1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mila [183]
3 years ago
10

3y - 21 = 12x Help please

Mathematics
1 answer:
Irina18 [472]3 years ago
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!! :)
You might be interested in
Help help help help help help me​
Mumz [18]

Answer:

Mali.

Mali.

Tama.

Tama.

Tama.

Mali.

Tama.

Tama.

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)

so

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

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

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

8 0
3 years ago
Other questions:
  • Help me with both or just one
    15·2 answers
  • the Johnson's pay $9.95 a month plus $.035 per min for local phone service. last month, they paid $12.75. How many minutes of lo
    7·1 answer
  • The population of unicorns is decreasing at a rate of 45% each year. What's the dependent quantity
    8·1 answer
  • The vertex of this parabola is at (3,-2). When the x-value is 4, the y value is 3. What is the coefficient of the squared term i
    11·1 answer
  • Which measurement uses square units​
    12·2 answers
  • What is the value of n?
    13·1 answer
  • A city has a 5% sales tax.
    7·1 answer
  • Can anyone help please?
    13·2 answers
  • Hey can i please <br> get help!
    6·2 answers
  • What do I do I don’t know the answer
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!