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2 years ago

How do you factor the common factor out of 30x^2-12x

1 answer:

4 0

The answer would be 6x(5x-2).

Since both terms have x in them, x will be apart of your answer.

The GCF of 12 and 30 is 6.

So you can factor out 6x from both terms.

Hope this helps!

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A set of gulf clubs is on sale for $150, which is 70% off of its original price. What was the original price of the gulf clubs

Alika [10]

Answer: 500$

Step-by-step explanation: 150 is 70% off the ORIGINAL price, so 150 is actually 30% off. Divide everything by 3 and you get 50$ = 10%. Multiple 50 by 10 and you get 500, your answer.

8 0

2 years ago

A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,

Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

$P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017$

Probability of a defective item being produced on the first shift:

1% of 50%. So

$P(A \cap B) = 0.01*0.5 = 0.005$

What is the probability that it was manufactured during the first shift?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941$

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0

2 years ago

Hans's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Hans

Tanya [424]

He used 53 pounds. I got this by using two equations.
a+b=117
and
5.8a+4.1b= 569.8

I took the first equation and subtracted 'b' so the equation looked like a=117-b.
I then plugged in 117-b into the second equation, so it ended up looking like this:
5.8 (117-b)=569.8
5.8 times 117 is 678.6. And 5.8 times negative b is negative 5.8b.
The equation now looks like this:
678.6-5.8b+4.1b=569.8
Add like terms
678.6-1.7b=569.8
Then subtract 678.6 from both sides
-1.7b= -108.8
divide each side by -1.7
you get b= 64.
But because you are looking for how many pounds for a, subtract 64 from 117. You get 53. 53 is the answer.

3 0

3 years ago

Which of the following is a verbal

wolverine [178]

Answer: Three less than a number

Step-by-step explanation: z-3 means the three is subtracted from the unknown number.

<em>An unknown quantity less than three. would be 3 - z or z < 3</em>

3 0

3 years ago

Read 2 more answers

The graph of f passes through (-6,9) and is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24 the

Valentin [98]