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:

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Related Questions

A grocery store sells salmon fillets in package that contains at least 3 fillets of salmon,but no more than 5.which of the following could be the total number of salmon fillets in 6 packages

Answers

Answer: 18 ≤ 6*S ≤ 30

Where S is the number of salmon fillets in one single package.

Step-by-step explanation:

Let's define S as the number of salmon fillets in one package.

We know that it contains at least 3, and no more than 5, then we can write:

3 ≤ S ≤ 5

Now we want to know the total number of salmon fillets that could be on 6 packages, then if S is the number of salmon fillets in one package, 6*S will e the number of salmon fillets in 6 packages.

We can find this by multiplying the inequality:

3 ≤ S ≤ 5

by 6.

We get:

6*3 ≤ 6*S ≤ 6*5

18 ≤ 6*S ≤ 30

Then in 6 packages, we could have any number between 18 and 30 fillets of salmon.

pl help it’s for a grade

Answers

Answer:

area of lot: (2×2+7×+6)-1624= 2×2+7×-1618

Step-by-step explanation:

lot: (2×+3)(xt2)

2×2+4×t3×t6

a: 2×2+7×+6ft 2

house: 58×28= 1,624

a: 1624 ft 2

What is 3 divided by 1/4

Answers

12 have a nice day plz mark as brainliest

Answer:

12

Step-by-step explanation:

multiply by the reciprocal of the fraction

3×4

=12

HELP I NEED HELP ASAP

Answers

I think it’s C, because for one ticket 15(1)+2 = 17
No it’s not c I took the test it’s b

in parallelogram DEFG if m< GDE=50° find m

Answers

Answer:

130°

Step-by-step explanation:

180-50=130°

You know 1000 mg = 1g. Convert 2.5 grams into milligrams. ​

Answers

2.5grams = 2,500 milligrams

Answer:

2.5 gramms = 2.500,000 Milligram (mg)

Step-by-step explanation:

multiply the mass value by 1000

can anyone solve this?

Answers

It would be 76 degrees because it’s a vertical angle

100 POINTS!!!! Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
ITS NOT n^9

Answers

Answer: Must be n13 the 13 would be like smaller but i dont know how to do that

Step-by-step explanation:

Answer:

n^13

Step-by-step explanation:

i dont know if this is right? is n6 = n to the square root of 6

Help me please!
If you get it right, I’ll will brainliest u!!

Answers

Answer: c

Step-by-step explanation:

Elle was asked to find the missing measure of an interior angle of a heptagon. A heptagon has angles x, 116 degrees, 115 degrees, 155 degrees, 138 degrees, 95 degrees, and 150 degrees. Elle’s work is shown below. Steps Elle’s Work Step 1 (n minus 2) 180 degrees = (7 minus 2) 180 degrees = 900 degrees Step 2 900 minus (116 + 115 + 155 + 138 + 150) Step 3 x = 226 degrees Where, if at all, did Elle first make a mistake finding the measure of an interior angle? step 1 step 2 step 3 Elle did not make a mistake.

Answers

Answer:

Step 2

Step-by-step explanation:

Answer:

Should be step 2!

Step-by-step explanation:

1. Explain the slope y-intercept
2. Is it a function ? Explain
3. Under what conditions could the slope be positive? Explain

Answers

Answer:  1) The y-intercept seems to mean that if the price is 0, there would be 225 "sold" (given away). As the price increases, the number sold decreases.

2.) It is a function. For each x-value, price, there is a unique y-value. This graph passes the "vertical line test."

3.) The slope could be positive if "perceived value" correlates with the price of the item. People may be willing to buy more if they believe that the higher price means higher quality, better performance, longer lasting, etc.

Step-by-step explanation:

The equation of this graph is y= -25x +225

where the x represents the price and y represents the number sold.

For every unit increase in price, 25 fewer items are sold.

Regarding question 3: The slope might not be as steep, but it could be positive when people are attracted to brand names with reputations for higher quality, or simply because they trust the brand name and are willing to pay more. Or the packaging and advertising are more attractive!

How many real solutions does the equation v3x – 1 = 21 – 5 have?​

Answers

Answer: this solution cant be solved

Step-by-step explanation:

60° 60° y=? (geometry)

Answers

Answer:

Y=90°

Step-by-step explanation:

You could tell because triangles like this always have a right angle (which is a 90° angle)

If there is a bisector in the middle of the triangle that is perpendicular to the base, then it will be a right angle

Determine weather 6y+ 13y is equivalent to 9(y+2)

Answers

Answer:

mnljkhjhkbj/n/

Step-by-step explanation:

Ok. Set both equal to each other. Solve. Then if “x=x” then they are equivalent. If not, they are not.


Five friends went to the amusement park and spent a total of $165. Each person had to buy an admission ticket, then each decided to
spend $8 on lunch. What was the cost of each admission ticket?

Answers

$31.40

Step-by-step explanation:

165-7=157÷5=31.40


Simplify the expression.
1/3(12x+18y+6

4x + 6y + 2
4y + 6x + 2
4x + 6y + 3
4x + 6y + 6

Answers

Answer:

4x+6y+2

Step-by-step explanation:

Answer:

4x+6y+3

Step-by-step explanation:

I guess hope I helped :))

Pls answer for me btw you are very smart

Answers

Answer:899,396

Step-by-step explanation:

HELP ASAP I WILL GIVW YOU BRAINLIEST!!!!!!

Answers

Answer:

Their beliefs over who should have succeeded the Prophet Muhammad is the key theological difference between the two. Sunnis also have a less elaborate religious hierarchy than Shiites have, and the two sects' interpretation of Islam's schools of law is different

Step-by-step explanation:

hope this helps     :)

Answer:

Shia people think that imam ali is the 1st khalifa or should be the first, because the profet Muhammed said that " I leave in you the two heavens, the Book of God, and my family" and after that the prophet rasied Imam Ali hand and said: " Whoever believe that i was the prophet should believe that Ali is the person in charge after I go meet Allah.

and so shia thinks that he is the person in charge after the prophet Muhammed.

Sunni people say that omar and abo baker are the people in charge. wich is so disrespecful to the prophet, because he said that Ali is incharge of the muslims by-step explanation:

the difference are shia believes that Imam Ali is the first khalifa and the sons of ali are the once incharge after him.

Here is a list of numbers 6,7,2,4,6,9,5,3,3

Answers

Answer:

mean = 5.375, median = 5.5, mode = 3, 6, range = 6

Step-by-step explanation:

this is the only thing i could think of that i could use those numbers for

(1,9)(2,2) what is this in point slope form?

Answers

y-9=-7(x-1) i’m positive
Answer:Hope this helps you out and have a nice day

Pls help me I rlly need help!!!!!!!

Answers

Answer:

The last one!!!

Step-by-step explanation:

Count the squares

The last one is the answer!

The price of a house is originally listed at $110,000. The owners are having a hard time selling it and decide to reduce the price to $101,200. What is the percentage decrease of the price of the house?

Answers

Answer:

8%

Step-by-step explanation:

110000 - 101200 = 8800 (change)

change/original price X 100

8800/110000 = 0.08

0.08 X 100 = 8

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?

Answers

Answer: $48,366.78

Step-by-step explanation:

3000(1+0.04/4) 4t

The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here P = $30,000

r = 4% = 0.04

n = 4

t = 12

The function of this situation:

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]

Plug t = 12 in the above function.

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]

A = $48,366.78

So compound interest CI = 48,366.78 - $30,000

CI = $18,366.78

Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

Learn more about the compound interest here:

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Whitney conducted a survey of grocery store customers to determine the most popular brand of bread. Of the 66 people she surveyed, 13 customers liked Moonbeam, 22 customers liked Dora Lee, 19 customers liked Wondrous Loaf, and 9 customers liked Mostess.

Identify the sample size in the situation above.
A. 129
B. 22
C. 63
D. 66

Answers

The sample size is how many people she surveyed

Therefore the answer is 66

Answer:

66

Step-by-step explanation:

it is the total people surveyed

4.
Jack sees gum on sale at the store. It says 12 packs of gum for $3.00. How much
is each pack of gum?
I

Answers

Answer:

12 packs of gum=$3.00

1packs of gum=$3.00/12=$0.25

what does t equal? t/-2 - 8 = 10

Answers

-36 due to math and I have to get more words

Answer:

-36=t

Step-by-step explanation:

if u add eight to both sides u get t/-2 = 18, then all you have to do is multiply both sides by -2, then u get t=-36

MAY YOU PLEASE HELP ME

Answers

Answer: y=20x+10

Step-by-step explanation:mark me brainlest please

Which two of the following numbers have the same value?
33 and 42
42 and 52
24 and 33
24 and 42
i'll try to mark brainliest for the first correct answer!!

Answers

Answer:

33 and 42

Step-by-step explanation:

BRAINLIEST FOR THE RIGHT ANSWER..... EMERGENCY
Marcie pays someone to clean the salon. She pays them $15.00 per hour. She offers them a 3% raise on their hourly pay. How much will she now pay them per hour?

Answers

Answer:

$15.45 i believe

Step-by-step explanation:

3% of 15 is 0.45. add 0.45 + 15 = 15.45

Answer:

$12:00

Step-by-step explanation:

A bus driver started her day with an empty bus. At her first stop she picked up
11 people. At her second stop she picked up 5 more people and let 7 people
get ofl. At her third stop she picked up 5 people and let 2 off. How many
people were on the bus as the driver left the third stop?

Answers

Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

First stop:

0 + 11 = 11

Second stop:

11 + 5 = 16.

16 - 7 = 9.

Third stop:

9 + 5 = 14.

14 - 2 = 12.

There were 12 people on the bus after the driver left the third stop.

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