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3 years ago

What is the value of x so the rectangles have the same area. a. 12 & X b. X-2 & 16

1 answer:

5 0

The area of a rectangle is L x W. We have to get the value of x first so that we can find the area of the rectangle.

To get the value of x
given:
a. 12 & X
b. X-2 & 16 
solution:
12x (x) = (8-2 ) 16
12x = 16x-32
32 = 16x-- 12x
32 = 4x
4 4
8 = x

Checking:

a. 12 & X b. X-2 & 16
Area of a rectangle = L x W Area of a rectangle = L x W
 =12 x 8 = (8-2) 16
Area of a rectangle = 96 = 6 (16)
Area of a rectangle = 96

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7 - 9x - 15 + 12x HELPPPP

Gekata [30.6K]

Simplify. Combine like terms

12x - 9x = 3x

7 - 15 = -8

3x - 8 is your answer

hope this helps

5 0

3 years ago

Read 2 more answers

Can I have some help on these two math questions?

BigorU [14]

8. 1,728 i did 12×18÷2=108×32=345÷2= 1,728

8 0

3 years ago

I am having trouble 2(10-13x)=-34x+60

morpeh [17]

Simplifying 2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms: 20 + -26x = 60 + -34x
Solving 20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation. 20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x 20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0 20 + 8x = 60 + 0 20 + 8x = 60
Add '-20' to each side of the equation. 20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0 0 + 8x = 60 + -20 8x = 60 + -20
Combine like terms: 60 + -20 = 40 8x = 40
Divide each side by '8'. x = 5
Simplifying x = 5

7 0

3 years ago

A recent study suggested that 70% of all eligible voters will vote in the next presidential election. Suppose 20 eligible voters

natita [175]

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that $p = 0.7$

20 eligible voters were randomly selected from the population of all eligible voters.

This means that $n = 20$

What is the probability that fewer than 11 of them will vote?

This is:

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308$

$P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120$

$P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039$

$P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010$

$P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002$

$P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0$

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

$P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479$

0.0479 = 4.79% probability that fewer than 11 of them will vote

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3 years ago

What are two ways the debt- to- GDP ratio can in crease

yulyashka [42]

Answer:

Governments should reduce spending, and encourage growth through production and exportation, or increase tax revenues.

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3 years ago