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geniusboy [140]
3 years ago
12

Solve the equation 5(x-2)=7(x+4) for x

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

\boxed{\bold{x=-19}}

Step By Step Explanation:

Expand \bold{5\left(x-2\right): \ 5x-10}

Expand \bold{7\left(x+4\right): \ 7x+28}

\bold{5x-10=7x+28}

Add 10 To Both Sides

\bold{5x=7x+38}

Subtract 7x From Both Sides

\bold{5x-7x=7x+38-7x}

Simplify

\bold{-2x=38}

Divide Both Sides By -2

\bold{\frac{-2x}{-2}=\frac{38}{-2}}

Simplify

\bold{x=-19}

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What's the answer to this question= 4(3x + 2) + 2(x + 3)
Serga [27]

Answer:

\huge{ \boxed{ \bold{ \tt{14x + 14}}}}

Option E is the best choice.

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

☯ Question : Simplify

  • 4 ( 3x + 2 ) + 2 ( x + 3 )

☯ Available options :

☐ 12x + 16

☐ 24x + 48

☐ 10x + 2

☐ 14x + 48

☑ 14x + 14

☐ 9x + 5

✎ Step - by - step explanation :

  • \sf{4(3x + 2) + 2(x  + 3)}

Distribute 4 through the parentheses

\dashrightarrow{ \sf{12x + 8 + 2(x + 3)}}

Distribute 2 through the parentheses

\dashrightarrow{ \sf{12x + 8 + 2x + 6}}

Combine like terms. Only coefficients of like terms can be added or subtracted

\dashrightarrow{ \sf{12x + 2x + 8 + 6}}

\dashrightarrow{ \sf{14x + 8 + 6}}

Add the numbers : 8 and 6

\dashrightarrow{ \boxed{ \sf{14x + 14}}}

Hope I helped!

Have a wonderful time ツ

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6 0
3 years ago
#14 write the given sentence as an equation. Tim'S age in 7 years will be three times what it was 19 years ago
kobusy [5.1K]
The first thing we must do for this case is to define variables.
 We have then:
 x = Tim's age
 Now we write the equation:
 x + 7 = 3 (x-19)
 Answer:
 
Tim's age in 7 years will be three times what it was 19 years ago:
 
x + 7 = 3 (x-19)
3 0
3 years ago
0.82 times what =0.0082???
butalik [34]

Answer: 0.01

Step-by-step explanation:

0.0082 / 0.82 = 0.01

0.82 × 0.01 = 0.0082

6 0
3 years ago
Point C has a _____ abscissa and a _____ ordinate.
bulgar [2K]

Abcissa is x, and ordinate is y.

In this case the x is positive, and the y is negative.

Therefore, the answer is "positive, negative"

8 0
3 years ago
Read 2 more answers
Avery and Caden have saved $27,000 towards a down payment on a house. They want to keep some of the money in a bank account that
Thepotemich [5.8K]

Answer:

$6750 in the bank account and $20,250 in the stock fund

Step-by-step explanation:

If B is the money they put in the bank and S is the amount they put in the stock fund, then:

B + S = 27000

1.024 B + 1.072 S = 1.06 × 27000

Solving the system of equations:

1.024 (27000 − S) + 1.072 S = 28620

27648 − 1.024 S + 1.072 S = 28620

0.048 S = 972

S = 20250

B = 27000 − S

B = 6750

They should put $6750 in the bank account and $20,250 in the stock fund.

6 0
3 years ago
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