let x represent one number and let y represent the other number. use the given conditions to write a system of equations. solve the system and find the numbers. three times a first number decreased by a second number is 22. the first number increased by twice the second number is 12.

Answers

Answer 1

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

The relevant equations are ...

  3x -y = 22

  x +2y = 12

__

We can eliminate y by adding twice the first equation to the second.

  2(3x -y) +(x +2y) = 2(22) +(12)

  7x = 56

  x = 8

Substituting into the first equation gives ...

  3(8) -y = 22

  y = 24 -22 = 2

The first number is 8; the second number is 2.


Related Questions

Help plz:)))I’ll mark u Brainliest

Answers

Pretty sure the correct answer is x=18

Hope this helps!! :)

The sum of two numbers is 54. The smaller number is 14 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

larger number: 34

smaller number: 20

Step-by-step explanation:

54= y+y-14

54= 2y - 14

54+14 = 2y

68 = 2y

68/2 = 2y/2

34 = y, the larger number

y - 14 = 34-14 = 20 the smaller number

Help its pre-algebra haha help plz

Answers

Answer:

8 ramen bowls

4 pho bowls

Step-by-step explanation:

12-4=8

12(x+1/6)=8 solve for x

Answers

X = 1/2 or X = 0.5.
The value of x is 1/2
Working shown below:

which graph represents exponential decay​

Answers

The top one. Exponential decay means going down very quickly, like a steep line.

Exponential growth is going up, by the way.

Please help, I will give brainliest.

Answers

Answer:

I believe it is c but don't quote me on it

c! HOPE THIS HELPS.

what is the mesaure of angle a

Answers

Answer:

i think its 133

Step-by-step explanation:

i just subtracted 47 from 180 bc the straight line is 180 angle

The function f(x) = 400 * (1.2) ^ x models a population of mice after x years. What will the population be in 7 years ?

Answers

Answer:

Step-by-step explanation:

400×1.2⁷ ≅ 1433 mice

WILL MARK BRAINLYIST

Answers

Answer:

a= 158

b=22

Step-by-step explanation:

First we have to find b in order to find a.

To find b we need to add up the two angles we know the value of and subtract it from 180.

90+68= 158

180-158=22

We know b is 22 because the sum of all angles in a triangle is always 180.

Now that we have b we can find a.

we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.

Answer:

b is 22° and a is 158°

Step-by-step explanation:

b can be calculated by angle sum property and a can be calculated using exterior angle sun property

pls help
the answer choices for the first one is.. added , subtracted
the second one is.. added , subtracted
the third one is.. added , subtracted

tysm <3 i’ll mark brainliest

Answers

i’m pretty sure it’s added, subtracted, added !


The second one Thank you

Answers

11 days for the second question

12 The length of each side of regular pentagon
ABCDE is represented by 3x + 1. Which
expression represents the perimeter of the
pentagon?
A. 3x + 5
B. 15x + 1
C. 18x + 6
D. 15x + 5

Answers

Answer:

the answer is number b 15x + 1

The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease

Answers

Answer:

500$ dollars

Step-by-step explanation:

What is the measure of the missing angle
in the triangle below?
38
A 58°
B 52°
C 48°
D 42°

Answers

Answer:

B. 52°

Step-by-step explanation:

x + 38 + 90 = 180

x + 128 = 180

x = 180 - 128

x = 52°

Which statement is true about the points shown on the number line.

Answers

Answer:

The top right one is correct

Step-by-step explanation:

Hope I helped

Answer: the top right answer is correct.

Step-by-step explanation:

-3=x/20 (solve) (math)

Answers

Answer:

x=-60

Step-by-step explanation:

Answer:

x=20+3

=23

x=23

Step-by-step explanation:

when the -3 crosses the equal to sign is changes to positive the rest is self explanatory

Another word for x-intercepts?

Answers

Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Another word for "x-intercepts" is "roots" or "zeros." These terms are commonly used in the context of mathematics, particularly when dealing with functions or equations.

X-intercepts, roots, or zeros of a function are the values of the independent variable (usually denoted as "x") for which the function evaluates to zero.

In other words, they are the points on the graph of the function where it intersects the x-axis, hence the name "x-intercepts."

Mathematically, for a function f(x), the x-intercepts are the solutions to the equation f(x) = 0.

Finding the x-intercepts of a function is essential in graphing, solving equations, and understanding the behavior of the function.

These points represent the locations where the function crosses or touches the x-axis, indicating where the dependent variable (usually denoted as "y") is equal to zero.

Learn more about X-intercepts click;

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The table shows the amount of apple
sauce made from one apple of each size.
Patrice has 17 medium apples and 23
large apples. What is the total amount
of apple sauce that she can make with
these apples?

Answers

Answer: 103/4 or 25.75 cups.

Explanation: We need to find the sum of the two types of apples times the cups of apple sauce one can make with them.

Thus, we have (1/2 cups*17 medium apples)+(3/4 cups*23 large apples)=103/4 or 25.75 cups.

Patrice can make a total amount of 25.75 cups of apple sauce.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Patrice has 17 medium apples and 23 large apples.

Amount of apple sauce form a small apple = 1/3 cup

But Patrice does not have any small apples.

Amount of apple sauce from a medium apple = 1/2 cup

Amount of apple sauce from 17 medium apples = 17 × 1/2 cups

                                                                               = 8.5 cups

Amount of apple sauce from a large apple = 3/4 cup

Amount of apple sauce from 23 large apples = 23 × 3/4 cups

                                                                            = 17.25 cups

Total apple sauce made from 17 medium apples and 23 large apples = 8.5 cups + 17.25 cups = 25.75 cups

Hence the total amount of apple sauce that Patrice can make is 25.75 cups.

To learn more about Multiplication, click :

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In AJKL, the measure of ZL=90°, LK = 12, KJ = 37, and JL = 35. What ratio
represents the secant of K?

Answers

Answer:

37/12

Step-by-step explanation:

sec A hyp/adj

For angle K, the adjacent leg is LK. JK is the hypotenuse.

sec K = hyp/adj

sec K = 37/12

The sum of 3 consecutive even interfere is 258. What is the smallest number

Answers

Answer:

85 is the smallest number

Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
an hour. How many hours was the bus worked on?

Answers

Answer:

4 hours

Step-by-step explanation:

72+12x=120 and when you isolate x you get x=4

7-1 Mathematical Literacy and Vocabulary Dilations

The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.

What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.


Read the problem. What do you need to find to solve the problem?​

Answers

Answer: Coordinates of the vertices of the vertices of the given imagen.

Find the value of x so that the ratios are equivalent.
3:x and 12:40
X=
help pls

Answers

Answer:

10

Step-by-step explanation:

Divide both sides by 4

6 Which expression below has a coefficient of 3?
A. 5r?+ 9
B. 2x - 3
C. 2x2 + 3x - 6
D. 3
g++4

Answers

Answer: C.

Step-by-step explanation:

C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)

The ages​ (in years) of a random sample of shoppers at a gaming store are shown. Determine the​ range, mean,​ variance, and standard deviation of the sample data set.
​, ​, ​, ​, ​, ​, ​, ​, ​,

Answers

Yeaaaa .....................

PLEASE HELP QUICK!!! GIVING BRAINLEST OUT

Answers

Answer:

44

Step-by-step explanation:

Answer:

use the pythagorean theorem to solve for the sides and the degree for both triangles so your using cos sin or tan im not sure which one

Step-by-step explanation:

i really hope this helps the question is really vague im sorry if this wasnt a help

sin(θ) = Opposite / Hypotenuse

cos(θ) = Adjacent / Hypotenuse

tan(θ) = Opposite / Adjacent

What is sample mean of 6,7,1,9,2,4,5,5,3,3,7,8

Answers

Answer:5 and 3

Step-by-step explanation: They are tho samples bc they are the ones tht are duplicated (x2)

At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

Which is a possible solution for -4 LaTeX: >> X

Answers

[tex] \text { > }[/tex]

\tex {>} is to be written

8. Find the value of x in the isosceles triangle.

Answers

X is 15 inches long.
Work is shown in the picture
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