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?

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.

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.

Learn more about this concept here:

https://brainly.com/question/17023448

#SPJ2

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.

Answer:

4,0 2,3 ans solutions this may help

Answer:

output: 8

Step-by-step explanation:

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

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

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!

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

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).

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.

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

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

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

Answer:

yes

Step-by-step explanation:

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

4,400 - 4,256= 144 left over

Answer:

Step-by-step explanation:

14

Answer:oyoyoyohkyhiibjgi

Step-by-step explanation:

ykhitrjhithihtrnht

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]

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

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.

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

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

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

Answer:

C ≈ 18.85yd

Step-by-step explanation:

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

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

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:

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

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.

Answer:

X=2

Step-by-step explanation:

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