The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?

Answers

Answer 1

Answer:

Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.

 

A + B = 45

 

After that, make an equation out of the second sentence. "Difference" means subtraction.

 

A - B = 3

 

There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.

 

A + B = 45

A - B = 3

-------------

2A = 48

A = 24

 

Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.

 

A + B = 45

24 + B = 45

B = 21

 

This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!

Answer 2

Step-by-step explanation:

please mark me as brainlest

The Sum Of Two Numbers Is 45. The Difference Of The 2 Numbers Is 3. What Is The Product?

Related Questions

A robot can complete tasks in
hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one​ task?
b. How many tasks can the robot complete in one​ hour?

Answers

Answer: a

Step-by-step explanation:

Answer:

A robot can complete tasks in

hour. Each task takes the same amount of time.

a. How long does it take the robot to complete one task?

It takes one hour to complete one task.

b. How many tasks can the robot complete in one hour?

It complete only one task in one hour.

What is the slope of the line that passes through the points (-4, 0) (-4, -10)

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

If the x value stay the same between a set of points, the slope of the line will be undefined.

A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?

Answers

Answer:

30

Step-by-step explanation:

took test

What is the next number in the sequence 3,5,8,12,17?

Answers

Answer:

it would be 23

Step-by-step explanation:

5-3=2

5-8=3

12-8=4

17-12=5

23-17=6

what single decimal multiplier would you use to decrease by 2% followed by a 7% decrease?

Answers

9514 1404 393

Answer:

  0.9114

Step-by-step explanation:

The multiplier for a series of changes is the product of the multipliers for each of the changes:

  (1 -2%)(1 -7%) = (0.98)(0.93) = 0.9114

Select the best answer for the question.
11. Which of the following is a mixed number?
O A.25
O B.5/2
C. 2.3
O D.2/ 1/2

Answers

Answer:

c

Step-by-step explanation:

Do the ratios
4
7
and
1
5
form a proportion?

Answers

Ratios 44:77 that’s how you do the ratio

Order of operations
6 + 24 ÷ 3-2

Answers

Answer:

12

Step-by-step explanation:

(6+24÷3)−2

  (6+8)−2

      14−2

        12

Answer:

12

Step-by-step explanation:

7/8 divided by 3/4 is what?

Answers

Answer:

1/8

Step-by-step explanation:

3/4=6/8

7-6=1

therefore 1/8

Answer:

7/6

Step-by-step explanation:

7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6

Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.

Answers

Answer:

#9

given, angle BOD = 95 degree

and angle     COD = 35 degree

assume that, angle BOC = x degree

so, angle BOC + angle COD = angle BOD

or, x + 35 degree = 95 degree

so, x = 95 degree - 35 degree = 60 degree

so, angle BOC = 60 degree

#10

given, angle AOC = right angle = 90 degree

and angle    AOB = 30 degree

assume that, angle BOC = y degree

so, angle AOB + angle BOC = angle AOC

or, 30 degree + y = 90 degree

so, y = 90 degree - 30 degree = 60 degree

so, angle BOC = 60 degree

Step-by-step explanation:

Help me please please ..........

Answers

Answer:

D

do you rlly need an explanation?

Answer:

b-16/25

Step-by-step explanation:

cause 0.64 would be 64/100 but I can be simplified down to 32/50 but that also could be simplified down to 16/25 which would be your answer because it can not be simplified any more

A store is having a sale to clear out the winter clothing items. Every Item in the store is advertised as 50% off the original price. If
an Item is marked with a sale price of $35, what was its original price?

Answers

Answer:

$70    

Step-by-step explanation:

35+35=70

Select all that are equivalent to
Assume a not equal to 0
***please answer fast***

Answers

Answer:

1 and 3

Step-by-step explanation:

This simplifies by cancelling out the lesser, so it is 1/a^7

can also be simplified to a^-7

Answer:

Options 1 & 3

Step-by-step explanation:

Hope it helps!

Help plz 20 points !!!!!!!!!!!!!!!!!!!

Answers

Answer:

(- 3, 0 ) and (5, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

x² - 2x - 15 = 0

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)

The factors are - 5 and + 3 , since

- 5 × 3 = - 15 and - 5 + 3 = - 2 , then

(x - 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 3 = 0 ⇒ x = - 3

The x- intercepts are (- 3, 0 ) and (5, 0 )

Joy is preparing 15 liters of 25% saline solution. She
only has 40% and 10% solution in her lab. How many liters of
the 10% should she mix to make the 25% solution?

Answers

Answer:

10 liters of 40% solution

10 liters of 10% solution

Please help
(and explain how you got the answer)
Solve for x.
1/4 + 1/2 + x = −3/4
Enter your answer in the box.

x =

Answers

Answer:

x=-1.5

Step-by-step explanation:

To solve for x, you need to rearrange so the x is on one side of the "=" by itself.

So To do that, first you need to subtract 1/4 on both sides of the "=". This leaves you with 1/2+x=-3/4-1/4. You can simplify the -3/4-1/4 to -1 (-4/4). So, you now have 1/2+x=-1.

The next step is to subtract 1/2 on both sides of the "=". This leaves you with x=-1-1/2. Again, you can simplify the -1-1/2 to -3/2 which can be written as -1.5. So, you now have x=-1.5, which is the final answer.

The question may ask you to write your answer in the form of a fraction, in which case your answer x=-3/2. If the questions wants it written as a mixed number, your answer would be -1 1/2.

I have attached a photograph of this method written out using the funnel technique.

detailed explanation and answer please 20 points

Answers

Step-by-step explanation:

The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76

So the answer is the bottom one. P=76 and A=330

(-4,6) slope 3/4 written in slope intercept form

Answers

Answer:

y=3/4x+9

Step-by-step explanation:

it is right   trust me.

Does anyone know this?

Answers

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

21

What is 35% of $2,195.73

Answers

768.51 dollars should be your answer it is 2195.73 * 0.35

Answer:

768.51

Step-by-step explanation:

To find 35% change the percentage to a decimal (.35)

Then multiply the original amount by .35

2195.73 *.35

768.5055

Since this is money, we round to the nearest cent

768.51

PLEASE HELP look at this screenshot is it a, b, c, or d

Answers

Answer:

D.

Step-by-step explanation:

Graph the equation.
y=-3x - 4

Answers

Step-by-step explanation:

Goes down 4 since it's a negative

How many solutions does the equation below have?
2(4x - 1) = -80 – 2

Answers

Answer:

ANSWER IS 78

Step-by-step explanation:

THE ANSWER IS 78

please help me solve this !
will mark brainliest !
(spammers reported)

Answers

Answer:

it is five

Step-by-step explanation:

5v-2=8 then v=x2 because 5x2=10-2=8

so 7v-9=5

The correct answer is 5

Write the slope-intercept equation of the line passing through (4,6) and (0,-8).

Answer:​

Answers

Answer:

[tex]y=\frac{7}{2} x -8[/tex]

Step-by-step explanation:

We are given that a line contains these 2 points: (4,6) and (0,-8), in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

First, we need to find the slope of the line

The slope can be calculated using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we have 2 points, let's label their values to avoid any confusion and mistakes when calculating:

[tex]x_1=4\\y_1=6\\x_2=0\\y_2=-8[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-8-6}{0-4}[/tex]

Subtract

m=[tex]\frac{-14}{-4}[/tex]

Divide

m=[tex]\frac{7}{2}[/tex]

The slope is 7/2

Here is the equation of the line so far:

[tex]y=\frac{7}{2}x + b[/tex]

We now need to find b

As the equation passes through (4,6) and (0,-8), we can use either one of them to help solve for b.

Taking (4,6) for instance:

[tex]6=\frac{7}{2}(4) + b[/tex]

Multiply

[tex]6=14 + b[/tex]

Subtract

-8 = b

The equation therefore is:

[tex]y=\frac{7}{2} x -8[/tex]

Topic: slope-intercept form

See more: https://brainly.com/question/27726094

help plssss !!! I need help with this I've been struggling

Answers

Answer:

362.984 could be the answer but don't judge me I could be wrong.

Step-by-step explanation:

I'm not 100% sure.

From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.

What I did:

I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5

I then took that number and multiplied it by 0.1 and got: 2057.95

This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.

Brainliest to the most elaborated answer

Answers

Answer:

The answer is that you have to find tan x which is by slanted by o,n,2

Step-by-step explanation:

Nicole has a pack of playing cards & she chooses a card at random. what is the probability that she picks an ace?
Give your answer as a fraction in its lowest form

Answers

Answer:

1/13 (1 in 13)

Step-by-step explanation:

so, there's 4 aces in a standard deck of 52 cards.

so far, we can see this as 4/52 (4 in 52)

these are both divisible by 2, lets go ahead and simplify that to 2/26

still divisible by 2. this then becomes 1 /13

so, she has a 1/13 (1 in 13) chance to get an ace.


A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet

Answers

Answer

Wow she can air walk

Step-by-step explanation:

Choose the sentence that is equivalent to the following statement:
Among any two consecutive positive integers, there is at least one integer that is not prime.
a. If x and y are positive integers, then x is not prime and y is not prime.
b. If x and y are positive integers, then x is not prime or y is not prime.
c. If x is a positive integer, then x is not prime and x 1 is not prime.
d. If x is a positive integer, then x is not prime or x 1 is not prime.

Answers

Answer:

bbbbbbbb

Step-by-step explanation:

bbbbbbbbb;bbbbbbbvvvbbbbb;vvvvvvvvvvvvvv

Other Questions
Easy pointsBefore you answer this question try and rotate your foot clockwise and write the number six. Hard right.Math question now.When I am 6 my brother is half my age. How old will my brother be when I am 70? Pls help. Abcdefghijklmnopqrstuvwxyz????? What is the difference in length between the shortest worm (3/4) and the longest worm (1 1/2) please help asap.... Harrisburg is the capital of _____.DelawarePennsylvaniaNew York David is making his own strawberry yogurt. In David's mixture, the number of strawberries is proportional to the amount of milk, in cups. David uses 4 cups of milk for every 14 strawberries in his mixture. Which equation represents the relationship between s, the number of strawberries, and m, the number of cups of milk he uses? a record-breaking number of americans left their jobs in august, according to the u.s. bureau of labor statistics. how many quit their job? The base of a 14-foot ladder is 5 feet from a building, If the ladder reaches the flat roof, how tall is the building? 1. How do COMPROMISES work? Which passage best reveals the character of Matre Hauchecome, the main character in "A Piece of String"? A. He inquired: "Is Matre Hauchecome of Breaute here?" B. The men were proceeding with slow steps, the whole body bent forward at each movement... C. He began to tell the story of the string. No one believed him. They laughed at him. PLEASE HELP!! Item 4Read the excerpt from Common Sense.O ye that love mankind! Ye that dare oppose, not only the tyranny, but the tyrant, stand forth! Every spot of the old world is overrun with oppression. Freedom hath been hunted round the globe. Asia, and Africa, have long expelled her. Europe regards her like a stranger, and England hath given her warning to depart. O! receive the fugitive, and prepare in time an asylum for mankind.What does this paragraph suggest about Paine?He feels America will inspire people of other nations to rebel against their governments. He is disappointed in the loss of connection between America and the rest of the world.He is hopeful that Great Britain will respond to criticism for their infringement on human rights.He believes America is the only place in the world where equality and liberty are still attainable. What is the importance of the way the author unfolds a series of events in the narrative "The Final Assault" by Sir Edmund Hillary? Be sure to provide examplesfrom the text to support your analysis. Use evidence from the text to support your response. Your response should be one to two complete paragraphs. NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros. Use the rational zeros theorem (p/q) and please show work!! tysm!!! the function:f(x) = 3x^3 + 11x^2 + 5x - 3 What period in history reenergized Europeansand prepared them for exploration? According to the article, what was the cause of the major race riots in the North during the early 20th century? 8.9776 to nearest hundredth A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C? Complete the sentence with the correct form of Etre:Les livresintressants.O esO estO sontO suis Please I need as soon as possible Ill give brainliest 25 POINTS HELP ME ASAP Solve for p.3(p + q) = p A. q = "two-thirds B. q = "start fraction three over two end fraction C. p = "two-thirds D. p = "start fraction three over two end fractionSolve for b, then find the value of b when a = 3.4a = 2b 7 A. "nine-halves B. five-halves C. nineteen-halves D. 17d = rt A. r = dt B. r equals t over d C. r equals d over t D. r equals d minus tFind the width of a rectangle with a perimeter of 90 and a length of 15. A. 90 B. 15 C. 45 D. 30 1. List 2 interactions between the earth spheres and the water cycle.2. List 2 interactions between the earth spheres and the carbon cycle.3. List 2 interactions between the earth spheres and the nitrogen cycle.