the sum of two numbers is 30 and their difference is 20. What are the two numbers?

Answers

Answer 1

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Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:

x + y = 30

The difference between x and y is 20. In other words, x minus y equals 20 and can be written as equation B:

x - y = 20

Now solve equation B for x to get the revised equation B:

x - y = 20

x = 20 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 30

20 + y + y = 30

20 + 2y = 30

2y = 10

y = 5

Now we know y is 5. Which means that we can substitute y for 5 in equation A and solve for x:

x + y = 30

x + 5 = 30

X = 25

Summary: The sum of two numbers is 30 and their difference is 20. What are the two numbers? Answer: 25 and 5 as proven here:

Sum: 25 + 5 = 30

Difference: 25 - 5 = 20

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Related Questions

Write an expression for the following: Chris is buying twice as many carrots as Maya, Maya is buying X carrots. Write an expression for how many carrots Chris is buying

Answers

Answer:

x*2=Chris

Step-by-step explanation:

It could be =C or something like that but since Maya is buying X carrots and Chris is buying twice that amount then it would be x*2=Chris

What is the ratio of water to drink mix?

Answers

Answer:

8:3

Step-by-step explanation:

it show that there is 8 cups of water and 3 of drink mix

Answer:

8:3

Step-by-step explanation:

yes

Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?

Answers

.5 meters. 250 centimeters is 2.5 meters, 1250 millimeters is 1.25 meters, 1.25 + 3.75 + 2.5 = 7.5. Hope this helps!

what is 5.625 in expanded form

Answers

Answer:

expanded notation form

5

+0.6

+0.02

+0.005

expanded factor form

5×1

+6×0.1

+2×0.01

+5×0.001

dont know which one you need, but there. hope this helps.

Only right answers get five stars and a thanks.

Answers

Answer:

y = 5/4x + 9

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

m = 5/4

Random point (-8, -1)

y = 5/4x + b

Step 2: Find y-intercept b

-1 = 5/4(-8) + b

-1 = -10 + b

b = 9

Step 3: Write linear equation

y = 5/4x + 9

Is 6,364 a reasonable product for 706×45

Answers

Answer:

I don't think so because I tried it and that's what I got

Step-by-step explanation:

Answer:

No, it is not. A reasonable product is 31,770.

Step-by-step explanation:

Ever heard of a calculator? It's way faster.

45 x 100 = 4,500

4,500 x 7 = 31,500

45 x 6 = 270

31,500 + 270 = 31,770

I will give you branilest!

The EPA estimated that in 2013, the average amount of garbage produced in the United States was 4.4 pounds per person per day. At that rate, how long would it take YOUR family to produce a ton of garbage? (A ton is 2,000 pounds.)

Answers

Answer:

my family has six people so 75.76 days

Step-by-step explanation:

multiply 4.4 with the number of people in your family, then divide 2000 by that number

example:

4.4 x 6= 26.4

2000/26.4 = 75.75 which rounds to 75.76

In an election, Ms. Duval got 534 votes, Mr. Smith got 507, and Mr. Fennig got 88. What percent of the vote did the winner get?

Answers

534+507+88=1,129
534/1,129=0.4729
The winner got 47.3% or 47%

Jamaal is mixing blue and yellow paint to make green. He adds 2 parts blue paint to 2 parts yellow paint.
For every 1 part blue paint, there
yellow paint.
Jamaal is not happy with thecolor and adds 1 more part of blue paint. This will make the green paint more

Answers

For every 1 part blue paint, there  

 

✔ is 1 part

yellow paint.

Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more  

✔ blue

.

what is the answer to 198=154+7x-68

Answers

Answer:

it is x=16

Step-by-step explanation:

HELP ME PLEASE !!!!!

Answers

Answer:

  C (and D)

Step-by-step explanation:

The multiplication property of equality says the value of the variable is unchanged when both sides of the equation are multiplied by the same value.

In A, no property of equality is involved. The two equations are for different lines.

In B, the subtraction property of equality is used to subtract 9 from both sides of the equation.

In C, the multiplication property of equality is used to multiply both sides of the equation by 3.

In D, the division property of equality is used to divide both sides of the equation by 5. (This is equivalent to using the multiplication property to multiply both sides of the equation by 1/5.)

__

If you're allowed one choice, the best selection is C. If multiple choices are allowed, both C and D are correct answers.

3 - +4 - = ?
4 4
OA.
3
7 -
4
OB.
4
3
8
OC.
8
OD. 7

Answers

The answer to this question is 8.


You just simplify it

Suppose a hawk can fly 78 miles in 3 hours. An owl can fly 99 miles in 4 hours. Which raptor can fly faster and by how much?

Answers

Answer:

The Hawk can fly faster

Step-by-step explanation:

First, take 78/3 that will give you the miles per hours the hawk flys.

78/3 = 26 miles/ per hour

Then, do the same for the owl.

99/4 = 24.75 miles an hour.

To find out how much faster the hawk in than the owl suntract the owls miles per hour from the hawks miles per hour.

24.75 - 26 = 1.25 miles faster

Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. What does the constant of proportionality, 42, represent in this situation? The constant of proportionality is 42.

Answers

Answer:

y=42h  or h=y/42

Step-by-step explanation:

The constant would be the number of yards of yarn required for each hat .

You are playing a video game. For each diamond you collect, you earn 100 points. You also earn 75 bonus points by completing the level in less than 2 minutes. You need to earn more than 1575 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

The data that we have is:

For each diamond, you earn 100 points.

If you complete the level in less than 2 minutes, you earn a bonus of 75 points.

You want to earn more than 1575 points.

Now, assuming that you want to write and solve n inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Because you end in less than 2 minutes, then you have the bonus of 75 points.

Then the number of points as a function of d, the number of diamonds, is:

P(d) = 100*d + 75

And you want that:

P(d) > 1575

100*d + 75 > 1575

Now we can solve this for d.

100d > 1575 - 75

100d > 1500

d > 1500/100

d > 15

You must collect more than 15 diamonds.

Given the function f(x) = 3x-7, which of the following represents f -1(x)?

Answers

-3x+7

Step-by-step explanation:

The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.

f -1(x)= -1(3x-7)

f -1(x)= -3x+7

Lynda regularly works a 40-hour work week and earns $16.00 per hour.
She receives time-and-a-half pay for each hour of overtime she works.
Last week she worked 43 hours.

a. What is her regular gross pay?

b. What is her hourly overtime rate?

c. What was her overtime pay?

d. What was her total pay for the week?

Answers

Answer:

Step-by-step explanation:

gross pay = 640

hourly overtime rate= 24

Overtime pay= 72

Total pay for the week= 712

Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712

What is Regular gross pay ?

Regular gross pay is that pay which the person earn on daily basis or it is a fixed amount which he gets after completing a month.

Here, We have to find out the regular gross pay which includes the daily earning of a person.

Lynda regularly works a 40-hour work week and earns $16.00 per hour.

So, her regular gross pay = number of hours × rate per hour

= 40 × $16

= $640

Hence, the gross pay = 640

Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712

Learn more about Regular gross pay;

https://brainly.com/question/13120187

#SPJ5

-2.30 as a fraction....

Answers

Answer:

Step-by-step explanation:

3 5/7

Answer: 23/10 or 2 3/10

Step-by-step explanation:

I used a calculator

ANSWER ASAP!!!!
The perimeter of a rectangle is 54 cm. The width is three cm more than the length. What are the dimensions of the rectangle?
The length of the rectangle is __ cm and the width is __ cm.

Answers

Answer: length = 12 width = 15

12 times 2 = 24

12 + 3 = 15

15 times two is 30

30 plus 24 is 54

evaluate W + 2 W + 1 when w equals 8​

Answers

Answer:

C: 25

Step-by-step explanation:

8 + 16 +1

Solve and yous should get.

25

Add this pair of numbers make sure your answer is fully reduced 1 1/2 + 1/6

Answers

Answer:

The answer to 1 1/2 + 1/6 is 1 2/3.

the answer would be 17/3

Lin has a drawing with an area of 20 in²

If she increases all the sides by a scale factor of 4, what will the new area be?

Answers

Answer:

320 in²

Step-by-step explanation:

Given that Lin has a drawing that has an area of 20 in², since Lin used a scale factor of 4 to increase all sides, therefore the new area would be increased by the following:

Square of scale factor of the side = scale factor of area

4² = scale factor of area

16 = scale factor of area

Multiply the original area by 16

20 × 16 = 320 in²

cuál es el factor de 81​

Answers

3, 9 , 27 y 81

Por lo tanto de los factores de 81 los múltiplos de 3 son 3, 9, 27 y 81

-33+2x= -6(1 + 5x) +5x

Answers

Answer:

=1

Step-by-step explanation:

answer you are asking for is 1

PLEASE HELP AGAIN ?! stuck :(

Write a compound inequality for the graph shown below. Use z for your variable.

Answers

Answer:

wat happened to yoi

are u fine

If ABCD = QRST , m∠A = x - 10, and m∠Q = 2x - 30, what is m∠A?

Answers

Answer:

m<A = 10

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

See https://brainly.com/question/11662137?referrer=searchResults

3 movie tickets, cost $36. At this rate, what is the cost per
ticket?

Answers

Answer:

$12 dollars a ticket

PLEASE HELP ME, I WILL GIVE U BRAINLY AND ALL MY POINTS AND THANKS FOR CORRECT ANSWER!!help me plzzzzzzzz

Orville and Jerri want to put a custom made, round table in their dining room. The table top is made of glass with a diameter of 85 inches. The front door is 36 inches wide and 80 inches tall. Orville thinks the table top will fit through the door, but Jerri does not. Who is Correct?

Answers

Answer:

I think it will fit

Step-by-step explanation:

36 + 80 = 116 which is more than 85

there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class​

Answers

Answer:

hope it helps you

Step-by-step explanation:

Let

A be the set of students in art class

B be the set of students in dance class

n(A) = 35    

n(B) = 57      

a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80

b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B)  = 35 + 57 = 92

60% of blank = 300

60 out of 300 = blank %

Answers

Answer:

500 = 100%

20% = 60

Step-by-step explanation:

300 = 60%

50 = 10%

500 = 100%

100% = 300

10% = 30

20% = 60

Hope this helps!

Answer:

60% of 750 = 300

60 out of 300 = 20%

I hope that this can help you ^‿^

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