3x − 2y = 18
y = 2x − 13

Answers

Answer 1

Answer:

x = - 8

3x - 2y = 18 is the same as 3x - (2x - 13 times 2) = 18

Then I used an algebra site for the rest.

It should be x = - 8

Answer 2

I'm guessing you want x and y solved.

Answer: x=10 and y=6

Explanation:

For X: Substitute the y-equation (y-2x-13) into the first equation (3x-2y=18) so your equation is 3x-2(2x-13)=18. Do the distribution property and the equation will be 3x-4x+26=18. Put like terms on the same side of the equal sign and combine like terms (subtract 26 on both sides) and the equation will be -x = -10. To make x positive, make both sides positive and you get x=10.

For Y: Substitute your x answer (10) into the first equation (3x-2y=18) and you will get 30-2y=18. Subtract 30 from both sides and you get -2y=12. Divide both sides by the common factor of -2 and you get y=6.


Related Questions

175 plus what equals 405

Answers

Answer:

i hope this answers your question!

Step-by-step explanation:

175+x=405

Step 1: Simplify both sides of the equation.

x+175=405

Step 2: Subtract 175 from both sides.

x+175−175=405−175

x=230

The number that, when added to 175, equals 405 is 230.

To find the number that, when added to 175, equals 405, we can subtract 175 from 405. This will give us the missing number.

405 - 175 = 230

Therefore, 175 plus 230 equals 405.

To explain this process further, we can think of subtraction as the inverse operation of addition. By subtracting the known quantity (175) from the total (405), we are left with the missing quantity (230).

In other words, if we start with 175 and add 230 to it, we will end up with the desired sum of 405. This demonstrates the relationship between addition and subtraction and allows us to determine the missing number needed to reach the target sum.

To learn more about the addition;

brainly.com/question/29464370

#SPJ6

Using properties of parallelograms, RSTU is a parallelogram that has vertices R (-3,1), S (3,4), and T( 6,2(. What are the coordinates of point U.

Answers

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

determine the scale factor of the dilation, if OA = 8 and OA' = 32

Answers

Answer:

The scale factor is 4

Step-by-step explanation:

32(end product) divided by 8(original) = 4

Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{32}{8}[/tex] = 4

What is the square root of ten

Answers

Answer:

The square root of 10 is 3.16

Step-by-step explanation:

I hope that this helps you out..

A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?

Answers

Answer: 240 students

Explanation:

320 ÷ 8 = 40 (40 groups of 8)

40 x 6 = 240

Answer:

Reasonable prediction = 240 students

Step-by-step explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{1920}{8}\\x=240[/tex]

Hence,

Reasonable prediction = 240 students

Translate the statement into an algebraic expression. (Use "w" as a variable. Do not use "$" in your answer.

Mike had $184 and he is earning $50 per week.

Answers

Answer:

Cost = 184+50w

Step-by-step explanation:

Given statement is "Mike had $184 and he is earning $50 per week".

Here, $184 is fixed and $50 increases per week.

Let w is the variable.

ATQ,

Cost = 184+50w

Hence, the algebraic expression for the given statement is 184+50w.

NOT GRADED.
FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.​

Answers

Answer:

The angle in the box is always 50 and that other acute angle is 46

Hope this helps

Step-by-step explanation:

Answer:

m∠B = 44°

Step-by-step explanation:

∑ of all angles in a triangle = 180°.

Note that m∠C = 90° (based on the definition of a right angle).

Note that m∠A = 46° (given).

Set the equation:

Total (180) = 90 + 46 + m∠B

Isolate the term, m∠B. First, simplify. Combine like terms:

180 = (90 + 46) + m∠B

m∠B + (136) = 180

Next, note the equal sign, what you do to one side, you do to the other. Subtract 136 from both sides:

m∠B + 136 (-136) = 180 (-136)

m∠B = 180 - 136

m∠B = 44°

44° is the measurement of the indicated angle B.

~

HHHEEEELLLLLP!!!!!!!!
Compare these rational numbers. Which of the following are true?

Answers

The answer is ii and iii

Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
10
8

Answers

Answer: 10^2+ 8^2
= 100+64
=164

sally collected 15 seashells, but 1/3 were broken. how many shells were broken?

Answers

I have the same question and I have no idea sorry

Answer:

5 shells were broken.

Step-by-step explanation:

To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.

1/3 * 15=5

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706

Answers

Answer:

0.1402

Step-by-step explanation:

For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.

This means that [tex]p = 0.44[/tex]

Suppose researchers choose 7 baby elk at random to monitor.

This means that [tex]n = 7[/tex]

What is the probability that more than 4 elk in the sample to survive to adulthood?

This is:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]

[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]

[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]

0.1402 probability that more than 4 elk in the sample to survive to adulthood.

Using the concept of binomial probability, the probability that more than 4 survive is 0.1402

Using the binomial probability formula :

[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex]

p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7

The probability that more than 4 survive can be defined thus :

[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]

Using a binomial probability calculator :

[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]

[tex] P(x > 4) = 0.1402 [/tex]

Hence, the probability that more than 4 survive is 0.1402

Learn more : https://brainly.com/question/15929089

382 3/10- 191 87/100

Answers

Answer: 382 3/10- 191 87/100= 190 43/100

Simple math hope it helps u

Step-by-step explanation:

Please help me. I'm only in like 4th grade and I have no idea what to do.

Answers

Answer:

it false

Step-by-step explanation:

trust me

Answer:

your answer is True. for a explanation look under this.

Step-by-step explanation:

Hello let's work out this problem together

lets split this in half so 112/8 plus x and 15 + 4x -7

let's start off with part one 112/8 = 14 plus 2 is 16.

now part 2

15 + 4 times 2 -7

15 plus 8 -7

15 plus 1 = 16

Find the value of X URGENT!

Answers

Answer:

x=13

Step-by-step explanation:

45=3x+6

3x=39

x=13

32) Write a compound inequality that represents the given graph:



A. 6≤x 10
D. 6

Answers

Answer:

6 < x ≤ 10

Step-by-step explanation:

The graph given shows that the possible value of x greater 6 (does not include 6 because the circle is not full) and also is less than or equal to 10 (includes 10 because the circle is full).

That is: x > 6 and x ≤ 10

This can be written as: 6 < x ≤ 10


There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is

Answers

Answer:

(-2,0) and (1,0)

Hope this helps!

an account executive earns 600 per month plus 3% commission on sales. the executive's goal is to earn $2400 this month. how much must she sell to achieve this goal?

Answers

Answer:

$60,000

Step-by-step explanation:

Given :

Monthly earning = $600

Commission = 3%

Month's goal = $2400

Let total sales for the month = x

Hence,

Monthly earning + (commission * total sales) = monthly goal

600 + (0.03 * x) = 2400

600 + 0.03x = 2400

0.03x = 2400 - 600

0.03x = 1800

x = 1800 / 0.03

x = $60,000

I really need help on this if you can show me how you got the answers as well thank you

Answers

Answer:

You included the zero from right side of decimal point, which you shouldn't have.

Answer:

You take the percentage times the total of money you have.

Housing is the cost of $465.75 ( 27%x $1725)

Food is the cost of $345 (20%x$1725)

Clothes is the cost of $155.25 (9%x$1725)

Gifts is the cost of $120.75 (7%x$1725)

Transportation is the cost of $224.25 (13%x$1725)

Entertainment is the cost of $86.25 (5%x$1725)

Miscellaneous is the cost of $51.75 (3%x1725)

Insurance is the cost of $86.25 (5%x%1725)

Health is the cost of $51.75 (3%x$1725)

Savings is the cost of $138 (8%x$1725)

Im so so sorry of this is wrong!!

I hope it helps if it is right!!

PLEASE HELP ME I WILL GIVE BRAINLIST just with number 6

Answers

Answer:

ima say 200 but I'm not 110 percent sure

Explain the similarity and differences of standard normal distribution and a normal distribution. 

Answers

Answer:

Okau

Step-by-step explanation:

Normal distributions can have any mean and any (positive) standard deviation. The standard normal distribution is the one with mean zero and standard deviation one. The standard normal distribution is just a normal distribution scaled/standardized by the z-formula.

The equation y-2/3=-2(x-1/4) is written in point slope form. What is the equation in slope-intercept form ?

Answers

Answer:

y = -2x + 7/6

Step-by-step explanation:

y-2/3=-2(x-1/4)

Distribute the -2

y-2/3=-2x+ 2/4

y - 2/3 = -2x + 1/2

Add 2/3 to each side

y - 2/3 + 2/3 = -2x + 1/2 + 2/3

Get a common denominator

y = -2x + 3/6 + 4/6

y = -2x + 7/6

Answer:

y=-2x+7/6

Step-by-step explanation:

The equation for point-slope is y-y1=m(x-x1), where (x1,y1) are one of the points on the line.

y-2/3=-2(x-1/4)

(1/4, 2/3) is the point and the slope is -2

The equation for slope-intercept is y=mx+b, where m is the slope and b is the y-intercept.

y=(-2)x+b **Substitute the slope into m**

(2/3)=-2(1/4)+b **Substitute the points in as x and y**

2/3=-2/4+b

14/12=b **Add 2/4 to both sides**

14/12 is the same as 7/6

7/6 is the y-intercept

y=-2x+7/6

Someone help me quick​

Answers

Answer: x > - 18

Step-by-step explanation:

x>-18




first multiply both sides

then multiply reduce

then arrange and thats the answer

hope this helps <3

Re-write the expression
as a product with the
greatest common factor.
(54 +99)

Answers

Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
Find the prime factorization of 99
99 = 3 × 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3
GCF = 9

How are the signs of the coordinates of A and F related?

Answers

Answer:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Step-by-step explanation:

A ( -2 , 4)      F (2 , -4)

2 ways:

1. A rotate 180° counterclockwise    (x,y) --> (-x,-y)  or

2. A reflect about the origin (0,0)     (x,y) --> (-x,-y)

Wish this is right...

Answer:

The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.

Step-by-step explanation:

!!edmentum answer!!

x-2y what is the coefficient of x

Answers

Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and yellow
paint are needed to make 21 pints of the green paint?

Answers

Answer:

[tex]Blue = 12[/tex]

[tex]Yellow = 9[/tex]

Step-by-step explanation:

Given

[tex]Blue : Yellow = 4 : 3[/tex]

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

[tex]Total = 4 + 3[/tex]

[tex]Total = 7[/tex]

The blue and the yellow pint can be represented individually as:

[tex]Blue = \frac{4}{7} * Green[/tex]

[tex]Yellow = \frac{3}{7} * Green[/tex]

Number of blue paint calculated last week is:

[tex]Blue = \frac{4}{7} * 21[/tex]

[tex]Blue = {4} * 3[/tex]

[tex]Blue = 12[/tex]

[tex]Yellow = \frac{3}{7} * Green[/tex]

[tex]Yellow = \frac{3}{7} * 21[/tex]

[tex]Yellow = {3} * 3[/tex]

[tex]Yellow = 9[/tex]

Laura took out a loan of $25,000 for a term of 60 months ( 5years) at an interest rate 7.5% use th amortization table provided to complete the statement

Answers

Answer:

Laura's monthly payment will be $501, and her total finance charge over the course of the loan will be $5,060.

Step-by-step explanation:

Given that in a 5-year loan with an annual interest of 7.5%, the monthly payments for every $ 1,000 are $ 20.04, taking into account that Laura took a loan of $ 25,000, to determine the monthly payments and the total interest to be paid, they must be made the following calculations:

20.04 x 25 = X

501 = X

Thus, the monthly payments that Laura will have to make will be $ 501.

(501 x 12 x 5) - 25,000 = X

30,060 - 25,000 = X

5,060 = X

In turn, the total finance charge will be $ 5,060.

What is the 20th term of the sequence: -4, -8, -12,​

Answers

Answer:

-80

Step-by-step explanation:

Trust me

I need help with this

Answers

Gradient is 1/4 or 0.25

Answer:

1/4

Step-by-step explanation:

As 4 units move to the right, 1 unit goes up. Using the formula for slope:

Rise / Run

The gradient of the blue line is 1/4 or 0.25

If two angles are supplementary and one angle is 81°, what does the second angle measure?

Answers

Answer:

Step-by-step explanation:[tex]\geq \\ \sqrt{x}[/tex]

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