Solve this system of equations using the substitution method.

y = 5x
3x + 16 = y

tyty

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

3x+16=5x

16=2x

8=x


Related Questions

What is 1/4 x 12? I know this is kind of and easy and stuff but i'm searching it up and it keeps showing decimals no matter what I do and this is really bugging me. Can anyone help me?

Answers

Answer:

3

Step-by-step explanation:

[tex]\cfrac{1}{4}\cdot 12\implies \cfrac{1\cdot 12}{4}\implies \cfrac{12}{4}\implies \cfrac{4+4+4}{4}\implies \cfrac{4}{4}+\cfrac{4}{4}+\cfrac{4}{4}\implies 1+1+1\implies 3[/tex]

Find Distance (4,6) (-4,-3)​

Answers

Answer:

[tex]\sqrt{145}[/tex]

Step-by-step explanation:

The distance formula states that the distance between two points [tex](a,b)[/tex] and [tex](c,d)[/tex] is [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex].

The two points we have are [tex](4,6)[/tex] and [tex](-4,-3)[/tex]. Plugging these numbers into the distance formula, we have

[tex]\sqrt{(4-(-4))^2+(6-(-3))^2[/tex].

Simplifying with order of operations, first using the distributive property, gives

[tex]\sqrt{(4+4)^2+(6+3)^2[/tex].

Squaring and adding gives

[tex]\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},[/tex]

which is the answer in simplest form. This also rounds to about 12.04.

Find the area of the sector. Use 3.14 for the value of 1. Round your answer to the
nearest tenth. *
165°
4 m

Answers

Answer:

52

Step-by-step explanation 1/3 i believe it would be 1/6 of 314 which would be 52 and 1/3.

A large school district found that 88 of 100 randomly selected students at East High School had internet access
at home. A separate random sample from West High showed 79 of 100 students had internet access at home.
Administrators used those results to make a 90% confidence interval to estimate the difference between the
proportion of students at each school who have internet access at home (PE - Pw). The resulting interval was
approximately 0.09 0.086. They want to use this interval to test H, : PE = Pw versus H : PE + Pw at
the a = 0.10 significance level. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the a=0.10
level of significance?

Answers

It can be deduced that the p-value is less than the level of significance.

What is a level of significance?

It should be noted that the level of significance simply means the measure of the strength of the evidence that's is present in a sample before the null hypothesis is rejected.

From the complete question, the confidence interval is a given as (0.004, 0.176). In this case, the p-value is less than the level of significance and they should conclude that there's a difference between the proportions.

Learn more about level of significance on:

https://brainly.com/question/4599596

Prove that the value of the expression
(3^5-3^4)(3^3+3^2) is divisible by 24

Answers

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

If angles A and B are supplement, and angle B has a measurement of 22°, then angle A has a measurement of ___________ (fill in the blank)

HELP PLEASE!!!

Answers

158 degrees

Supplements (“supplementary”) means that the angles add up to 180 degrees.

A+22 = 180
A=158

Hope this helps!

A star is cut from 1 cm grid paper.
What is the approximate perimeter and area of the
star?
The perimeter is about
cm.
The area is about
cm2

Answers

Answer:

The answer is 16 cm

Step-by-step explanation:

If the area was 16cm^2 before, then each side was 4 cm long since each side of a square is equal, and the area for a square is the length of the sides squared. The square root of 16 is 4, so that is why the sides were 4 cm. When you make each side 1 cm shorter, they're now all 3 cm. 3^2 is 9, so the new area is 9 square centimeters.

Answer:

22 19

Step-by-step explanation:

evaluate each expression (-1) • (-2) • 3

Answers

The Solution is 6
1x2x3

An account has a principal of $300 and a simple interest rate of 3.9%. The table shows the simple interest earned and the new account balance for 3 and 5 years

Complete this table for the 8th year
Time (years)
3,5,8
Simple interest earned($)
35.10
58.50
(Blank)
New account balance ($)
335.10
358.50

Answers

Answer:

35.975 lakhs simple interest earned

(1.75) ^2 in expanded form

Answers

Answer:

(1.75)(1.75)

Step-by-step explanation:

[tex](1.75)^{2} =(1.75)(1.75)[/tex]

Hope this helps

Tammy learns in science class that water freezes when its temperature is
no more than 32 °F. Which number line shows all of the possible
temperatures, t, at which Tammy can set her freezer in order to make ice
cubes?

Answers

The required number line that shows all of the possible

temperatures is option A.

Inequalities and number line

From the given question, we have that water freezes when its temperature is no more than 32 °F

The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;

t ≤ 32.

We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible

temperatures is option A.

Learn more on number lines here: https://brainly.com/question/24644930

Which equations represent an indirect variation relationship whit a constant of variation equal to -4? Select ALL correct answers

A) xy = -4

b) y = -4/x

c) y = x/-4

d) y = -4x​

Answers

The equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

Direct and indirect variation

An indirect variation is also known as the inverse variation

If the variable y is indirectly proportional to x , this is expressed as:

y = k/x

where

k is the variation constant

If the variation constant is -4, then;

y = -4/x

Hence the equations that represent an indirect variation relationship with a constant of variation equal to -4 are y = -4/x and xy = -4

Learn more on variation here: https://brainly.com/question/5247042

Can anyone help me out?

Answers

Answer:

X=20

Step-by-step explanation:

(3x+10)+(6x-10)=180

9x=180

180/9=20

X=20

PLEASE HELP THIS IS DUE IN 1 HOUR IF I DON'T PASS THIS I'LL FAIL THE CLASS!!!!

Answers

The answer will be 23 bcd. Hope it’s helps

( help me please ) ….

Answers

Answer:

The slope is 6/5, ;)))))))

6+3x=x-8

Solve the answer for X

Answers

Answer:

18

Step-by-step explanation:

6+3=9 so do 9 add 8 =18 is another word is inverse

Which statements are true? Select three options.
O AB and Eare parallel.
O A and is are parallel.
O E and Rs are perpendicular.
AB and is must intersect.
o CG lies in plane X.
Rs lies in plane X
RS

Answers

Answer:

please attach a picture so I may assist

A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which statement must be true? z37 is within 1 standard deviation of the mean. Z37 is between 1 and 2 standard deviations of the mean. Z37 is between 2 and 3 standard deviations of the mean. Z37 is more than 3 standard deviations of the mean.

Answers

The Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A supervisor finds the mean number of miles that the employees in a department live from work.

μ = 29 and σ = 3.6

Z-37

Then we have

[tex]\rm Z - 37 = \dfrac{37-29}{3.6}\\\\Z -37 = 2.22[/tex]

Then Z-37 lies between the 2 and 3 standard deviations of the mean. Then the correct option is C.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Answer:

ITS C

Step-by-step explanation:

Kevin works two part-time jobs and wants to earn a total of at least $504 per week. He earns an
average of $12 per hour delivering food and $14 per hour working retail
A.) Write the inequality representing the scenario
B.) Graph the inequality

Answers

Kevin earning at least $504 implies that he wants to earn $504 or more

The inequality representing the scenario is [tex]12x + 14y \ge 504[/tex]

How to interpret the scenario?

The given parameters are:

Earnings = At least $504

Food delivering = $12 per hour

Retail = $14 per hour

Represent the number of hours delivering food with x, and the retail work with y.

So, the earning is:

Earning = 12x + 14y

The earning is at least $504.

So, we have:

[tex]12x + 14y \ge 504[/tex]

See attachment for the graph of the inequality

Read more about inequalities at:

https://brainly.com/question/25275758

You poured some 12% alcohol solution and some 6% alchohol solution into a mixing container. Now you have 480 grams of 7.5% alcohol solution/ Write and solve a system of eqauations to find how many grams of 12% solution and how many grams of 6% solution you poured into the mixing container.
You mixed _____ grams of 12% solution with _____ grams of 6% solution

Answers

Answer:

You mixed 364.8 grams of 12% solution with 115.2 grams of 6% solution

Step-by-step explanation:

x = 12% grams  

480 -x = 6% grams

.08 ( x)     +    .06 ( 480-x)  =  .0752 (480)

.012x         +   30 - .06x   = 37.6

x = 364.8  gm    of 12%       115.2 gm of 6%

PLEASE MARK BRAINLIEST!!!

HAVE A GREAT DAY!

rewrite each expression as a single power of 15

Answers

Answer:

Step-by-step explanation:

One

√15 / ∛15 = 15^(1/2 - 1/3) = 15^(1/6)

When you divide numbers that are the same base but different powers, the following rule applies

base^(numerator power - denominator power)

Two

15^(1/2 + 1/4)

15^(3/4)

When you multiply 2 numbers with the same base and different powers you raise the base by the sum of the powers.

Evaluate 1 2/ 3 × 1 1 /5 Give your answer in its simplest form

Answers

Answer:

3 2/3

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

1 2/ 3 = 5/3

Last, multiply

5/3 × 1 1 /5

11/3

or

3 2/3

Hope this helps!

mark brainliest if possible!

What is the measure of angle z in this figure?



Enter your answer in the box.

Answers

Answer:

137

Step-by-step explanation:

because we know that angle z shares a line or is supplementary to the angle with 43 degrees, and a straight line is always 180 degrees, so to find the other angle, you would take 180-43=137.

Answer:

137

Step-by-step explanation:

we know that angle z shares a line with the angle with 43 degrees, and a straight line is always 180 degrees, to find the other angle, you take 180-43=137.

Given: AB = CD and BC = AD.
Prove: AB l| CD and BC || AD.

I need the reasons and the statements!!

Answers

Step-by-step explanation:

AC = AC by reflexive

∆ABC = ∆CDA by SSS

Angle CAD = angle ACB by CPCTC

Since alt interior angles are congruent, BC //AD

Repeat the same process to show AB//CD

Use the map and the provided ruler to find the actual distance between cities. The actual distance between Kalamazoo and Ann Arbor is ___ miles.

Answers

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles.

How to estimate distances by scale factors

The real distance is the producto of the scale factor and the in-scale distance. According to the figure, the scale factor is 50 miles per centimeters and the in-scale distance is approximately 1.25 centimeters. Then, the real distance between Kalamazoo and Ann Arbor is:

[tex]d \approx \left(50\,\frac{mi}{cm} \right)\cdot (1.25\,cm)[/tex]

[tex]d \approx 62.5\,mi[/tex]

The actual distance between Kalamazoo and Ann Arbor is approximately 62.5 miles. [tex]\blacksquare[/tex]

To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/26711747

What is the standard form equation of the line shown below?

Answers

Answer:

C.

Step-by-step explanation:

14/3 = 4.7 which seems about right for the Y-intercept & the gradient is - 1/3.

Gradient = rise /run

= 1/3

Hope this helps!

Answer:

x + 3y = 14

Step-by-step explanation:

Points: (2, 4), (-1, 5)

y - y1 = (y2 - y1)/(x2 - x1) × (x - x1)

y - 4 = (5 - 4)/(-1 - 2) × (x - 2)

y - 4 = 1/(-3) × (x - 2)

-3y + 12 = x - 2

x + 3y = 14

what is this can you figure it out

Answers

      First, we can see that this is a reduction because ΔXYZ is larger than its dilation, ΔX'Y'Z'.

But by how much? We can compare two sides such as XY and X'Y' to see.

      -> I am going to compare sides XY and X'Y' because they are fully vertical lines that we can count without needing to use a distance formula.

             -> XY is 8 units long

             -> X'Y' is 4 units long

      -> 8 / 4 is a scale factor of 2

Answer:

This is a reduction with a scale factor of 2.

solve for x, x/5 + 6 < 2

Answers

Answer:

x < -20

Step-by-step explanation:

1. x/5 + 6 - 6 < 2 - 6

2. x/5*5 < -4*5

3. x < -20

Since you are multiplying the equation by a positive number, you do not need to switch the inequality sign.

Please help!! Algebra!!

Answers

Answer:  6x - 3

Work Shown:

y = expression for the missing side

perimeter = 9x - 1

side1+side2+side3 = perimeter

(2x+4) + (x-2) + (y) = 9x - 1

3x+2 +y = 9x-1

y = 9x-1-3x-2

y = 6x - 3

Your teacher writes the fact below on the board.Using only mental math, will the answer be less than or greater than 5? How do you know?.
(5 × 7/8​

Answers

Answer:

Less than 5

Step-by-step explanation:

The eason behind the answer being less than 5 is because if you multiply something by a fraction that is less than a whole number, then you will get less than the original number you multiplied the fraction with.

Hope this helps :)

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