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

find the sum of 9/10 and 5/6 write an equation?​

Answers

Answer: 1 11/15

Step-by-step explanation:

9/10 + 5/6

=  

 9 × 3

+--------

 10 × 3

5 × 5

-------

6 × 5

=  

27/30 + 25/30

=  

27 + 25

-----------

   30

=  

52/30

=  

52 ÷ 2

----------

30 ÷ 2

=  

26/15

=  

1 11/15

Answer:

Step-by-step explanation:

9/10 + 5/6 = 16/20

a basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?

Answers

Answer:

3 : 1

Step-by-step explanation:

120-90=30

90 mangoes

30 apples

90 : 30 divide both by 10

9 : 3 divide both by 3

3 : 1

HELP!!!!! It's REALLY easy, but you can't retake this practice assignment, so help

Answers

You are right. 5 is correct.

Solve for y 35 = 11y

Answers

Answer:

y=35/11

or

3.18 repeating

Step-by-step explanation:

Answer: 3.18181818182y

Step-by-step explanation:

You would do 11y divided by 11. Then 35 divided by 11.

That would get you 3.18181818182=y

                       

5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.

NEED THIS ASAP
NEED A EXAM DONE WILL PAY

Answers

Answer:

The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest

Answer:

Step-by-step explanation:

Premise:  If n is a positive integer, then 11ⁿ-6 is divisible by 5.

Let n=1.

11¹-6 = 5, so the premise is true for n=1.

Suppose the premise is true when n is an integer greater than 1,

then 11ⁿ-6 is divisible by 5.

11ⁿ⁺¹-6 = 11·11ⁿ - 6

   = (10+1)11ⁿ - 6

   = (10·11ⁿ) + (1·11ⁿ) - 6

   = (10·11ⁿ) + (11ⁿ - 6)

Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.

Proof by induction.

please help. I can't find answer.

Answers

Answer:

-1,5

Step-by-step explanation:

Your answer
د لمانية
2
w
Is the answer 2?

Answers

Answer:

yes 2 is the answer yes yes yes yes

−3.64⋅|−5.3|−1.5^3

help pls

Answers

Answer:

5

Step-by-step explanation:

its 45

Answer:

-22.667

Step-by-step explanation:

-3.64(5.3) - (1.5)³

-19.292 - 3.375 = -22.667

Kelly wants to buy cupcakes for her family. The radius of the cupcake is 12
inches, what is the distance around the cupcake? *
Your answer

Answers

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water?

Answers

It all started when my mom met my dad...

You'll know the rest

Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.

Answers

A is your answer bc the -2 directly affects the x value and since its negative it will move left

Answer:

Your answer is A

Step-by-step explanation:

The graph of y = f(x) will shift left 2 units.

Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices

A.No answer text provided.

B.5z

C.4z3 + 5z2 + z

D.4z3 + 5z2

E.9z2 + z

Answers

I know the answere it is c

don’t understand, plz explain very urgent

Answers

Basically you have to use trigonometry to solve this. You will be using a sine ratio. Type sin-1(36/43). Use the 2nd button to do this. Your answer should be 56.84659158 but round to 57.

Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually

Answers

Answer:

A 20% decrease I believe

Step-by-step explanation:

So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%

I just learnt this in math today so I hope it helps you and I hope it's correct :>

0.7k − 1.6 ÷ 2 − 5.2 = 1.7 − 0.7

Answers

your answer is k=10 the step by step is kn the picture

Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog

Answers

Answer:

$1.65

Step-by-step explanation:

1.25 x 4 = 5.00

18.20 - 5.00 = 13.20

13.20 / 8 = 1.65

they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8

In the year 2005, there were 100 rabbits in a particular region. Since then, the population has increased by 3.4% per year. Write an expression that represents the rabbit population in the year 2025, and solve it.

Answers

Answer:

Step-by-step explanation:

Your answer

Ok, lets do it systematically.

2005– 100 rabbits

3.4 % per year increasement.

So every year it increase 0.034 *100 = 3.4 per year

Total 2025-2005= 20 years

So expression is : 0.034*100*year(20)

Answer is : 3.4*20 = 68. So, in 2025, total rabbits will be 168

Mark it as Brainlist answer. Follow me.

2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz

Answers

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

PLEASE HELP I WILL GIVE YOU BRAINLIEST

Answers

Answer:

yoo echo stop deleting my answers  bro

Step-by-step explanation:

7/8 Of the distance between two cities is 147 miles. How far apart are the two cities?

Answers

Answer:

168

Step-by-step explanation:

First, find the unit rate (the amount it increases with every 1/8)

147 ÷ 7 = 21

Next, multiply that by the denominator (8)

21 x 8 = 168

The answer is 168

Answer:

1/168

Step-by-step explanation:

hope this is right but you divide both of them

write an expression for the operation described below subtract v from 2

Answers

Answer:

2 - v

Easy method: plug in v with some other number and see how it rolls out

Answer:

Hi how are you doing today Jasmine

150 into the ratio 4:11

Answers

9514 1404 393

Answer:

  40 : 110

Step-by-step explanation:

There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...

  150/15 = 10

Then the division is ...

  4 : 11 = 10·4 : 10·11 = 40 : 110

_____

Alternate solution

Let x represent the larger share. Then the ratio is ...

  (150 -x) : x = 4 : 11

Cross-multiplying gives ...

  11(150 -x) = 4x

  1650 = 15x . . . . . add 11x, simplify

  110 = x . . . . . . . . . divide by 15; the larger share

  150-x = 150-110 = 40 . . . . . . the smaller share

The division is 40 : 110.

What was Dakota’s height?

Answers

Answer:Um her height is 5′ 4″

Step-by-step explanation:

Dakota height is 5’4 i believe. If not my bad

Define/explain the Pythagorean theorem.

Answers

Answer: The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. It's a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Step-by-step explanation:

Answer:

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15

Answers

Answer:

yes

yes

no

yes

Step-by-step explanation:

Triangle RST has vertices R(-3,2), S(0,-5),and T(4,5).When translated R’ has coordinates (4, 1). Find the coordinates of S’ and T’.

Answers

C bc I just did dis text

10 Determine the area of the figure. 9 cm 6 cm 12 cm​

Answers

Answer:

Area= 648

Step-by-step explanation:

Area formula: L times W times H

9 times 6 times 12        :)

When the length, width, and the height is given so the area of the figure is considered to be 648.

Calculation of an area:

Since the length is 9cm

The width be 6 cm

And, the height is 12 cm

So, the area be like

= (9) (6) (12)

= 648

Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.

Learn more about an area here: https://brainly.com/question/20882229

What is the slope of the line below?
(5,5)
(5,-2)
A. zero
B. negative
C. undefined
D. positive

Answers

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

a cube has a lateral surface area of 64sq m find the total surface area of the cube

Answers

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

64 x 6 = X

384 = X

Thus, the area of the cube is 384 square meters.

cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2​

Answers

Answer:

Lo resuelves como de costumbre :)

Step-by-step explanation:

Answer:

218

Step-by-step explanation:

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