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artcher [175]
3 years ago
13

How do i solve -96=-6(1-3b) with the steps

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

The answer is b= - 5

Step-by-step explanation:

-96 = -6 ( 1 - 3b )

-6 ( 1 - 3b ) = -96

\frac{-6(1 - 3b}{-6} = \frac{-96}{-6}

1 - 3b = 16

3b = 16 - 1 = 15

b= 15 : 3 = 5

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-10n+50=-7(4n+8)-2 no solution many solution
ziro4ka [17]

Answer:

n=-6

Step-by-step explanation:

distribute -7 into (4n+8)

-10n+50=-28n-56-2

combine like terms

-10n+50=-28n-58

add -28n on both sides

-10n+28n+50=-58

combine like terms again

18n+50=-58

subtract 50 on both sides

18n=-108

divide both sides by 18

\frac{18x}{18} =\frac{-108}{18}

x=-6

hope this helps

8 0
3 years ago
We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden
True [87]

Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence interval

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

\sqrt{n} = 9.8

(\sqrt{n})^{2} = (9.8)^{2}

n = 96

The minimum number of cities we need to contact is 96.

8 0
2 years ago
The expression (4c − 3d)(3c + d) is equivalent to:
Umnica [9.8K]

(4c - 3d)(3c + d) =

= 12c² + 4cd - 9cd - 3d² =

= <u>12c² - 5cd - 3d²</u>

4 0
3 years ago
-2 (z + 11) = 6<br><br> Please help. You have to use distributive property.
Mamont248 [21]

Answer:

-14

Step-by-step explanation:

-2(z+11)=6

-2z-22=6

-2z=28

z=-14

4 0
2 years ago
............................
Vika [28.1K]

Answer:

........

Step-by-step explanation:

you didnt give a proper question so i answed with ........

3 0
2 years ago
Read 2 more answers
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