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3 years ago

Factor this expression: 2x + 12 PLEASE EXPLAIN

Mathematics

2 answers:

Fudgin [204]3 years ago

5 0

Well you would 12 12 because you double the number twice ad you would do 12 in 12 and you get 24

Elenna [48]3 years ago

5 0

2(x+6)

What you do is find the greatest common factor between the two terms.
Then you put that number outside the parenthesis and divide the terms inside by that number.
Here's my work:
2x+12
2x/2=x
12/2=6
2(x+6)

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Josie read 40 pages of a book in 50 minutes. How many pages could she read in two hours?

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3 years ago

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Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are contained in the

galina1969 [7]

Answer:

a. The margin of error is 2.29.

b. 19.23 to 23.81

Step-by-step explanation:

The sample size is n=64.

We start by calculating the sample mean and standard deviation with the following formulas:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}$

The sample mean is M=21.52.

The sample standard deviation is s=6.89.

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=\dfrac{s}{\sqrt{N}}=\dfrac{6.89}{\sqrt{64}}=\dfrac{6.89}{8}=0.861$

The degrees of freedom for this sample size are:

$df=n-1=64-1=63$

The t-value for a 99% confidence interval and 63 degrees of freedom is t=2.656.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=2.656 \cdot 0.861=2.29$

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 21.52-2.29=19.23\\\\UL=M+t \cdot s_M = 21.52+2.29=23.81

The 99% confidence interval for the mean is (19.23, 23.81).

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3 years ago

If Y = $1265, C = $660, and I = $325, solve for G.

Tresset [83]

Answer:

285

Step-by-step explanation:

assuming youre saying 1265 = 660 + 325 + g

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3 years ago

What is the product of 2p+q and -3q-6+1

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(2p + q)(-3q - 5)
(2p + q)(-5 -3q)
-10p -6pq -5q -3q^2
-3q^2 -5q -6pq -10p

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3 years ago

Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text mess

KiRa [710]

Complete Question

Jessica pays a flat rate of $70 for her cell phone and is charged $0.05 for every text she sends. Jessica wants to spend less than $80.00 per month on her cell phone. Write and solve an inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00.

Answer:

<em>Inequality: </em>70 + 0.05x < 80

<em>Solution: </em>x < 200

Step-by-step explanation:

Let x represents the minimum number of SMS.

If 1 SMS is charged at $0.05, then x SMS would be charged at $0.05x

Considering that she pays a flat rate of $70.

The inequality to represent the minimum number of SMS she needs to send is:

70 + 0.05x < 80

To solve this inequality, follow the following steps

Collect like terms

0.05x < 80 - 70

0.05x < 10

Divide through by 0.05

0.05x/0.05 < 10/0.05

x < 10/0.05

x < 200

The solution to the inequality that shows how many text messages Jessica must limit herself to in order to keep her monthly bill less than $80.00 is x < 200.

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4 years ago