MATHEMATICS MIDDLE SCHOOL

The value of y varies directly with the value of x, and y = –8 when x = 4. Which equations represent the relationship between y and x?

Choose exactly two answers that are correct.

A. y/x = 1/2
B. y/x = -2
C. -2x = y
D. x = 2y

Answers

Answer 1
Answer: B. y/x = -2 D. x = 2y might be right or wrong but i think they are right

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Sandy has $200 in her bank account. If she writes 6 checks for exactly $19.98, what expression describes the change in her bank account?

Answers

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Numerical expression add 8 and 7 and then multiply by 2​

Answers

Answer:

(8+7)*2

(15)*2

30

Answer:

2(8+7)

Step-by-step explanation:

3. An airplane flies 105 miles in ½ hour. How far can it fly in 1 ¼ hours at the same rate of speed?

Answers

262.5 miles
explanation 1/4 is half of 1/2 so 52.5 is half of 105 and then 210 for an hour of travel

Answer:

105 at 30 min.

x at 75 min.

105 mph x 2 = 210 mph at one hour

There is still 15 min to go soooo...

210/4 = 52.5

210 + 52.5 = 262.5 mph for 75 min

Check by dividing

262.5/75=3.5

How do you simplify 11c + 3(-5c + 4d)?

Answers

Well first just multiply the things in the parenthesis by 3 and get -15c + 12d and then subtract 15 from 11 (because of the c) and get -4c +12d

Answer:

-4c+12d

Step-by-step explanation:

11c + 3(-5c + 4d)

11c-15c+12d

-4c+12d

Describe all situation where verticals angles are also supplementary?

Answers

see my previous answer to this same question. the vertical angles have to be right angles

To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.

Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.

A rectangle has length 3 feet and width 1/4 foot. What is the area of the rectangle?

Answers

Area=width*length\n\nlength=3ft\nwidth=(1)/(4)ft\n\n Area=3*(1)/(4)=(3)/(4)ft^2\n\nArea\ of\ rectangle\ is\ equal\ to\ (3)/(4)ft^2.
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