MATHEMATICS MIDDLE SCHOOL

Write the standard form of the line that passes through the point (-2,4) and is parallel to x-2y=6

Answers

Answer 1
Answer:

Answer:

x - 2y + 10 = 0

Step-by-step explanation:

The equation of parallel line differ only by their constant.

Hence, the equation of the line parallel to x - 2y - 6 = 0 is nothing but  x - 2y + c = 0.

When a point passing through this line is given we can substitute the point in this line and get the value for c.

The line passes through (-2, 4).

Therefore, we have: -2 - 8 + c = 0 \implies c = 10

Substituting this we get the equation of the parallel line as x - 2y + 10 = 0.

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Please answer number 3
One cup hold 8 ounces of liquid if a cup is 2/3 full how many ounces are in the cup?
Find the missing value. Hint: Use the number line to find the missing value. -4 = (Blank) -9

Describe the rays of an angle that measures 1/2 turn

Answers

180 turns because a whole turn is 360 and half of that is 180 degrees which is a straight angle
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Write 10/6 as a mixed number in simplest form

Answers

10/6 = 6/6 + 4/6 = 1 + 4/6 = 1 + 2/3

So, the simplest mixed number equaling 10/6 is 1  2/3.
1 and 2/3 is you mixed number. You just do 10 divided by 6 then if u have left overs then u you put it over the denominator

Eight less than four times the sum of a number and 3 is 16

Answers

the number is 6.....

During practice, the Northwood football team drinkswater from a cylindrical cooler that has a radius of 6
inches and a height of 20 inches. Players use conical
paper cups, as shown below.
If the water cooler is filled completely, can each of the
38 players have two full paper cups of water during
practice? Explain
4.4 in.
O No, because there is enough water in the cooler for
about 3 cups total.
No, because there is enough water in the cooler for
about 59 cups total
5.5 in.
Yes, because there is enough water in the cooler
for about 81 cups total.
Yes, because there is enough water in the cooler
for about 2,261 cups total.

Answers

The radius and height of the cooler of 6 and 20 inches respectively, can

contain approximately only 81 cups, the correct option is therefore;

  • Yes, because there is enough water in the cooler for about 81 cups total

How can the correct option be found?

The dimensions of the cooler are;

Radius = 6 inches

Height = 20 inches

The possible dimensions of a cup are;

Diameter = 4.4 inches

Height = 5.5 inches

Required:

If each of the 38 players have 2 paper cups filled with water.

Solution;

The volume of the cooler, V₁, is found as follows;

V₁ = π × 6² × 20 = 720·π

The volume of the cooler, V₁ = 720·π in.³

The volume of the paper cup, V₂, is; V_2 = (1)/(3) * \pi * \left((4.4)/(2) \right)^2 * 5.5 = 8(131)/(150) \cdot \pi

The volume of the paper cup, V₂ = 8(131)/(150) \cdot \pi in.³

The number of cups, n, in the cooler of water is therefore;

  • n = (720 \cdot \pi)/(8 (131)/(150) \cdot \pi ) \approx \mathbf{ 81.14}

The number of cups of water in the cooler ≈ 81 cups

The number of cups required for each of the 38 player to have two full cups is, Cups = 38 × 2 = 76 cups

Given that the water available, (approximately 81 cups) is more than the

number of cups required (76 cups), the correct option is option;

  • Yes, because there is enough water in the cooler for about 81 cups total

Learn more aboutthe volume of a cone here:

brainly.com/question/4308629

Answer:

The third option (C) Yes, because there is enough water in the cooler for about 81 cups total.Step-by-step explanation:

A number is chosen at random from 1 to 10.Find the probability of not selecting a multiple of 3.

Answers

the probability is 9/10 or 90%
First, you need to figure out how many of the numbers are multiples of 3. The numbers 3, 6, and 9 are all multiples of three, so three numbers are thrown out of the probability. 

There are now 7 numbers left. Your probability is out of ten, so there is a 7/10 of a chance to  not  pull a number that is a multiple of 3.

Whats the quotient for 130.715 divided by 4.022

Answers

Answer:

32.5

Step-by-step explanation:

I just divided

Answer:

32.5

Step-by-step explanation:
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