The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?

Answers

Answer 1

Answer:

C & D. check the image just in case the order changes

Step-by-step explanation:

The Sum Of Two Positive Numbers Is 37, And Their Difference Is 7. If X And Y Represent The Unknown Numbers,
Answer 2

A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of the two positive numbers is 37, and their difference is 7.

Let x and y be the numbers:

x > 0 and y > 0

x + y =37

x - y = 7

The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.

After solving the above equation by elimination method:

2x = 44

x = 22

22 - y = 7

y = 22 - 7

y = 15

Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

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Related Questions

choices for the first select

∠7 or none of the angles

choices for the second select

is or is not

choices for the third select

is or is not

giving brainliest !!!!!

Answers

Answer:

1. None of the angles

2. Is not

3. Is not

Step-by-step explanation:

We can see if the triangles are congruent by ASA (angle, side, angle)

We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.

Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5

Answers

Answer: y= -2/7x-2

Step-by-step explanation:

To be parrell they have to have the same slope but different y intercepts.

so just put -2 so it will cross that point

Please help it would help a lot

Answers

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

7x – X – 1=4-7x + 21

Answers

Answer:

X=2

Step-by-step explanation:


Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000

Answers

Answer:

the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months

Hurry i need help!!!!!

Answers

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.

Answers

Answer:

She paid $67692.31 for the house originally.

Step-by-step explanation:

Let the initial cost of the house be [tex]x[/tex] dollars.

Given:

Selling price of the house (S.P) = $88000

Profit made = 30% of 'x' = [tex]0.30x[/tex]

We know that,

Profit = Selling Price - Original price

[tex]0.30x = 88000 - x[/tex]

Adding [tex]x[/tex] on both sides, we get:

[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]

Dividing both sides by 1.3, we get:

[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]

Rounding to 2 decimal places, we get:

[tex]x=\$67692.31[/tex]

Therefore, she paid $67692.31 for the house originally.

A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?

Answers

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Answers

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

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Evaluate this expression.
112.212 - (- 3.25)

Answers

Answer:

115.462

Step-by-step explanation:

Answer: 115.462

Step-by-step explanation:

To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.

Therefore, we now have:

112.212 + 3.25

115.462

Hope this helps!

Express the following to percentage into fractions.​

Answers

Answer:

65.2/100

Step-by-step explanation:

1/5 = 0,2

then:

65 1/5 = 65 + 0.2 = 65.2

65.2/100

Step-by-step explanation:

[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]

it comes to 325

Mrs. Garcia deposited $2500 into a new bank account. The bank pays 1.5% interest compounded annually on this account. She makes no additional deposits or withdrawals. How much is in her account at the end of 2 years?

Step-by-step explanation pls! :)

Answers

Answer:

$2575.5625

Step-by-step explanation:

2500*(1.015)^2

=$2575.5625

PLS GIVE BRAINLIEST

1st Year 2500*1.015=2537.5

2nd Year 2537.5*1.015=2575.5625

Solve using standard algorithm 12.2 * 4.

Answers

Answer and Step-by-step explanation:

12.2

*   4

____

48.8

4 times 2 is 8.

4 times 2 is 8.

4 times 1 is 4.

Remember to place the decimal.

#teamtrees #WAP (Water And Plant)

Answer:

48.8

Step-by-step explanation:

Do you guys know this

Answers

Answer:

18

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.

We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.

Choose the solutions to the quadratic equation
x2 - 8x - 9 = 0.
-21
ex? - 8x = 9 to
-1
9
29
DONE

Answers

29 I think but iam not sure if it’s right

Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will just have to pay for the jeans?

Answers

Answer:oyoyoyohkyhiibjgi

Step-by-step explanation:

ykhitrjhithihtrnht

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Answers

Answer:

C ≈ 18.85yd

Step-by-step explanation:

Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.

Answers

Answer:

131,040

Step-by-step explaination:

There is around 29-31 days in a month, so if you just round it's around 30 days a month.

30×6= 180 (days)

180×728= 131,040 ounces

jasons dog would drink 131,040 in 6 months.

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?

Answers

Answer:

yes

Step-by-step explanation:

you find the area by multiplying 38 X 112= 4,256

4,400 - 4,256= 144 left over

X^2 + 10x = 0
How do I solve for a completed square ?

Answers

Answer:

12x=0

Step-by-step explanation:

x=0 because it is

Answer:

x = 0 x = -10

Step-by-step explanation:

First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.

Secondly, you would factor it out and be with

(x + 0)(x +10)=0

Third, you would set each one equal to 0

x + 10 = 0 x + 0 = 0

Solve from there to get your two x's

x = 0 and x = -10

Which of the following shows (2x + y) 4 (4 is small) In expanded notation?

Answers

Answer:

8x+4y

Step-by-step explanation:

so use the distributive property and multiply 4 into (2x+y), so you get

(2x*4) + (y*4) = 8x + 4y

hope this helped

There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?

Answers

Answer:

Small=36

Large=13

Step-by-step explanation:

As given there are 49 dogs signed up

36 are small so the equation is

36+x=49

x=49-36

x=13

So 13 large dogs and 36 small dogs

Ima be doing this for the whole form sorry I’m failing math

Answers

Slope (m) = y/x = -3/2 = -1.5

Answer:

4,0 2,3 ans solutions this may help

PLEASEE HELPP WILL BRAINLIST find the output when x = 0

Answers

Answer:

output: 8

Step-by-step explanation:

since x=0 y would equal 8 which is the output.

Helpoooooooooooooooooooo

Answers

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

Help Me!! Please. Its important

Answers

Answer:

answer to 3 is

Step-by-step explanation:

1 hour = 0.7

2 hours = 1.4

3 hours = 2.1

4 hours = 2.8

5 hours = 3.5

6 hours = 4.2

7 hours = 4.9

8 hours= 5.6

9 hours= 6.3

10 hours= 7.0

11 hours = 7.7

12 hours =8.4

18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue

Answers

Answer:

Step-by-step explanation:

14

14.) Mr. Lovell was playing cards with his son. In the first round he earned 52

points. In the second round he lost 20 points. How would you write this as

an addition problem?

Answers

Answer:

That would be;

+52-20

Step-by-step explanation:

From the first part, he gained/earned 52 points

This is a positive so we have + 52

In the second round , he lost 20

This is a negative so we have - 20

Writing this as an addition problem, it will be;

+52-20

1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins

Answers

Answer:

1) 90 mi

2) 4 inch

Step-by-step explanation:

1)

Given that the distance between Fairview and Abbots Rise on the map = 5 in

Scale of the map = 1 in: 18 mi

i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.

Given that the map has a distance of 5 inches.

Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi

2) A particular satellite is 12 ft wide.

Model's scale = 1 in : 3 ft

i.e. 1 inch on map is equivalent to actual distance of 3 ft.

OR

3 ft of actual distance = 1 in on map

1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map

12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]

Can somebody help me with solve this question

Answers

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

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