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snow_tiger [21]
3 years ago
12

1 — 3 (9x + 3) = 3x + 1

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Step-by-step explanation:

please mark me as brainlest

Hatshy [7]3 years ago
3 0

Answer: x = -0.3

Step-by-step explanation:

<u>Given expression</u>

1 - 3 (9x + 3) = 3x + 1

<u>Expand parentheses and apply the distributive property</u>

1 - 27x - 9 = 3x + 1

<u>Combine like terms</u>

(1 - 9) - 27x = 3x + 1

-8 - 27x = 3x + 1

<u>Subtract 3x on both sides</u>

-8 - 27x - 3x = 3x + 1 - 3x

-8 - 30x = 1

<u>Add 8 on both sides</u>

-8 - 30x + 8 = 1 + 8

-30x = 9

<u>Divide - 30 on both sides</u>

(-30)x / (-30) = 9 / (-30)

(-30)x / (-30) = 3 / (-10)

\boxed{x=-0.3}

Hope this helps!! :)

Please let me know if you have any questions

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From 200 to 100 find the percent change
wlad13 [49]

Answer:

50%

Step-by-step explanation:

since 200 is 100% then 100 is 50%

3 0
3 years ago
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0
3 years ago
Read 2 more answers
What us the volume of this?
ExtremeBDS [4]
Break down the figure into 2 parts. Then use volume formula and multiply.
V=lwh
V=3x3x2
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Then simply add.
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5 0
2 years ago
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Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m
tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
2 years ago
A shop sells apples and oranges in the ratio 5:2.
atroni [7]
Found a great explanation + 1105p = £11.05

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