Solve for x. 3(x + 5) - 2(x + 2) = 20

Answers

Answer 1

Answer: 3(x + 5) - 2(x + 2) = 20
3x + 15 -2x - 4 = 20
x + 11 = 20
x = 20 -11
x = 9

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$213 ski jacket 30% discount

Answers

213. 30/100 = 213. 3/10 =63.9
213-63.9=143.1

Answer:143.1

Step-by-step explanation:

213. 30/100 = 213. 3/10 =63.9

213-63.9=143.1

Does anyone know where to plot this?

Answers

Answer:

(-3,1) becomes (1,-1)

(-4,7) becomes (0,5)

(-6,3) becomes (-2,1)

(-9,8) becomes (-5,6)

Step-by-step explanation:

just move every point 4 to the right and 2 down. once you plot the new points draw and connect

Radii of congruent circles are equal.
a. True
b. False

Answers

A, true is your correct choice in this statement, reason being is because they are exactly the same size and shape.

Perform the indicated operation and write and standard form. -7i(6i-3)

Answers

-7i (6i - 3)

Perform the distributed multiplication to eliminate the parentheses:

-7i (6i) - 7i (-3) = -42i² + 21i

IF i = √-1 , then the expression is equal to (42 + 21i) or 21(2 + i) .

$-7i(6i-3)=\n -42\cdot(-1)+21i=\n 42+21i$

If there is an 80% chance of rain and a 50% chance of wind and rain, what is the probability that it is windy, given that it is rainy? Round your answer to the nearest percent.

Answers

Answer:

The probability that it is windy, given that it is rainy is:

62.5%≈63%

Step-by-step explanation:

Let A denote the event that it will rain.

B denote the event that it is windy.

A∩B denote the event that it is rainy and windy.

Let P denote the probability of an event.

i.e. we have:

P(A)=0.80

( Since there are 80% chance of rain)

P(A∩B)=0.50

(Since there are 50% chance of wind and rain)

We are asked to find:

P(B|A)

We know that:

$P(B|A)=(P(A\bigcap B))/(P(A))\n\n\nP(B|A)=(0.50)/(0.80)\n\n\nP(B|A)=0.625$

Hence, the probability in percent is:

62.5%≈63%

The total probability when given it is rainy is 80%. Among them, the windy probability among 80% is 50%. So the total probability is 50%/80%=62.5%≈63%.

Evaluate the following function for f(4).f(x) = 5 + √x

Write your answer as an integer, like this: 12

Answers

f( 4 ) = 5 + $√(4) = 5 + 2 = 7 ;$

$f(4)=5+\sqrt4=5+2=7$

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