The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.

Answers

Answer 1

Answer:

9 and 21

Step-by-step explanation:

setting up the equation

let x and y represent the two numbers

this means that x + y = 30

x - y = 12

using substitution to solve

if x - y = 12, that can be rearranged to x = y + 12.

substitute x = y + 12 into x + y = 30

you get (y + 12) + y = 30

simplify

2y + 12 = 30

2y = 18

y = 9

plug this into the original equation x + y = 30. this would be

x + 9 = 30

x = 21

the numbers are 21 and 9.


Related Questions

An item is regularly priced at $29. It is on sale for 80% off the regular price.

Answers

And the question is????

Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces

Answers

Answer:

110 ounces :))

Step-by-step explanation:

For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.

Answers

If she was to sell three computers she gets 147.75

write me 2 equivalent fractions of 3/4=_=_

Answers

Answer:

6/8 and 12/16

Step-by-step explanation:

Important: 3/4 looks like a fraction, but it is actually an improper fraction.

There is an infinity number of equivalent fractions to 3/4. To find an equivalent fraction to 3/4 , or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By multiplying the original fraction by 2, we get:

3x2/3x2=6/8

List of Equivalent Fractions of 3/4:

3/4, 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80 ...

On a basketball court the free throw line is marked off geometrically this area of the court is called a key and is topped
by a semi circle that has a diameter of 12 feet find the arc length of the semi circle to the nearest foot find the area of a semi circle to the nearest square foot

Answers

Step-by-step explanation:

Arc length formula is

[tex]s = rx[/tex]

where x is radinas.

A semi circle has a radian measure of

[tex]\pi[/tex]

The radius is half of the diameter, 12 so the radius is

[tex]12 \times \frac{1}{2} = 6[/tex]

So the arc length is

[tex]6 \times \pi = 6\pi[/tex]

Area of semi circle is

[tex] \frac{1}{2} \pi {r}^{2} [/tex]

where r is the radius.

[tex] \frac{1}{2} \pi6 {}^{2} [/tex]

[tex] \frac{1}{2} 36\pi[/tex]

[tex]18\pi[/tex]

Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<2+m<3

Answers

The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

Linear Pair/Angles on a Straight LineTwo angles on a straight line can be referred to as a linear pair.The sum of the angles of a linear pair equals 180 degrees (supplementary angles)

Thus,

∠1 and ∠2 are on a straight line, therefore,

m∠1 + m∠2 = 180°

∠2 and ∠3 are on a straight line, therefore,

m∠2 + m∠3 = 180°

Thus:

m∠1 + m∠2 = m∠2 + m∠3

Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.

Learn more about linear pair on:

https://brainly.com/question/13218054

What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?

Answers

log5(4*7)+log5(2)=log5(28)+log5(2)=log5(56)

Answer:

Its D

Step-by-step explanation:

just took the test

Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?

Answers

Answer:

$295

Step-by-step explanation:

2950 · 0.10 =  295

Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6

Answers

Answer:

3 months

a quarter is a period of three months

Step-by-step explanation:

What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1

Answers

4(2)+4 =
8+4= 12
Input 2 into the space of the X since it’s together it will be multiplication. Do the same with Y. Then add and you’re done :)

Find the perimeter of the rectangle

Answers

Answer:

70

Step-by-step explanation:

Find the perimeter of the rectangle

add the lengths of the rectangle's four sides

24 + 11 + 24 + 11 = 70

Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?

Answers

Answer:

56 handshakes

Step-by-step explanation:

one person shakes seven hands

eight people shook seven hands each

8×7=56

2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ

Answers

The ANSWER for this question is 2+2=4

UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol

Which value of x makes the following equation true?

4.8(x - 4) = -0.2x + 15.8
A. 6
B. 10
C. 7
D. 9

Answers

Answer:

C

Step-by-step explanation:

multiply through by 10

10{4.8(x-4)} = 10(-0.2x) + 10(15.8)

48(x-4) = -2x + 158

48x - 192 = -2x +158

48x + 2x = 158 + 192

50x = 350

divide through by 50

x=350/50

x=7

therefore, answer = C

write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of Y= 3x -5 that passes through point (8,5)

Answers

Answers are highlighted in blue. If you have any questions feel free to ask!

Express as a single power.

Answers

a) 1

b) -5

c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]

Describe the location from the origin of each point in problem 5

Answers

Elaborate, where’s the picture of the problem?

X is y% of what number?

Answers

Answer:

42

Step-by-step explanation:

yeah-ya.......... right?

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Step-by-step explanation:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

1. It is a way of comparing two or more quantities having the same units. * 1 point O a. decimal O b. addends . O c. ratio O d. numerals 2. Which of the following fractions is appropriate equivalent fraction of 3/4. 1 point O a. 4/8 O b. 9/12 O c. 10/15 Oc O d. 12/17​

Answers

Answer:

Step-by-step explanation:

Equivalent fractions for 1/4

From this chart, we can observe that the equivalent fractions of 1/4 are: 2/8, 3/12, 4/16,... Two fractions are said to be equivalent if their values (decimal/graphical) are the same. We usually multiply the numerator and denominator of a fraction by the same number to get its equivalent fraction.

Two motorcyclists, who start their journeys at the same instance from two different cities,
travel with uniform speeds of 40 km/h and 50 km/h respectively towards each other. If they meet
each other after 1.5 hours after commencing their journeys, find the distance between the two
cities.
QUICK

Answers

Answer:

54

Step-by-step explanation:

Determine the slope of the line that contains the given points. E(-5,6), (4, -3) *
1 point
Your answer

Answers

Answer:

-1

Step-by-step explanation:

Use the slope formula to calculate

-3-6/4-(-5)

= -9/9

= -1 (Slope)

Much help needed thanks!

Answers

The correct answer is D comment if you need me to show the work/ explain


Help pls ASAP
SOLVING QUADRATIC EQUATIONS BY FACTORING

Answers

Answer:

Down, Down, Right, Right, diagonal left, up, right

Step-by-step explanation:

Not gonna do every equation here tho lol

4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)


1.
Oliver owes his sister $27.

2.
A building is 38 feet tall.

3.
Erica jumped 2.7 feet above ground.

4.
The scuba diver was 38 feet below sea level.

5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7

Answers

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

please help ill mark brainliestl​

Answers

Answer:

A) Yes...ABC and GFC are similar using AA.

Step-by-step explanation:

points frreeeeeeeeeeeee :)

Answers

Answer:

thx m8

Step-by-step explanation:

:)

Answer:

No idea but ok

What is the area of a rectangle that has side lengths of 7 yard and yard?
10 square yard
18
20
square yard
15
24 square yard
8
square yard

My Progress
Copyright 2021 by Curriculum Associates. All rights reserved. These materials, or any portion thereol, may not be reproduced or shared in any manner without express written consent of Curriculum Associates

Answers

is it like mutiplying and dividing

The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.

What is the rectangular shape?

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,

the area of the rectangle = length x width of the rectangle.

Substituting the value of the side lengths to the formula,

The area of the rectangle = 7 x 3

The area of the rectangle = 21 square yards.

Therefore, the area is 21 square yards.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ7

1300 divided by 2 in hurry

Answers

Answer: 650

Step-by-step explanation:

1300 divided by 2 is 650

If you are psting your questions from an assignment i hope that its not against tos

Answer:

650

Step-by-step explanation:

this is the answer have a great day now!

Multiply. −2(−5)(−3)

Answers

Answer: -30

Step-by-step explanation:

-2 X -5 = 10

10 X -3 = -30

Therefore, -2(-5)(-3) = -30

The multiplication of −2(−5)(−3) is -30

The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.

From the given question, we are to multiply:

= - 2 × (-5) × (-3)

= +10 × (-3)

= -30

Learn more about the multiplication of numbers here:

https://brainly.com/question/1755985

Other Questions
What is the value of the expression 2/5m1/3 when m = 3?1/1513/1523/15I don't know. Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many tala would she get if she exchanged $6? How many fish are in the aquarium in the restaurant? 12 5 x-10 what is the value of x 6x+a= 5(x+f) make x subject A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga. (Topic: Vectors) - Prove that ADE is a straight line You rent an apartment that costs $1600$1600 per month during the first year, but the rent is set to go up 11% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary). m is a positive integer and n is a negative integer. Which of these is always positive?(picture posted below)A. Only (i)B. Only (ii)C. Both (i) and (ii)D. Cannot sayS ANSWER ASAP!! ILL MARK U BRAINLIEST!!! I need help with this Last month, Koreys Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Koreys net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%. 4x+4 =What is the answer to this please help what is meant by the term symbol of an element? calculate the state income tax owed on a $50,000 per year salary (answer is not 2500) help me find the derivative someone answer this pls for me When you are getting too cold,goosebumps and shivering leads toheating of your body. Which type offeedback loop is this?a negative feedback loop3a positive feedback loop What is the solution to this problem In the equation, y=3x+2, is the point (2,8) a solution the equation?1: Yes, the point is solution2: No, the point is not a solution Name an example of a real life use of the sine graph.