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4 years ago

3.a. Use the distributive property to rewrite the equation.

Mathematics

2 answers:

mash [69]4 years ago

7 0

Answer:

Hey there!

Part A

3(2x-1)+4=7

6x-3+4=7

Part B

6x+1=7

Part C.

6x+1-1=7-1

6x=6

Part D.

6x/6=6/6

x=1

Let me know if this helps :)

Lunna [17]4 years ago

3 0

Answer:

3. 6x -3 +4 = 7

4. 6x +1 = 7

5. 6x = 6

6. x = 1

Step-by-step explanation:

3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.

3(2x -1) +4 = 7 . . . . . . given

3(2x) +3(-1) +4 = 7 . . . . using the distributive property

6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products

4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.

6x +1 = 7

5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.

6x +1 -1 = 7 -1

6x = 6

6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.

6x/6 = 6/6

x = 1

______

Additional comment

You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.

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Answer:

28.5 acres

Step-by-step explanation:

95 acres total

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3 years ago

Put these numbers in order from greatest to least. 9, 9/10, -18/36, 28/40 Please help me

mojhsa [17]

Answer:

9>0.9>0.7>-18/36

Step-by-step explanation:

the smallest would be -18/36.

now we have 9,9/10,28/40

simplify 9/10: 0.9

simplify 28/40: divide 28 and 40 by 4. you will have 7/10 which is equal to 0.7.

now the greatest number is 9,then 0.9 and then 0.7

if anything is unclear, ask freely.

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3 years ago

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T

CaHeK987 [17]

Answer:

We need to conduct a hypothesis in order to check if the mean is higher than 75, the system of hypothesis are :

Null hypothesis: $\mu \leq 75$

Alternative hypothesis: $\mu > 75$

A. One-Tailed

$z=\frac{82.2-75}{\frac{10.4}{\sqrt{10}}}=2.189$

$p_v =P(z>2.189)=0.0143$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

We have the following data: 84 94 80 88 77 68 90 74 96 71

We can calculate the sample mean with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X=82.2$ represent the sample mean

$\sigma=10.4$ represent the population standard deviation

$n=10$ sample size

$\mu_o =75$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 75, the system of hypothesis are :

Null hypothesis: $\mu \leq 75$

Alternative hypothesis: $\mu > 75$

A. One-Tailed

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{82.2-75}{\frac{10.4}{\sqrt{10}}}=2.189$

P-value

Since is a ONE-TAILED test the p value would given by:

$p_v =P(z>2.189)=0.0143$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

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3 years ago

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ziro4ka [17]

Multiply 3 to everything inside the bracket, then collect like terms and simplify.

= 20 - 15w - 6 - 4w
= 20 - 6 - 15w - 4w
= 14 - 19w

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3 years ago

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Stolb23 [73]

Answer:

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Step-by-step explanation:

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3 years ago

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