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4 years ago

Solve 3(3x - 6) = 18

Mathematics

2 answers:

Genrish500 [490]4 years ago

4 0

Steps to solve:

3(3x - 6) = 18

~Distribute left side

9x - 18 = 18

~Add 18 to both sides

9x = 36

~Divide 9 to both sides

x = 4

Best of Luck!

True [87]4 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

Let's work on isolating (3x - 6). Start by dividing both sides of 3(3x - 6) = 18 by 3, obtaining:

3x - 6 = 6.

Next, add 6 to both sides:

3x = 12

Finally, divide both sides by 3:

x = 4

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UnansweredIf Measure of angle a is 155°, what is Measure of angle c?

Gnom [1K]

Answer: 155°

because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°

Step-by-step explanation:

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3 years ago

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

laiz [17]

<u>Answer-</u>

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

$\binom{19}{3} = \frac{19!}{3!16!} = 969$

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

$\binom{33}{6} = \frac{33!}{6!27!} =1107568$

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

$\binom{52}{9} = \frac{52!}{9!43!} = 3679075400$

∴P(3 white candies) = $\frac{1073233392}{3679075400} =0.29$

Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

6 0

4 years ago

Discount tickets to a basketball tournament sell for $4.00 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he

Paraphin [41]

Option C : $6.50 is the right answer

Step-by-step explanation:

Given

Price of one discounted ticket = $4.00

Total amount spent on discounted tickets = $60.00

So,

$Total\ tickets = \frac[Total\ price}{Price\ of\ one\ ticket}\\=\frac{60}{4}\\= 15\ tickets$

Hence he bought 15 tickets

Now,

If he had bought without discount he would have paid $37.50 so

Total price without discount will be: $60.00 + $37.50 = $97.50

So,

Price of one ticket before discount:

$\frac{Total\ price\ without\ discount}{Total\ tickets}\\=\frac{97.50}{15}\\=6.5\ dollars$

Hence,

Option C : $6.50 is the right answer

Keywords: Unit price, linear equation

Learn more about unit price at:

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4 years ago

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Degger [83]

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Don't want to do that? OK! I'll do it for you!

Answer: <span>2577.31958575</span>

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4 years ago

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Nana76 [90]

Answer:

BC = 39

Step-by-step explanation:

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3 years ago