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3 years ago

Explain how the steps of the distributive property can be used to solve the equation 3(x + 4) =36 ?

Mathematics

2 answers:

babymother [125]3 years ago

6 0

My explanation is attached in the first image.

My work is attached in the second image.

Oksanka [162]3 years ago

3 0

Step-by-step explanation:

First, apply the distributive property to the left side of the equation. Multiply each of the two numbers inside the parentheses by 12 and then combine those products. Next, solve as you would solve any two-step equation. To isolate \begin{align*}12x\end{align*} on the left side of the equation, add 24 from both sides.

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Carlos earns $3.50 a day on his paper route. He runs

loris [4]

Answer:

their are 4 weeks in a month so 4*7=

so its 1/28 which is equals to (1 divided by 28)

3.57%

Hope This Helps!!!

6 0

2 years ago

Read 2 more answers

1/4x + 6 + 1/5x - 3/20x = 4.2

natta225 [31]

Answer:

Step-by-step explanation:

The explaination is in the picture

6 0

3 years ago

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$

where $S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2} }{n_{1} +n_{2} -2}$

$S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}$

substitute values and we get S² = 40.988

$t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24} )}$

t = 1.3622

Calculated value t = 1.3622

Tabulated value 't' = 2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

Conclusion:-

The null hypothesis is accepted

Assume the population variances are approximately the same.

6 0

3 years ago

Simplify the complex fraction. 8/5 divide by 6 3/4 *

hichkok12 [17]

Step-by-step explanation:

$\frac{8}{5}$ ÷6 $\frac{3}{4}$

First, simplify the 6 $\frac{3}{4}$ to an improper fraction, which is:

$\frac{27}{4}$

Next rewrite the equation using the improper fraction:

$\frac{8}{5}$ ÷ $\frac{27}{4}$

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.

$\frac{8}{5}$ · $\frac{4}{27}$

Finally, multiply together and simplify/reduce if needed:

The final answer is $\frac{32}{135}$ and no simplification or reduction is needed

4 0

4 years ago

The water level of a lake is 22 feet. It falls to 18 feet during one month. What is the percent decrease in the water level?

Fantom [35]

18%
22-18=4
4 divided by 22

7 0

3 years ago