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3 years ago

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Solve for x. 2(x + 14) + x = 70a. 11b. 12c. 14d. 17

1 answer:

Mariulka [41]3 years ago

6 0

Hello!

To solve for the variable x, we need to follow the rules of SADMEP. SADMEP is ONLY used when solving algebraic equations. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. Also, when solving for x, our main goal is to isolate x to one side of the equation.

2(x + 14) + x = 70 (use the distributive property)

2x + 28 + x = 70 (simplify - add)

3x + 28 = 70 (subtract 28 from both sides)

3x = 42 (divide both sides by 3)

x = 14

When solving ANY algebraic equation, we need check our answer. To check your answer, you substitute the x-value, which is 14 in this case, into the original equation and solve using PEMDAS.

2(x + 14) + x = 70 (substitute x = 14)

2(14 + 14) + 14 = 70 (simplify the terms inside the parentheses)

2(28) + 14 = 70 (simplify - multiply)

56 + 14 = 70 (simplify - add alike term)

70 = 70 | This is correct!

Therefore, your final answer is x = 14, which is choice C.

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3 years ago

Find the area, in square feet, of a triangle whose base is 42⁄3 feet and whose altitude is 84⁄7 feet. A. 135⁄21 B. 20 C. 40 D. 2

CaHeK987 [17]

Answer:

Option B. $20\ ft^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=\frac{1}{2}bh$

we have

$b=4\frac{2}{3}\ ft$

$h=8\frac{4}{7}\ ft$

Convert mixed numbers to an improper fractions

$b=4\frac{2}{3}\ ft=\frac{4*3+2}{3}=\frac{14}{3}\ ft$

$h=8\frac{4}{7}\ ft=\frac{8*7+4}{7}=\frac{60}{7}\ ft$

substitute the values

$A=\frac{1}{2}(\frac{14}{3})(\frac{60}{7})\\ \\A=\frac{14*60}{2*3*7}\\ \\A=\frac{840}{42} \\ \\A=20\ ft^{2}$

5 0

3 years ago

Read 2 more answers

What’s the volume of one cylinder?

r-ruslan [8.4K]

Answer:

For the first one its: Volume = 402.12in³

For the second one its: Volume = 201.0619 in³

Step-by-step explanation:

For the first one work:

Volume = 3.1416 x 42 x 8

= 3.1416 x 16 x 8

For the second one work:

Volume = 3.1416 x 42 x 4

= 3.1416 x 16 x 4

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3 years ago

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One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters

Solnce55 [7]

<u>Answer:</u>

The cost of one gallon of gas in Toronto, Canada is $3.458.

<u>Solution: </u>

Given, One gallon of gasoline in buffalo, New York costs $2.29.

In Toronto, Canada, one liter of gas costs $0.91.

There are 3.8 liters in one gallon.

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

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3 years ago

Solve for (c).<br><br> 12c−4=14c−10<br> c= ?

kozerog [31]

Answer:

c=3

Step-by-step explanation:

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3 years ago

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