The product of
two integers is – 24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?

Answers

Answer 1

Answer:

a= 12

b=-2

Step-by-step explanation:

12 x -2 = -24

12 - (-2) = 14

12 + (-2) = 10

Answer 2

The two integers are 12 and -2.

What are simultaneous equation?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let x and y be the two integers.

So it is given that,

Product of two integers =  – 24

⇒ xy = - 24   ....(i)

The difference between the two integers =  14

⇒ x - y = 14  ...(ii)

The sum of the two integers = 10

⇒ x + y = 10     ....(iii)

Now adding equation (ii) and (iii) we get,

2x = 24

⇒ x = 12

Putting the value of x in equation (i) we get,

12y = - 24

⇒ y = - 2

So the required integers are 12 and - 2.

To learn more about simultaneous equation:

https://brainly.com/question/17726417

#SPJ2


Related Questions

find the domain and range of the function represented by the graph.

Answers

Answer:

C

Step-by-step explanation:

The domain of this function is [tex][-4,2][/tex], as it is shown in the graph that [tex]x[/tex] is only within this interval. The range of this function is [tex][-4,4][/tex], as the smallest value of [tex]y[/tex] is -4 and the largest value of [tex]y[/tex] is 4, and [tex]y[/tex] takes every possible values between them.

how do you simplify 3 1/4 x 3/5 someone please help me

Answers

Answer:

We want to simplify:

(3 + 1/4)*(3/5)

The first step is to write the first term as a single rational number.

We know that:

3*1 = 3

and 4/4 = 1

then:

3*1 = 3*(4/4) = (3*4)/4 = 12/4

We do this because we want to have the same denominator in both numbers, so we can directly add them.

Then we get:

(3 + 1/4)*(3/5) = (12/4 + 1/4)*(3/5) = (13/4)*(3/5)

And remember that in the multiplication of rational numbers the numerator are multiplied together and the same for the denominators, then we get:

(13/4)*(3/5) =  (13*3)/(4*5)

If we solve the multiplications we get:

(13*3)/(4*5) = (39/20)

Now, we can notice that in the numerator we have two prime numbers, 13 and 3.

And in the denominators, we have a 4 (which is equal to 2*2) and a 5.

So the prime numbers in the numerator and the denominator are all different, this means that we can not simplify it furthermore.

Then we have:

(3 + 1/4)*(3/5) = (39/20)

Which fraction is close to, but less than 1/2?

Answers

Answer:

1/9, 2/9, 3/9, 4/9, 1/8, 2/8, 3/8, 1/7, 2/7, 3/7, 1/6, 2/6, 1/5, 2/5, 1/4, 1/3.

Step-by-step explanation:

hope this helps,

the product of 2x^3 and 6x^5 is ?
Option Of Answers are
1. 10x^8
2. 12x^8
3.10x^15
4. 12x^15

Answers

Answer:

[tex]12x^{8}[/tex]

Step-by-step explanation:

Calculate the coefficient by multiplying the numbers:

2 x 6 = 12

Calculate the exponents by adding the numbers:

5 + 3 = 8

Therefore, the coefficient is 12 and the exponent is 8. You get,

[tex]2x^{3} .6x^{5}=12x^{8}[/tex]

3x + 160y<=1120 written in slope intercept form

Answers

3x/160 try that let me know if it wrong

I need the answer key for mid chapter check point grade 5 chap 7!! ASAP

Answers

Answer:

3/8

Step-by-step explanation:

1/2 x 3/4 = 3/8

You multiply the top by the number beside it and do the same for the bottom.

40 divided by 28 but I need the answer in decimal form

Answers

Answer:

1.42857142857

Step-by-step explanation:

Answer: 1.428571 what is underlined is what repeats

Step-by-step explanation:


pleasee help this is due today I'll give brainliest






If a rectangle's area is 3 15/16 width square feet and its length is 1 1/8 feet. What is the width​

Answers

Answer:

3.5 or 3 and 1/2

Step-by-step explanation:

3 and 15/16 / 1 and 1/8


Solve for b.
54 = 36 – 9b

Answers

Answer:

b = -2

Step-by-step explanation:

context aaaaaaaaaaaa

Answer:

b = 10

Sorry if this is wrong.

Which is the measure of a rectangle that is similar to the rectangle above?

a 3.5 cm x 25 cm
b 10 cm x 33 cm
c 7.5 cm x 45 cm
d 2.5 cm x 20 cm

Answers

Answer:

C is the answer

Step-by-step explanation:

Game Stop has 48 video games to sell. If it sells 1/8 of its games each day. how many days will it take to sell all of the games? ​

Answers

Answer:

8 days to sell all the games

Step-by-step explanation:

;)

Answer:

Infinite

Step-by-step explanation:

Well look at it this way.

It will just a smaller piece of something but never everything. For example 1/8 of 1/100000 is still going to be a number. So, it will never sell all video games. This is a mathematical perspective, not a logical perspective since logically you cant sell a part of a video game.

Someone please help me with this I REALLY NEED HELP ILL GIVE U BRAINLY IF U GET IT RIGHT

Answers

A is the correct answer.

Answer:

A

Step-by-step explanation:

Sheri sells 10 tickets every two hours

We plug two hours into Tim's equation --> t=5(2)

t=10

So, in two hours, Tim sells 10 tickets

(7, -1) and (21, -5) as a equation

Answers

Answer:

this isn't the answer to this but this is the answer to your other question, its -7.4, -4, 0.2, 1/2, 7.4

Step-by-step explanation:

What is an
equation of the line that passes through the points (-3,7) and (3, 3)?

Answers

Y= -4/6x+5, the y-intercept is 5 and the slope is -4/6 hope this helped :)

Find the measure of angle 1



hurry

Answers

Answer:

112 degrees

Step-by-step explanation:

This is a quadrilateral, meaning 4 sides. The sum of the angles of a quadrilateral is 360 degrees. You are given the right angle, or 90 degrees, and the 46 degree angle at the bottom. Since the two lines on either side of the 46 degree angle represent parallelism, angles 1 and 2 are the same.

360 - (90+46) = 224.

224 / 2 = 112.

Answer:

[tex]m∠1 = 112[/tex]

Step-by-step explanation:

[tex]m∠1 = m∠2[/tex]

[tex]m∠1 + m∠2 + 90 + 46 = 360[/tex]

[tex]m∠1 +m ∠2 + 136 = 360[/tex]

[tex]m∠1 + m∠2 = 360 - 136[/tex]

[tex]m∠1 + m∠2 = 224[/tex]

[tex]m∠1 = \frac{224}{2} [/tex]

[tex]m∠1 = 112[/tex]

[tex]m∠2 = \frac{224}{2} [/tex]

[tex]m∠2 =112[/tex]

What is the value of the y in this equation? 3y=24

Answers

Answer:

y=8

Step-by-step explanation:

3y=24

just divide each side by 3

y=8

So you want to get the variable alone. In this case divide each side by three. 24/3 = 8 your answer is 8!

Answer: The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get Therefore, the value of is 36, when b=5.

Answers

7=36a%4ahhggyuuuhgfdfyyytg

What is the sum of 15 and its additive inverse?
O A. -30
B. -15
oc. O
OD. 1
O E. 30

Answers

Answer:

The answer is C, zero

Step-by-step explanation:

Additive inverses are numbers that equal zero when added together.

A roller coaster accelerated from rest to 55 m/s by the time it reached the first hill. The roller coaster took 15 seconds to climb to the top of the hill. What was the acceleration of the coaster?

Answers

Answer:

I believe the acceleration is 3.66666666667 m/s

Step-by-step explanation:

Acceleration formula: a = vf - vi / t

Initial velocity: 0 (I believe it was 0, as it wasn't moving in the beginning)

Final velocity: 55 m/s

Time: 15 s

Substituting values: 3.66666666667 = 55 - 0 / 15

solve the system of equations by graphing
y=-2x+2
y=-x

Answers

That is the best graph I can get for the equations .

What is the anwser to: h + 5.7 = −5.7

Answers

answer:
-11.4

explanation:
h + 5.7 = -5.7
subtract 5.7 from both sides

h = -11.4

Answer:

h=-11.4

Step-by-step explanation:

because, 5.7+-5.7=-11.4

cashews cost $5.00 a pound and pecans cost $7.00 per pound. Julie bought a 3 pound mixture of cashews and pecans for $19. How many pounds of each were in the mixture ?

Answers

I think the person above me is correct

Gym A: $10 joining fee and $20 monthly fee.
Gym B: $25 joining fee and $5 monthly fee.
Enter the number of months it will take for the total cost for both gyms to be equal.

Answers

Answer:

1 month

Step-by-step explanation:

gym As total for the first month is $30. (joining fee plus monthly fee)

gym bs total for the first month is also $30. (joining fee plus monthly fee)

Suppose the band is raising money to help offset the cost of a trip. You
make $10 off of each box of oranges sold and $15 off of each box of
grapefruit sold. The band wants to raise at least $500.00. Write an
inequality to represent this situation.

Answers

Answer:

y-step explanation:

Answer:

10o + 15g ≥ 500

Step-by-step explanation:

Variables:

O = oranges

G = grapefruit

10 boxes of oranges (10o) and 15 boxes of grapefruit (15g) are being added together (10o + 15g). The band wants to raise AT LEAST (greater than or equal to ≥) $500.00.

Put that together, and it's:

10o + 15g ≥ 500

Two buses are traveling the same route toward a hotel. Bus 1 travels at a rate of 55 miles per hour This is bus two:
which bus is traveling at a higher rate of speed? explain how you know​

Answers

Answer:

Bus 1 is traveling faster.

Step-by-step explanation:

The information provided states that Bus 1 travels at 55 miles per hour. The graph shows that Bus 2 travels less than 50 miles per hour. This shows that Bus 1 travels more miles per hour.

Hope it helps!

calculate the value of b + 12.5=12

Answers

Answer:

[tex]\large\boxed{b = -0.5}[/tex]

Step-by-step explanation:

Hope this helps, have a great day

Answer:

Move all terms not containing  b  to the right side of the equation.

b = − 0.5

Step-by-step explanation:

Christopher had $125 in his savings account to buy a used car. He deposits $50 every week.
a. Write an equation for the amount in his savings, where A is the amount in his savings and w is the
week's deposits.
b. What is the slope of the line?
C.
What does the slope represent in in this problem?
d. How much money will Christopher have in his savings account after depositing for 13 weeks?

Answers

Answer:

d

because she deposits his money

Answer if you want a virtual kiss

If the triangle are similar, write a similarity
statement and tell whether you would use
AA similarity, SAS similarity, or SSS
similarity. If not similar, explain why.

Answers

Explanation:

Yes Triangle CMP ~ CQT due to SAS criterion.

CM : CQ is 20 : 12 making it 5 : 3

CP : CT is 35 : 21 making it 5 : 3

The two sides have the same ratio.

Then we have ∠C which is the same in both triangles.

12+2(4+2)*3rd power?

Answers

Answer: 444

Step-by-step explanation:

your welcome have a good day! ^-^

Answer:

444

Step-by-step explanation:

12+2(4+2)^3

12+2(6)^3

12+2(216)

12+432

444

Find the geometric mean of 8 and 13.

Answers

Find the factors from the roots, then multiply the factors together.
y
=
x
2

21
x
+
104
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