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2 years ago

How do I solve this problem??

Mathematics

1 answer:

choli [55]2 years ago

3 0

They're the same like integers.
First you should interpret it.
For example:
a. -3x + 8x is the same like -3 + 8. You just add x.
Which is 5x.

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

2 years ago

Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of

saw5 [17]

Answer:

Osvoldo did not meet his goal

Step-by-step explanation:

To know the percentage of carbohydrates that Osvoldo ate from grains with respect to the total, we simply have to divide the amount of carbohydrates he got with the grains by the total

55 / 220 = 0.25

then to express it as a percentage this number has to be multiplied by 100

0.25 * 100 = 25%

Osvoldo wanted to reach 30% and only got 25%

25% < 30%

4 0

2 years ago

If BC = 6 and AD = 5, find DC.

Yanka [14]

Answer: DC = 4

Step-by-step explanation: Because it is going 1 subtract everytime

4 0

2 years ago

A circular piece of wood has a circumference of exactly 60.5 inches. Which measurement is closest to the radius, in inches, of t

DochEvi [55]

Answer:

the answer is 95.0 i took the quiz Yesturday.

Step-by-step explanation:

3 0

2 years ago

What is less then -1 and greater then -5

FrozenT [24]

Answer:

I need to see the points. However the numbers:

-2, -3, -4 will work.

Step-by-step explanation:

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3 years ago