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Vesnalui [34]
3 years ago
9

What is the solution? 6(1/3x+1/3)=3(x+4)

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0

Answer:

x = -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6 (1/3x + 1/3) = 3 (x + 4)

(6)( \frac{1}{3}x) + (\frac{1}{3}) = (3) (x) + (3) (4) (Distribute)

2x + 2 = 3x + 12

Step 2: Subtract 3x from both sides.

2x + 2 − 3x = 3x + 12 − 3x

−x + 2 = 12

Step 3: Subtract 2 from both sides.

−x + 2 − 2 = 12 − 2

−x = 10

Step 4: Divide both sides by -1.

\frac{-x}{-1}  =  \frac{10}{-1}

x = -10

vodka [1.7K]3 years ago
3 0

Answer:

x = -10

Step-by-step explanation:

Perform the indiated multiplication.  Recalling that 6(1/3) = 2, we get:

2x + 2 = 3x + 12

Combining like terms:

-10 = x

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The sum of two rational numbers is what
ludmilkaskok [199]

Answer:

Is rational

Step-by-step explanation:

So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

7 0
3 years ago
Evaluate the expression 7^2/ x^2 - 2 for x = 3
vovikov84 [41]

Answer:

7

Step-by-step explanation:

7²/x²-2 when x=3

49/3²-2

49/9-2

49/7

answer=7

4 0
3 years ago
Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) i
Vaselesa [24]

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

6 0
4 years ago
2.5 pounds of grapes cost $2.25 what is the cost per pound
Sergeeva-Olga [200]

Answer:

$0.9 per pound

Step-by-step explanation:

$2.25 divided by 2.5

3 0
3 years ago
Read 2 more answers
PLZZZZ HELP FAST
babymother [125]

Answer:

They will have values in common

Step-by-step explanation: I GUESSED

5 0
3 years ago
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