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Yuri [45]
3 years ago
11

How do i do this problem 0.25(x+4)-3=28

Mathematics
2 answers:
KiRa [710]3 years ago
6 0
Distribute the .25 to get .25x + 1 - 3 = 28

Then simplify to get .25x - 2 = 28

Move the two to the right to get .25x = 30

Then divide to leave x: 30 / .25 = 120

X = 120
Alekssandra [29.7K]3 years ago
3 0

Answer:

x = 120

Step-by-step explanation:

We can break this down into a handful of steps.

0.25(x+4)-3=28

Firstly, you can simplify right off the bat via distribution.

(0.25)(x)+(0.25)(4)+-3=28

0.25x+1+-3=28

Then, combine like terms.

(0.25x)+(1+-3)=28

0.25x+-2=28

0.25x-2=28

By using the additive property of equality, add 2 to both sides of the equation.

0.25x-2+2=28+2

0.25x=30

Then, divide both sides by 0.25.

\frac{0.25x}{0.25} = \frac{30}{0.25}

x=120

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ANEK [815]

Answer:

Check the explanation.

Step-by-step explanation:

As the graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2.

As the slop-intercept form is given by:

y = mx+b

where m is the slope and b is the y-intercept.

substituting the values (-2, -10) and m = 5/2 in the slop-intercept form to determine y-intercept.

y = mx+b

-10=\frac{5}{2}\left(-2\right)+b

-\frac{5}{2}\cdot \:2+b=-10

-5+b=-10

-5+b+5=-10+5

b=-5

And the equation of the line in the slope-intercept form will be:

y = mx+b

putting b = -5 and slope = m = 5/2

y = mx+b

y=\frac{5}{2}x+\left(-5\right)

y=\frac{5}{2}x-5

Determining the zero of function.

As we know that the real zero of a function is the x‐intercept(s) of the graph of the function.

so let us determine the value of x (zero of function) by setting y = 0.

0=\frac{5}{2}x-5

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3 0
3 years ago
Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The
sleet_krkn [62]

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

3% of books borrowed from a library in a year are downloaded.

This means that p = 0.03

SRS of 75 books.

This means that n = 75

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: \mu = p = 0.03

Standard deviation: s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

4 0
3 years ago
Levi invested $5,300 in an account paying an interest rate of 2.4% compounded daily. Assuming no deposits or withdrawals are mad
suter [353]

Answer: $6,120.86

Step-by-step explanation:

Formula to calculate the accumulated amount in n years (compounded daily)  is given by :-

A=P(1+\dfrac{r}{365})^{365\times n}

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r= Rate of interest ( in decimal)

As per given , we ahve

P= $5300

r= 2.4%=0.024

n= 6 years

Put these values in formula , we get

A=5300(1+\dfrac{0.024}{365})^{365\times6}\\\Rightarrow\ A=5300(1.00006575342)^{2190}\\\Rightarrow\ A=6120.85673631\approx6120.86

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Lorico [155]

Answer:

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30x-24

x=y=30

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Step-by-step explanation:

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3 years ago
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IgorLugansk [536]

Answer:

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Step-by-step explanation:

Use the second equation (recursive formula) to solve.

It means that every term increases by 4. Therefore you get your answer.

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