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2 years ago

Solve for x: 4(x + 4) = 6(x - 2) O A. x = 9 B. x = 14 O C. x = 8 D. x = 1

Mathematics

2 answers:

ad-work [718]2 years ago

5 0

Answer: 14 = x

Step-by-step explanation: Start by distributing through the parenthses

on each side of the equation to get 4x + 16 = 6x - 12.

Now move your x's to the right and numbers

to the left and you get 28 = 2x.

Divide both sides by 2 and 14 = x.

BigorU [14]2 years ago

4 0

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4(x + 4) = 6(x - 2)

Step 2: Solve for x

Distribute: 4x + 16 = 6x - 12
Subtract 4x on both sides: 16 = 2x - 12
Add 12 on both sides: 28 = 2x
Divide 2 on both sides: 14 = x
Rewrite: x = 14

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(14 + 4) = 6(14 - 2)
Add/Subtract: 4(18) = 6(12)
Multiply: 72 = 72

And we have our final answer!

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3 years ago

Which point lies on the line with point-slope equation y-3 = 4(x+7)?

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2 years ago

PLSS HELP

Dmitry [639]

Answer:

$8,000

Step-by-step explanation:

Let the store earned $x in December.

Therefore,

Money spent to buy new inventory $=\frac{1}{4} x$

Remaining money $= x - \frac{1}{4} x =\frac{3}{4} x$

Money used to pay bills $=\frac{1}{2} \times \frac{3}{4} x=\frac{3}{8} x$

Money still left over = $3,000

Total money earned in December $= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{1}{4} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{2}{8} x+ \frac{3}{8} x+3,000$

$\therefore x= \frac{5}{8} x+ 3,000$

$\therefore x- \frac{5}{8} x=3,000$

$\therefore \frac{8x-5x}{8} =3,000$

$\therefore \frac{3x}{8} =3,000$

$\therefore x =3,000\times \frac {8}{3}$

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3 0

2 years ago

Helpppp plzzz The frequency histogram shows the lengths of trails in a large park.

Rus_ich [418]

Answer:

13 trails

Step-by-step explanation:

The histogram shows following numbers of trails:

0 - 6 km long - 5 trails;
6 - 12 km long - 9 trails;
12 - 18 km long - 7 trails;
18 - 24 km long - 3 trails;
24 - 30 km long - 4 trails;
30 - 36 km long - 1 trail;
36 - 42 km long - 3 trails.

So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.

In total, 5 + 8 = 13 trails

8 0

2 years ago