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Sergio [31]
2 years ago
11

Solving equations with varibles on both sides answe: 0.75x+4=6x

Mathematics
1 answer:
Gemiola [76]2 years ago
4 0

Answer:

0.76=x

Step-by-step explanation:

to solve this you want to get x by itself on one side.

0.75x+4=6x

we'll move 0.75x over to the other side.

0.75x-0.75x+4=6x-0.75x

now we simplify.

4=5.25x

now we divide both sides by 5.25x.

4/5.25=5.25x/5.25

≈0.76=x

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3 years ago
Which expression is equivalent to -
dedylja [7]
x^\frac{4}{3} x^ \frac{2}{3}Lets get started :)

Referring to the picture I have uploaded might help you
We have the same base, which in this case is x. 

When multiplication occurs in the same base, we add the powers
x^\frac{4}{3} x^ \frac{2}{3}
   ↓ (I am going to perform the problem separately and then give the final answer as the power to x)
\frac{4}{3} + \frac{2}{3} = \frac{6}{3} = 2
  ↓
x²

(x^2)^ \frac{1}{3}

The power of a power should be performed by multiplying the powers together.
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Your final answer will be the second option



4 0
3 years ago
52. In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants to know the proportion o
kvasek [131]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. We know that we require a 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

We want a margin of error of ME =\pm 0.1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04  

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

4 0
3 years ago
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mel-nik [20]

Answer:

The function is 200+50t (t= # of months)

Step-by-step explanation:

The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.

3 0
2 years ago
Two sides of a rectangle are 10 and 6cm each. Calculate the area of a square with the same perimeter as that of the rectangle
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Answer: 64 cm ²

Step-by-step explanation:

The perimeter of this rectangle will be:

= 2 * Length + 2 * Width

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The square has the same perimeter. Squares have 4 equal sides so each side of the square must be:

= 32 / 4

= 8 cm

Area = Length * Width

= 8 * 8

= 64 cm ²

4 0
3 years ago
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