Factor this expression. -12/28b + 15/32

Find three consecutive even integers such that the sum of the first, twice the second, three times the third is -76. What is the

ss7ja [257]

Answer:

The numbers are -14,-13 and -12

Step-by-step explanation:

The correct question is

Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?

Let

x ----> the first consecutive integer

x+1 ---> the second consecutive integer

x+2 ---> the third consecutive integer

we have that

$x+2(x+1)+3(x+2)=-76$

solve for x

apply distributive property

$x+2x+2+3x+6=-76$

Combine like terms

$6x+8=-76$

subtract 8 both sides

$6x=-76-8$

$6x=-84$

Divide by 6 both sides

$x=-14$

so

$x+1=-14+1=-13$

$x+2=-14+2=-12$

therefore

The numbers are -14,-13 and -12

3 0

3 years ago

Find the length of the hypotenuse in the figure below A. 6.9 B. 2.8 C. 5.7 D. 8

Iteru [2.4K]

C
4 times the square root of 2 is 5.65... which rounds to 5.7

5 0

4 years ago

Which operation would you do second in the following problem?

sleet_krkn [62]

Answer:

C. Multiplication

Step-by-Step Explanation:

This problem is testing your knowledge of the Order of Operations. Here is the correct order:

Exponents (inside parenthesis)- There are no exponents for you to solve in this expression, so just ignore this step for now. (example: (4 + 2²) --> (4 + 4))

Parenthesis (from left to right)- In this case, you would solve the expressions inside the parenthesis first because there are no exponents.

Multiplication and Division (from left to right outside of parenthesis)- After solving the expressions inside the parenthesis, there will be one multiplication you need to solve next.

Addition and Subtraction (from left to right outside of parenthesis)- The only operation left for you to do now is addition. You can either do this in one whole step, or you can divide it into two steps. I've done it in two to keep it simple.

Here is the problem worked out in steps in case you are confused:

Step 1: Parenthesis

(-8 ÷ 4) + 5 + 4(3 - 6)

(-2) + 5 + 4(-3)

Step 2: Multiplication

-2 + 5 + 4(-3)

-2 + 5 + (-12)

Step 3: Addition

-2 + 5 + (-12)

3 + (-12)

-9

(Note: '3 + (-12)' could also be written as '3 - 12', making it a subtraction instead of an addition)

Hope this helps!

5 0

3 years ago

Read 2 more answers

If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 19 find a*b*c

VashaNatasha [74]

Answer:

a=-4

b=2

c=7

so therefore a*b*c=-4*2*7

5 0

3 years ago

Laundry detergent boxes are filled according to an approximately Normal distribution with mean 34.15 ounces and standard deviati

Leno4ka [110]

Using the normal distribution, it is found that there is a 0.0668 = 6.68% probability a randomly selected box has less than the 34 ounces of advertised weight.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 34.15, \sigma = 0.1$ .

The probability a randomly selected box has less than the 34 ounces of advertised weight is the p-value of Z when X = 34, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{34 - 34.15}{0.1}$

Z = -1.5

Z = -1.5 has a p-value of 0.0668.

0.0668 = 6.68% probability a randomly selected box has less than the 34 ounces of advertised weight.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

7 0

2 years ago

Factor this expression.-12/28b + 15/32​

Factor this expression.-12/28b + 15/32