Simplify.

Whats the answer for 6b+7-2b=1+5b

Alecsey [184]

$Solution,6b+7-2b=1+5b\quad :\quad b=6$

$Steps:$

$6b+7-2b=1+5b$

$\mathrm{Group\:like\:terms}, 6b-2b+7=1+5b$

$\mathrm{Add\:similar\:elements:}\:6b-2b=4b, 4b+7=1+5b$

$\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}, 4b+7-7=1+5b-7$

$\mathrm{Simplify}, 4b=5b-6$

$\mathrm{Subtract\:}5b\mathrm{\:from\:both\:sides}, 4b-5b=5b-6-5b$

$\mathrm{Simplify}, -b=-6$

$\mathrm{Divide\:both\:sides\:by\:}-1, \frac{-b}{-1}=\frac{-6}{-1}$

$\mathrm{Simplify}, b=6$

$\mathrm{The\:Correct\:Answer\:is\:b=6}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

3 0

3 years ago

Read 2 more answers

I WILL GIVE BRAINLIEST 6TH GRADE MATH

yaroslaw [1]

Answer:

A

Step-by-step explanation: If you count a the answer will be 48

5 0

3 years ago

Read 2 more answers

1,-2,3,-4,5... <br><br> what’s the next two numbers in the pattern?

MrMuchimi

Answer:

The two numbers following 1,-2,3,-4,5... are -6 and 7.

Step-by-step explanation:

index: 1 2 3 4 5 ....

value: 1 -2 3 -4 5

Let the index be n. Then the first term is a(1), the secon is a(2), and so on.

a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)

a(3) = 3*(-1)^(3-1) = 3*(-1)^2 = 3 (correct)

a(4) = 4*(-1)^(4-1) = 4*(-1)^3 = -4 (correct)

So the general formula for a(n) is: a(n)=n(-1)^(n-1)

Thus,

a(5) = 5(-1)^4 = 5

a(6) = 6(-1)^5 = -6

a(7) = 7(-1)^6 = 7

The "next two numbers in the pattern" are -6 and 7. The first 7 numbers are

1,-2,3,-4,5, -6, 7

4 0

3 years ago

Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ < 98.6, and level of significance α = 0.05. 98 99.6 97.8

andrezito [222]

Answer:

The t-score is -1.8432

Step-by-step explanation:

We are given the following in the question:

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1964.4}{20} = 98.22$

Sum of squares of differences = 16.152

$s = \sqrt{\dfrac{16.152}{49}} = 0.922$

Population mean, μ = 98.6

Sample mean, $\bar{x}$ = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 98.6\\H_A: \mu < 98.6$

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432$

The t-score is -1.8432

7 0

3 years ago

If rectangle LMNO were rotated 180° clockwise about the origin to create rectangle L'M'N'O', what would the measure of angle O'

Marianna [84]

9514 1404 393

Answer:

90°

Step-by-step explanation:

Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.

_____

<em>Additional comment</em>

No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.

5 0

3 years ago