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3 years ago

3y - 21 = 12x Help please

1 answer:

3 0

Simply
3Y+-21=12X

Re-order the terms
-21+3Y=12X

(Solving for Y variable)

Move all terms containing y to the left, all other terms to the right.

Add 21 to each side of the equation
-21+21+3Y=21+12X

Combine like terms: -21+21=0
0+3Y=21+12X
3Y=21+12X

Divide each side by 3
Y=7+4X

Simplifying
Y=7+4x
I hope this helps!! :)

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Mumz [18]

Answer:

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6 0

2 years ago

You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side

mrs_skeptik [129]

Answer:

You could use a measurement of 4 centimeters.

The valid range is 2 < x < 8 cms.

Step-by-step explanation:

The third side must either be less than 3+5, that is less than 8 cms and it must be greater than (5-3) = 2 cms. If it is any other length we could not construct a triangle.

8 0

3 years ago

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

$3x+2y=27$ -----> equation A

$2x+y=(27-11)$

$2x+y=16$ ----> equation B

Solve the system of equations

Multiply the equation B by $-2$

$-2(2x+y)=-2*16$ -----> $-4x-2y=-32$ ------> equation C

Adds equation A and equation C

$3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5$

Substitute the value of x in the equation B

$2(5)+y=16$

$10+y=16$

$y=6$

The solution of the system of equations is the point $(5,6)$

The price of each burger is $\$5$

The price of each sandwich is $\$6$

6 0

2 years ago

Read 2 more answers

How to simplify : <br><br> √(1+√(1-x^2 )) - √(1-√(1-x^2 ))

muminat

√(1 + √(1 - x²)) - √(1 - √(1 - x²))
√(1 + 1 - x) - √(1 - 1 - x)
√(2 - x) - √(0 - x)
(1.414 - x^1/2) - (0 - x^1/2)
1.414 - 0 - x^1/2 + x^1/2
1.414

4 0

3 years ago

A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The number of subjects needed to estima

Ludmilka [50]

Answer:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$