Given -7(x-4)+2=-2(x-5) prove x=6

balu736 [363]

0.30 • 18 = 5.4
0.30 • 40 = 12
0.30 • 9 = 2.7
0.30 • 70 = 21
0.30 • 48 = 14.4
0.30 • 26 = 7.8
0.30 • 14 = 4.2
Add the sums together which would be 67.5
Subtract $100 from $67.5 and that would be $32.5

Answer: $32.50 change

7 0

3 years ago

A company is producing two types of ski goggles. Thirty percent of the production is of type A, and the rest is of type B. Five

exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

So, the required probability is $\dfrac{14}{29}.$

7 0

3 years ago

What is the solution of the equation 3/4x +5 = -9? 16 3 Done

Licemer1 [7]

X=-56/3

multiply everything by 4 to cancel the fraction which will give you
3x+20=-36

then combine like terms to get
3x=-56

then divide to get x by itself to get

x=-56/3

since this is a weird decimal, leave it as an improper fraction

5 0

3 years ago

I -72 –54 -36 y 25 13 1 What is the y-intercept of the line?

Allisa [31]

Answer:

-23

Step-by-step explanation:

As I increases by 18, y decreases by 12. From the last value in the table, I needs to increase by 2·18 for it to become zero. Hence the y-intercept will be 2·12 less than the last value in the table:

1 - 2·12 = -23 . . . the y-intercept

6 0

3 years ago

Find the DISTANCE of line segment AB with point A

Lelu [443]

Answer:

34

Step-by-step explanation:

x-y

3 0

2 years ago