MATHEMATICS MIDDLE SCHOOL

Work orUse the distributive property or the area model to write an expression that is equivalent
to 8(3x + 4).
a. 24x + 4
b. 3x + 32
c. 24x + 32
d. 11x + 12

Answers

Answer 1

Answer:

k (a+b) = ka+kb

so : 8 (3x+4) = 8*3x +8*4 = 24x +32

Answer 2

Answer:

Answer:

24x +32

Step-by-step explanation:

8 times 3 is 24 and 8 times 4 is 32.

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jimmy has a pocket full of nickels ans quarters. there are a total of 50 coins. when he added it all up he had $5.30. how many nickels did he have?

Answers

nickel is x
quarter is y
x + y = 50 coins
5x + 25y =530 cents
if x =49
5 × 49 = 245 + 25 = 270
if x = 45
5 × 45 = 225 + (25 × 5) = 350
if x = 40
5 × 40 = 200 + (25 × 10) = 450
if x = 36
5 × 36 = 180 + (25 × 14) = 530

There will be 36 nickels and 14 quarters.

How do you simplify 420/1980?

Answers

the answer is
84/396
divide them both by five
hope it helps.

105/495

I think that is the answer

One sixth of thirty-six hundredths is less than two-tenths less than four

Answers

one sixth of 36 hundreths is 6 thousands which is 3.994 less than four meaning that answer is false.

An 8-ounce cup of gourmet coffee costs $4.50. If the unit price remains the same, how much would 3 quarts of coffee cost?

Answers

Since there are 32 fluid ounces in 1 quart and we need 3 quarts we multiply 32 and 3 and get the result of which is 96 we need to divide that by eight to get the correct number to multiply 4.50 by so we get the result of 12 now it is 12 times 4.50 which is 54 so it costs 54 dollars. I hope this was helpful.

1 quart = 32 fl oz.
This means that if there are 3 quarts, and each quart contains 32 ounces, 3 quarts have 96 ounces.
3 quarts * 32 oz = 96 oz

Now, set up a proportion.
8 oz is to $4.50 as 96 oz is to "x"

8 oz = $4.50
96 oz = x

Cross multiply to solve.

4.50 * 96 = 8x
432 = 8x
Divide both sides by 8:
x = 54

3 quarts of coffee would cost $54.
This doesn't make sense in a real life situation, but I'm confident that it is correct.

1.01 as mixed number in simplest form

Answers

Answer: 1 and 1/100

Step-by-step explanation: using the place value chart, we can see that 1.01 means 1 unit, 0 tenths, and 1 hundredth. Think of 0 tenths and 1 hundredth as 1 hundredth.So, we have 1 and 1 hundredth which can be written as the mixed number 1 and 1 hundredth or 101/100.

1 1/100

.01 is the same as saying "one hundredth"

PLEASE HELP I GIVE THANKS