, what is the y intercept of the graph of the equation y=2 (x+3)(x+4)?

Answers

The y-intercept is the value of y when the graph intersects the y-axis.  Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:

y=2(0+3)(0+4)

y=2(3)(4)

y=24

Therefore, 24 is our answer.

Hope I helped :)

The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?

Answers

Let's see, an example of a reciprocal of a fraction less than 1 would be something like this: 1/8, after the reciprocal it will become 8/1.
8/1 equals 8 therefore is larger than 1.

This will always happen because as long as the denominator(the bottom) is larger than the numerator, the reciprocal(flipping the numbers) will make it larger than 1.
Here are some examples of reciprocals: 1/2 becomes 2/1.  1/3 becomes 3/1. 1/4 becomes 4/1.  Just swap the two numbers and the number that it becomes will be automatically larger than 1.

How many liters is 250,000 cm3?

Answers

Once cubic centimeter = 1 milleter

1 mL = 1000 L

250,000 ÷ 1000 = 250

There are 250 liters in 250,000 cubic centimeters.
it's 250 because 1 liter 1000 and 250 multiply by 100 is 250 000.

How do I solve 4x + 3y=0 & 2x + y = -2 using substitution

Answers

4x + 3y = 0
2x + y = -2
take 2x and subtract to the side with -2
it'll look like this: y = -2x - 2
plug that equation in where the y is in the other equation.
it'll look like this: 4x + 3(-2x - 2)=0
which you multiply 3 and the -2x and the -2
which the equation would be: 4x - 6x - 6=0
put together like terms: -2x - 6=0
add the 6 to the side with the zero: -2x = 6
divide both sides by -2 which x= -3
to get y you plug in the answer for x (-3)
2(-3)+y= -2
so it'd then be -6 + y = -2
add the -6 to the side with -2
y= -2 +6
y= 4
so your complete answer is ( -3, 4)

Round 23,421 to the nearest thousand and ten thousand on a number line

Answers

nearest thousand: Look at the place value to the right of thousands, the hundreds place value. It is a 4. Because 4 is less than 5, round down.

nearest thousand: 23000

Nearest ten thousand: Look at the place value to the right of the ten thousands, which is the thousands place value. It is a 3. Because 3 is less than 5, round down

nearest ten-thousand: 20000

hope this helps
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