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4 years ago

How many solutions does the equation have?

1 answer:

6 0

4x + 2x - 6 = 8x + 12
Distributive property

6x - 6 = 8x + 12
Combine like terms

(6x - 6x) - 6 = (8x - 6x) + 12
-6 = 2x + 12
Subtract

-6 - 12 = 2x (12 - 12)
-12 = 2x
Subtract again

-12/2 = 2x/2
Divide

-6 = x

One solution

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PLEASE HELP IS THIS RIGHT??????????AND EXPLAIN PLZZ

Anit [1.1K]

Add like terms

-4x+x=-3x
6-2=4

So the simplified term is 4-3x

6 0

4 years ago

Juanita spent $9 on each of her 6 grandchildren at the fair. How much money did she spend? Juanita gastó $9 en cada uno de sus 6

Elena-2011 [213]

Answer:

$54

Step-by-step explanation:

she had 6 grandchildren and she used $9 for one grandchild so we multiply

9 x 6 = $ 54

6 0

3 years ago

Amy, Bruce, and Carlos collected a total of 168 pounds of cans to recycle. Bruce collected 1/3 the number of pounds of cans Carl

MakcuM [25]

Answer:

$c = 63\\b=21$

Step-by-step explanation:

Let number of pounds of cans collected by Amy = $a$

Let number of pounds of cans collected by Bruce = $b$

Let number of pounds of cans collected by Carlos = $c$

As per question statement, total number of cans collected = 168

$a+b+c=168$ ..... (1)

Number of pounds collected by Bruce is $\frac{1}{3}$ rd of the pounds of cans collected by Carlos.

$b = \dfrac{1}{3}c ..... (2)$

Number of pounds collected by Amy is equal to number of pounds collected by Bruce and Carlos combined.

$a = b+c$

Using equation (2):

$a = \dfrac{1}{3}c +c \\\Rightarrow a =\dfrac{4}{3}c ..... (3)$

Using equations (2) and (3) in equation (1), we get:

$\dfrac{4}{3}c+\dfrac{1}{3}c+c =168\\\Rightarrow \dfrac{8}{3}c = 168\\\Rightarrow c =63$

Using equation (2):

$b = \dfrac{63}{3} = 21$

5 0

3 years ago

Simplify log(10a)+log(100a)

KengaRu [80]

One rule of logs is when you add logs, u can combine the parentheses by multiplying so..

log(10a) + log(100a)
log(10a × 100a). now multiply
log(1000a^2)

hope this helps C:

6 0

3 years ago

Read 2 more answers

The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction. A rectangle has a length of 15 and width

marusya05 [52]

<u>Given</u>:

The rectangle has been reduced by a scale of $\frac{1}{10}$