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kumpel [21]
3 years ago
12

I need to use inverse operations to answer this equation 1/3(9x+3)=3x+4 but I have a hard time with it since it has variables on

both sides​
Mathematics
1 answer:
ololo11 [35]3 years ago
8 0

Answer:

What you have to do first is simplify each side. 1/3(9x+3) can we simplified since when distributed, you would get 3x+1. You equation would be: 3x+1=3x+4. This problem would be unsolvable since no number for x would work. But next time, try to isolate the variable by using the inverse operation. With some practice, it will become easier.

Hope This Helps!!! :D

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You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and e
svlad2 [7]

Answer:

282.5 inches squared

Step-by-step explanation:

A triangle is half the area of a square.

So we will solve the area as if we were finding the area for a square, and then we halve the result.

Length multiply by height to get the area:

28.25 × 20 = 565 inches squared

Now, half the answer to get the area of the triangle:

565/2=282.5 inches squared

8 0
3 years ago
3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standa
gregori [183]

Answer:

A sample of 17 must be selected.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation from a previous study is 4 hours.

This means that \sigma = 4

How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?

A sample of n is required.

n is found for M = 2. So

M = z\frac{\sigma}{\sqrt{n}}

2 = 2.054\frac{4}{\sqrt{n}}

2\sqrt{n} = 2.054*4

Simplifying both sides by 2:

\sqrt{n} = 2.054*2

(\sqrt{n})^2 = (2.054*2)^2

n = 16.88

Rounding up:

A sample of 17 must be selected.

8 0
3 years ago
Find the area of the figure below.
Fudgin [204]

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

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