Write a system of equations that represents the given equation then find the two numbers

The sum or two numbers is 68. The difference is 12

Answers

Answer 1

Answer:

40 and 28

Step-by-step explanation:

We have two unknown numbers, so let's call them x and y for now.

We know the sum of the two numbers is 68, and the difference is 12, so let's substitute those two numbers for x and y:

x+y=68

and

x-y=12

Because both of these systems are true, we can take both these equations and combine them, by adding each side of one equation with the corresponding side of the other.

So we have:

(x+y)+(x-y)=(68)+(12)

2x=80

x=40

Now we know one of the numbers, x, is equal to 40, so now we can plug that number back into one of the two original equations, x+y=68 or x-y=12. I'll choose x-y=12.

After plugging in x, we get:

40-y=12

-y=-28

y=28

So now we have figured out x and y, which are 40 and 28.


Related Questions

The zoo charges an entry fee of $12.50 plus $5.00 per animal show ticket. Let t represent the number of animal show tickets purchased and c represent the total cost of the entry fee and animal show tickets. Write an equation to calculate the total cost for a person who pays the entry fee and purchases t tickets.

Answers

Answer:

c=5t+12.50, it cost 17.50 for one person

Step-by-step explanation:

5$ per person

and 12.50 added

c= total cost

The bar graph shows the differences in a city’s rainfall from the historical average. What is the difference in rainfall between the wettest and the driest months? Write your answer as a decimal.


The difference in rainfall between the wettest and the driest months is inches.

Answers

Answer:

The difference is 3.97 inches of rainfall

Step-by-step explanation:

Here, we want the difference between the wettest and driest months.

From the question, we can see that the wettest month has a rainfall height of 2.3 inches

The driest month has a rainfall of -1.67 inches

So the difference between the two will be;

2.3 - (-1.67)

= 2.3 + 1.67 = 3.97 inches

Answer:

4.03

Step-by-step explanation:

Have to add 2.36 and 1.67 and it would be a positive.

A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?
A. T1-9x, Y)
B. T-1-9x. y)
C. T-o, 10, y)
D. T-9,-1X, Y)​

Answers

Answer:

the answers should be T1, -9(x, y)

A. T1-9(x, Y)

Good luck!

-3 r + 3(r-2) = -2(r+6)

Answers

Answer:

r= -3

Step-by-step explanation:

-3 r + 3(r-2) = -2(r+6)

-3r+3r-6= -2r-12

-6= -2r-12

2r=6-12

2r= -6

r= -3

What is the slope of a line that cobennects the points (7,5) and (12,15)

Answers

Answer:

Slope of line = 2

Step-by-step explanation:

Line is passing through the points

[tex] (7,\:5)= (x_1, \:y_1)\\ \:\&\:\\ (12,\:15)=(x_2, \:y_2) [/tex]

[tex]slope \: of \: line = \frac{y_2 - y_1}{x_2 -x_2 } \\ \\ = \frac{15 - 5}{12 - 7} \\ \\ = \frac{10}{5} \\ \\ slope \: of \: line= 2 \\ [/tex]

Helppp!!! This has to be done by 8!!! And it’s 7:45!!

Answers

Answer:

The constant of porportionality is k = 12.5; the equation that describes the relationship is y = 12.5x.

Step-by-step explanation:

When you divide the miles by the hours, it's always 12.5, meaning that k must be 12.5.

If x is the hours and k is 12.5, the equation that describes the relationship is y = 12.5x.

Which is the type of energy available in food1? gravitational kinetic​

Answers

Answer:

chemical energy

Food energy is chemical energy that animals (including humans) obtain from food through the process of cellular respiration (also called eating).

A rectangle is drawn on a coordinate grid. The equation for one side of the rectangle is 2x – 5y = 9. Which could be the equation of another side of the rectangle?
y = 5x + 9
y = 2x – 9
y = -2/5x + 9
y = 2/5x - 9

Answers

Answer:

D

Step-by-step explanation:

it just is

What is the slope of the line through (-7, -8) and (0, 4)? a 7/12 b 12/7 c -7/12 d -12/7

Answers

Answer

B: 12/7

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I hope this helps

An isosceles triangle has a vertex angle who measures 68 degrees. What is the measure of a base angle?

Answers

each base angle would be 56 degrees

HELP ME PLEASE! Determine the slope of the line represented by the graph below.
m= 2
m= -2
m = 1/2
m= -1/2

Answers

the slope of the line is m = -1/2

Help me !!!!!!!!!!!!!!!!!

Answers

Answer:

2 3/4 and 11/4

Step-by-step explanation:

Ted's Bikes rents bikes for $15 plus $3 per
hour. Carlos paid $30 to rent a bike. For
how many hours did he rent the bike?

Answers

Answer:

Let he rent bike for x hours

then

15 + 3*x = 30

3x= 15

x= 15/3 = 5 hours

Step-by-step explanation:

BRAINIEST IF ANSWERED !!If mZBNO = 85, then what is m

Answers

M is mantions you feel me lol

You are single and claim 1 allowance. You presently earn $520.00
per week. Starting next week you will receive a 5% increase in
pay and will earn $546.00. How much more will you have
withheld from your weekly pay for federal income tax?

Answers

I’m 644.001 dollars if not I’m sorry

Answer:1.99

Step-by-step explanation:

520 × 7.65= 39.78

546 × 7.65 = 41.77

41.77 - 39.78 =1.99

Mikes home street address number has 5 digits . Two digits have values of 50,000 and 200 . The digits in the ones place is 3 . The value of each of the other digits is ten times the value of the digits on its right . What is mikes home street address number ?

Answers

Answer: Mikes home street address number = 52233

Step-by-step explanation:

We need to make a 5 digit number such that

Two digits have values of 50,000 and 200 .

The digits in the ones place is 3 .

Now number is like 50,000 +x + 200 + y + 3  (ten thousand >  thousand > Hundred > tens > ones )

Need values for :  thousands place and tens place

The value of each of the other digits is ten times the value of the digits on its right .

thousands place value (x)= 200 x 10 = 2000

tens place value (y)= 3 x 10 =30

Required number =  50,000 +2000 + 200 + 30+ 3  = 52,233

Mikes home street address number = 52233

what is the image (-2,-5) after a dilation by a scale factor of 2 centered at the origin ​

Answers

Answer:

Step-by-step explanation: (-4,-10)

Please answer! Will give brainiest! Which of the following side lengths could form a right triangle? Circle all that apply
A. 3, 7, 10 B. 4, 9, 10 C. 5, 12, 13 D. 6, 8, 10

Answers

Answer:

C. 5, 12 and 13

D. 6, 8 and 10

Step-by-step explanation:

To see if three side lengths would give you a right triangle, you have to use the Pythagoras Theorem which is a² + b² = c², where c is the hypotenuse (longest side) and a and b are adjacent to the right angle.

A. 3² + 7² ≠ 10²

9 + 49 ≠ 100

58 ≠ 100

B. 4² + 9² ≠ 10²

16 + 81 ≠ 100

97 ≠ 100

C. 5² + 12² = 13²

25 + 144 = 169

169 = 169

D. 6² + 8² = 10²

36 + 64 = 100

100 = 100

.
How is 700,000,000 expressed in standard scientific notation?
7.0 × 10^-8

7.0 × 10^+8
IS IT POSITIVE 8 OR NEGATIVE 8?

Answers

Positive.

Hope this helps.

Can all one-variable inequalities be simplified to a two-step inequality?

Answers

Next , solve as you would solve any two -step inequality. Since 2 is added to , you can get by itself on one side of the inequality by subtracting 2 from both sides. Then, to get by itself on one side of the inequality, you need to multiply both sides by 2.D

Solve 3(x-4)= -5 for x.

Answers

Answer:

x= 7/3 (fraction)

Step-by-step explanation:

If you plug it in it will work

what is the formula of perpendicular line​

Answers

Two lines are perpendicular if . Another way of saying this is the slopes of the two lines must be negative reciprocals of each other

(14 POINTS!) Based On the information in the table, is the cost of the apples proportional to the weight of apples ?

Answers

Answer:

yes it is proportional, if you subtract 3.76 from 5.64 you get 1.88 then add 1.88 to each number to make sure it's right.

Answer:

The statement of whether the cost is proportional to the cost and weight of apples is: yes, it is proportional.

Step-by-step explanation:

From what I can find out from the graph, I would firstly likely want to see if there is a constant between each pound and cost. Meaning, I would want to see if there is a rule that is used throughout the table.

From what I had found out, the rule of this table is:

(x = pounds of apples)

(y = cost of apples)

y = 1.88x

This means that in order to get the 'y' value, also known as the cost of apples, we must multiply 1.88 to the 'x' values, pounds of apples.

This can be found by:

First, dividing 3.76 to 2, your quotient is: 1.88

[tex]\frac{3.76}{2}=1.88[/tex]

Then we need to see if this applies to the other terms as well by multiplying 1.88 to each 'x'

y = 1.88x

y = 1.88(3) = 5.64

y = 1.88(4) = 7.52

y = 1.88(5) = 9.4

You get the same vaule, which means that this is proportional to the table provided.

PLS HELP

Which function represents the transformation that moves figures to the right 3 units and down 7 units?

Answers

Answer:

A

Step-by-step explanation:

Adding positively to an x moves it right, and negative moves left. Adding to a y moves it up, and subtracting moves it down.

The transformation that moves figures to the right 3 units and down 7 units is A. (x, y) ⇒ (x + 3, y - 7)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units right and b units down, the new location would be at A(x + a, y - b).

A function that moves figures to the right 3 units and down 7 units can be represented by:

(x, y) ⇒ (x + 3, y - 7)

Find out more at: https://brainly.com/question/11707700

Can anybody help me please with question 2 please and thank you .I would really appreciate it so much.

Answers

Please be more specific

Find (x+y)^2 when (x-y)=5 and xy=24
Formula:
(a+b)^2 -(a-b)^2 =4ab
(7)

Answers

Answer:

(x + y)² = 121

Step-by-step explanation:

Using the identity

(x + y)² - (x - y)² = 4xy , then

(x + y)² - 5² = 4(24) , that is

(x + y)² - 25 = 96 ( add 25 to both sides )

(x + y)² = 121

The answer is 121 there u go

Please help me I don't know how to do this look at the attachment for the question

Answers

the answer is 95.

Step-by-step explanation:

180-85=95

Answer:

m<1= 95

Step-by-step explanation:

180-85=95

A city starts with a population of 200,000 people in
2005. The population has been declining according to
the equation
P(t) = 200,000e-.08
where P is the population t years later. Approximately
when will the population be half the initial amount?

Answers

Answer:

200,000 and 2005 which cant theoretically be done be P(t) which would increase in the population which would most likely be from 2005 to 2020. so you cannot do this because imagine it as X=(Y)x the mass of population which would be defined as (P) which will also be represented as a probable and physical change in the number. but not only the number, but the population. being have of the initial amount which you will take the variable (P) and have the exact amount which would be the population. Which would theoretically recon as a positive ID of the population.-Cj

Step-by-step explanation:

Which inequality means that 4 is to the right of the other number on a number line?
09>-4
ООО
-4<-2
0-4 >-9
O 2>-4

Answers

Answer:Write a hypothesis about the pH level of common household solutions based on what you know about their physical and chemical properties. Use the format of "if . . . then . . . because . . .” and be sure to answer the lesson question "How is pH used to determine if a solution is acidic or basic?”

Step-by-step explanation:

Please help me please

Answers

Answer:c because the angle to the left and right are equal

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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