MATHEMATICS MIDDLE SCHOOL

A parallelogram has an area of 396 square centimeters and a height of 18 centimeters.What is the length of the base of the parallelogram?

Answers

Answer 1
Answer: The length of the base of the parallelogram is 22 cm.

Given:
Area = 396 cm²
height = 18 cm

Area of a parallelogram is computed by multiplying its base to its height.

A = bh
396 cm² = b * 18cm
396 cm²/18cm = b
22 cm = b

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Selma hypothesizes that the mass of a sample of water will not change if it is frozen. She conducts an experiment to test her hypothesis. Her experimental steps are as follows:1. Fill a beaker with 500 mL of water.
2.
3. Place the beaker in the freezer.
4. After the water freezes, place the beaker on the balance and measure its mass.

Which of the following steps is missing from Selma's experiment?

Place the beaker on the balance and measure its mass.
Run the water through a filter to make sure there are no impurities in it.
Set a timer for 2 hours.
Use a thermometer to measure the water's temperature.

Answers

place a beaker on a balance and measure the mass

Answer:

place the beaker on the balance and measure its mass.

Step-by-step explanation:

In order to see if the mass of the water changed, Selma first needs to find out what the mass of the liquid water is in order to compare it to the mass of the frozen water.

What is the quotient of 13 and z

Answers

 13÷z=13/z or 13 over z 
13/z
or
13 ÷ z
..........

7m+8=71 how do I answer this question it's a two-step equation ​

Answers

Answer:

m=9

Step-by-step explanation:

It's very simple.

First, you have to subtract 8 to both sides.

7m+8=71

      -8  -8

Then, once you've subtracted, your left with 7m= 63. Now you have to divide to both sides.

7m= 63

  7     7

In conclusion, once you've divided, you are left with your answer.

m=9

Answer:m=9

Step-by-step explanation:

Subtract 8 from 8 and 71 so 8 cancels out and 71-8=63 63/7=m. 7m+8=71

-8. -8

7m=63

/7. /7

M=9

The first AMC 8 was given in 1985 and it has been given annually since that time. Samantha turned 12 years old the year that she took the seventh AMC 8. In what year was Samantha born?

Answers

the seventh year is 1985 + 7 = 1992

if she was 12 years old in 1992, then 12 years earlier is 1980 - the year of her birth

answer is 1980
12-7=5

1985-5=1980

Samantha was born in 1980.

Write the decimal expansion for 8 over 33

Answers

8:33=0.24242424...=0.(24)

Answer:

0.2424242424242424...

Step-by-step explanation:

8/33=0.2424242424...

Gary bought a gift for his friend and is having it gift wrapped at the store. The wrapping paper comes in four patterns: floral, spiral, cartoon character, and plain. For ribbon, he can choose between red, blue, or green. If Gary randomly selects a paper pattern and a ribbon color, what is the probability that he chooses spiral-patterned paper and a green ribbon?

Answers

Answer:  \text{P(spiral-patterned paper and a green)}=(1)/(12)

Step-by-step explanation:

Given: The number of patterns in wrapping paper = 4

The number of colors available for ribbon = 3

Then, the total number of types of ribbons are in store =4*3=12

Also, the number of type of ribbon has spiral-patterned paper and a green in color =1

So, if Gary randomly selects a paper pattern and a ribbon color, then the probability that he chooses spiral-patterned paper and a green ribbon is

\text{P(spiral-patterned paper and a green)}=(1)/(12)

Answer:

Given: The number of patterns in wrapping paper = 4

The number of colors available for ribbon = 3

Then, the total number of types of ribbons are in store =

Also, the number of type of ribbon has spiral-patterned paper and a green in color =1

So, if Gary randomly selects a paper pattern and a ribbon color, then the probability that he chooses spiral-patterned paper and a green ribbon is
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