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3 years ago

Solve for x 4.5 (8 - x) + 36 = 102 - 2.5 (3x + 24)

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

Answer:

x = -10

Step-by-step explanation:

expand

simplify 36 - 4.5x + 36 to -4.5x + 72

simplify 102 - 7.5x - 60 to -7.5x + 42

add 7.5x to both sides

simplify -4.5x + 72 + 7.5x to 3x + 72

subtract 72 from both sides

simplify 42 - 72 to -30

divide both sides by 3

simplify 30/3 to 10

Answer: x = -10

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Find the value for x in the rectangular prism. Use exact values.

Svetlanka [38]

Answer:

x = 2 $\sqrt{66}$

Step-by-step explanation:

x = $\sqrt{2^2+8^2+14^2}$

= $\sqrt{4+64+196}$

= $\sqrt{264}$

= 2 $\sqrt{66}$

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3 years ago

Lena has 32 pens. 3/4 of the pens are blue. How many blue pens does Lena have?

melomori [17]

Answer:

24 pens are blue

Step-by-step explanation:

32 pens in total and 3/4 of it are blue.

32 ÷ 4 = 8

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3 years ago

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Mice21 [21]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

For every quarter he spends, Reggie receives 50 food pebbles to feed the fish. Reggie has thrown 350 food pebbles into the fish

deff fn [24]

Answer:

7 quarters are spent for throwing 350 food pebbles in pond.

Step-by-step explanation:

Given:

Reggie receives 50 food pebbles for every quarter he spends.

Number of food pebbles he has = 350

Let the number of quarters spent for 350 pebbles be 'x'.

Now, using proportion and cross multiplication method, we can find 'x'.

1 quarter is equivalent to 50 pebbles thrown in pond.

So, 'x' quarters is equivalent to 350 pebbles thrown in pond.

$\frac{1}{50}=\frac{x}{350}\\\\Cross\ multiplying\\\\50x=350\\\\x=\frac{350}{50}\\\\x=7$

So, 7 quarters are spent for throwing 350 food pebbles in pond.

6 0

3 years ago

Which of the expressions below has a 1 in the thousandths place of the sum? Select all that apply. A) 32.474 + 16.577 B) 23.452

Paraphin [41]

Answer:

A) 32.474 + 16.577

= 49.051

C) 19.213 + 4.578

= 23.791

Step-by-step explanation:

Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.

A) 32.474 + 16.577

= 49.051

B) 23.452 + 31.561

= 55.013

C) 19.213 + 4.578

= 23.791

D) 8.128 + 9.192

= 17.32

We have to find the expression which contains 1 in the thousandths place in the sum.

We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.

Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.

6 0

3 years ago