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djyliett [7]
3 years ago
13

Solve for x: two thirds(x − 2) = 4x.

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0

Answer:

x =  - 0.4

Step-by-step explanation:

\frac{2}{3} (x - 2) = 4x

Expand with the distributive rule:

\frac{2}{3} x -  \frac{2}{3}  \times 2 = 4x

\frac{2}{3} x -  \frac{4}{3}  = 4x

Add 4/3 to both sides:

\frac{2}{3} x = 4x +  \frac{4}{3}

Subtract 4x from both sides

- \frac{10}{3} x =  \frac{4}{3}

- 10x = 4

x =  - 0.4

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In Juan's coin bank there are nickels (n),
alukav5142 [94]

Answer:

The answer is 8 quarters, 16 nickles, and 32 dimes

Step-by-step explanation:

  1. First, the equation would be (2/4d) x 5 +d x 10 +1/4d x 25= 600 (Don't put 6.00, that's dollars. We put 6 dollars into cents to make it easier.)
  2. Then we slowly start to solve: 10/4d + 10d + 25/4d = 600
  3. 10d+40d+25d/4 = 600 (Put all of that over 4, not first 25d)
  4. 75d= 600 x 4
  5. d=600 x 4/75 (same here put everything over 75)
  6. d=32
  7. So then n= 2 x 32/4 = 16
  8. Then n would be equal to : 1/4d= 1/4 x 32 = 8
  9. So your answer would be 8 quarters, 16 nickles, and 32 dimes.

Hope this helped :)

5 0
3 years ago
Multiply (x + 14)(x + 15). What is the product?
Contact [7]

Answer:

x^2+29x+210

I hope this helps! I did this through the FOIL method. :)

5 0
3 years ago
A bowl contains 6 red balls, 4 blue balls, 3 white balls and 1 green ball. You pick two balls without replacement. a) What is th
Kay [80]

Answer:

3.5

Step-by-step explanation:

you want to add all of the balls together and then divide by 4 because that's how many color  balls there are

7 0
4 years ago
-4(10-a)=36 what the steps
SpyIntel [72]

Hey there!☺

Answer:\boxed{a=19}

Explanation:

-4(10-a)=36 Equation

−4(10 − a) = 36  Simplify both sides

(−4)(10) + (−4)(−a) = 36 Distribute

−40 + 4a = 36

4a − 40 = 36

4a - 40 + 40 = 36 + 40 Add 40 to both sides

4a = 76

4a/4 = 76/4 Divide both sides by 4

76/4 = 19 Simplify 76/4

a = 19

Hope this helps!

8 0
3 years ago
Simplify (-6)^5 how do you simplify the the exponent expression
Papessa [141]
X^m means x times itself m times

(-6)^5 means -6 time itself 5 times
simplify it says
remember that
(mn)^x=(m^x)(n^x)
undistribute the -1
(-6)^5=(-1)^5 times (6^5)
(-1)^5=-1 since it is odd power
can be simplified to
-6^5
(note, -6^5 vs (-6)^5 PEMDAS)
5 0
3 years ago
Read 2 more answers
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