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2 years ago

Solve for x. 2(2-x) + 12x =44

Mathematics

1 answer:

Nataly [62]2 years ago

8 0

Answer:

2(2-x)+12x=44

4-2x+12x=44

-4 -4

-2x +12x = 40

10x=40

/10 /10

x=4

Step-by-step explanation:

first you multiply the (2-x) by 2, you then subtract the 4 from both sides of the equation, you end up with -2x +12x = 40. Then subtract the 2x from the 12x and you end up with 10x. so now 10x=40. You then divide both sides by 10 and end up with x=10

sorry im not to good at explaining haha

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

The scale for a map is 20 miles = 1/2 inch. The distance between two towns on the map is 3 3/4 inches. What is the actual distan

zubka84 [21]

Answer:

150 miles

Step-by-step explanation:

If 1/2 of an inch is 20 miles, we can assume that 1/4 of an inch is 10 miles, since half of 1/2 is 1/4 and 1/2 of 20 is 10.

Equipped with this information, we can divide 3 by 1/2 or multiply 3 by the reciprical, 2/1 to get how much we should multiply 20 by.

3*2=6

20*6=120

Then we can multiply 10 by 3 and add that on our answer, since there are still 3/4s left and 1/4=10 miles.

10*3=30

120+30=150

The actual distance is 150 miles.

Hope this helps!

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3 years ago

Which choice correctly describes this event? I will draw two cards out of a standard deck of playing cards, and they will be 2 K

Colt1911 [192]

Answer: B. Unlikely

Step-by-step explanation:

Because....

You are not sure if that's possible because that's not something that happens normally so your chances are very unlikely. It's definitely not impossible because it all depends on your luck for some people it might happen. But that's why I'm saying that it's B. Unlikely.

* Hopefully this helps:) Mark me the brainliest:)!!

∞∫ 234483279c20∫∞

4 0

3 years ago

Read 2 more answers

Suppose that 15% of people dont show up for a flight, and suppose that their decisions are independent. how many tickets can you

geniusboy [140]

Answer: 157 tickets

Explanation:

The people not showing up for the flight can be treated as from Binomial distribution.

The binomial distribution B(n, p) is approximately close to the normal i.e. N(np, np(1 − p)) for large 'n' and for 'p' and neither too close to 0 nor 1 .

Now, Let us assume 'n' = n

and we are given

p=0.15

So now B(n,0.15n) follows Normal distribution

u=n

$\sigma^{2}$ = 0.15n

We have to calculate P(X<144) with 99% accuracy

P(X<144) = P(Z<z)

where;

z= $(144-\bar{X})\div \sigma$

z score for 99% is 2.33

i.e.

$(144-\bar{X})\div \sigma = (144-n)/\sqrt{np} = 2.33\\\ (144-n)^{2} = \ np*2.33^{2}\\\ 20736 +n^{2} - 288n = 0.15n*5.43\\\ n^{2} - 288.81n + 20736=0$

solving this we will get one root nearly equal to 157 and other root as 133

Hence the answer is 157.

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3 years ago

9. Gabe's retirement party will cost $6 if he invites 3 guests. If there are 8 guests, how much will Gabe's retirement party cos

never [62]

Answer:

$16

Step-by-step explanation:

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3 years ago