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PolarNik [594]
3 years ago
14

Solve the equation:

}{9}" alt="\frac{21 - 4x}{9}" align="absmiddle" class="latex-formula"> + \frac{8x + 15}{3} = 2
Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

x = -\frac{12}{5}

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.  

1) Multiply both sides by 9 to get rid of the fractions.  

\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\

2) Distribute the 3 to 8x and 15. Then, combine like terms.

21-4x + 24x + 45 = 18 \\66 + 20x = 18

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}

Thus, x = -\frac{12}{5}.

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6+8x/2=5x what does x =
Zielflug [23.3K]

Answer:

The answer is x=6

6 0
3 years ago
Read 2 more answers
Carly has 15 stuffed animals. How many ways are there to organize her top 3 favorites?
Ivanshal [37]
Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
\frac{n!}{(n-r)!}
Where n is the number of items you have, and r is the number of times you choose from the items.
\frac{15!}{(15-3)!}
Which simplifies to
\frac{15!}{(12)!}
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.

Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
\frac{n!}{r!(n-r)!}
The  variables are still the same, but you are now multiplying by r!.
\frac{15!}{3!(15-3)!}
Simplifies to
\frac{15!}{3!(12)!}
Which simplifies to (using the same cancellation method above)
\frac{2730}{3!}
Dividing 2730 by 3! will get us an answer of 455.

Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.

:)
4 0
3 years ago
She can make 4 basketballs in 1/2 hours.how many in 5 hours?
svetoff [14.1K]

Answer: 40

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
19)
Elena-2011 [213]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

3(x + 2) + x = 2x + 16

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20

Putting x = 3

3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22

Putting x=4

3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24

Putting x = 5

3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

6 0
2 years ago
Help me pls pls i am struggling i will give u brainliest ​
s2008m [1.1K]

<em>Answer:</em>

<em>Hello There. The answer is 268</em>

Explanation

He spend £140 for 60 jumper

He sells 40%of jumper at £8 for each.

40%of 60

= 40/100 × 60

= 24 jumper

=sells at £8

= 24 ×8 =£192

After ,he sell buy 1 get one half price offer.

Ryan have 60% jumper of 60

= 36/2×8 +36/2×4

=144 + 72

= £216

Total earning= £192 + £216

=£408

So, profit = 408 - 140 = £268

Hope It Helps!

<h3>ItsNobody</h3>
3 0
3 years ago
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