An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers

Answers

Answer 1

Answer:

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]

This can be solved using quadratic formula:

[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Putting values and finding factors

[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]

Since y is integer so, we consider only y= -9

The value of x will be:

[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]

So, the value of x is x=3

The required integers are x=3 and y= -9


Related Questions

Find the quotient of 60:5

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

3/4 (x-12) = 12
solve for x

Answers

Answer:

28

Step-by-step explanation:

I got this question on  a test and got it right

HAVE A GREAT DAY!

What is the domain of the relation?
✔ -4<=x<=6

What is the range of the relation?
✔ -4<=y<=4

Is the relation a function?
✔ yes


here are all the answers

Answers

Answer:

thx for ur help

The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Using the dimensions indicated on the drawing, what is the total area of the new room?

Answers

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

The total area of the new room is 459.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

3  3/16 divided by 1/8 = 51/2 or 25.5

2  1/4 divided by 1/8 = 18

Thus we have the area

= 18 x 25.5

Area = 459

The total area of the new room is 459.

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How is the interest rate on a payday loan calculated?
a.
loan amount divided by total fees
b.
total fees divided by loan amount
c.
total fees divided by days of loan
d.
APR divided by 365

Answers

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

Answer:

b. total fees divided by loan amount

Step-by-step explanation:

The interest rate on a payday loan is usually calculated by dividing the total fees accrued in the loan repayment calculation by the exact loan amount.

Doing this will result in determining the interest rate used in a loan and it’s usually important to ensure accountability and also making sure the exact rate contained in the Loan application agreement Is the same as what is used later on.

The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?

Answers

Perimeter = 2x length + 2x width.

2(2x+3) + 2(x-5) = 44

Simplify:

4x + 6 +2x -10 = 44

Combine like terms:

6x -4 = 44

Add 4 to both sides:

6x = 48

Divide both sides by 6:

X = 8

Now replace x with 8 in the equation for length:

2x + 3 = 2(8) +3 = 16 + 3 = 19 cm

Length = 19 cm

It is known that 10% of the UNIVERSITY students own their own car. If a random sample of 10 students is taken, what is the probability that at most 2 have their own vehicle?

Answers

Probability of students having their own vehicle

= 2/10

= 1/5

Which property justifies drew first step ?



A.commutative property of multiplication

B.associative property of addition

C. subtraction property of equality

D. distributive property of multiplication over addition

Answers

D) Distributive property of multiplication over addition

Rip king Von pop smoke quando rondo timmie and yea


Points and brainlest help me out on my question !!

Answers

Answer:

RIP to all those kings!!

Step-by-step explanation:

What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)

Answers

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

What are trigonometric functions?

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

To know more about Trigonometric Function on:

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Which values, in order, will complete the table

Answers

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

Use the distributive property to remove the parentheses.
9(6-v)

Answers

Answer:

[tex]54-9v[/tex]

Step-by-step explanation:

To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.

[tex]9(6-v) = 9(6) +9(-v)[/tex]

[tex]=54-9v[/tex]

Hope this helps :)

Teresa plans to attend college in 3 years. She will need $13,600 for the first-year cost. Her uncle gave her a special gift of $10,000 to use toward the cost. How much must Teresa save each month to have enough for the first-year cost?

Answers

Answer:

100$ per month

Step-by-step explanation:

I dont know man help please

Answers

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

From the given figure

∵ ∠2 and 49° are vertically opposite angles

∵ The vertical opposite angles are equal in measures

m∠2 = 49°

∵ The sum of the interior angles of a Δ is 180°

∵ m∠1, m∠2, and 68° are interior angles of a Δ

∴ m∠1 + m∠2 + 68° = 180°

∵ m∠2 = 49°

∴ m∠1 + 49° + 68° = 180°

→ Add the like terms in the left side

m∠1 + 117 = 180

→ Subtract 180 from both sides

m∠1 = 63°

∵ ∠3 and 93° formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

m∠3 + 93° = 180°

→ Subtract 93 from both sides

m∠3 = 87°

∵ 93° is an exterior angle of the triangle

∵ The measure of the exterior angle of a Δ at one vertex equals the sum

   of the measures of the opposite interior angles to this vertex

∵ ∠4 and 49° are the opposite interior angles to 93°

49° + m∠4 = 93°

→ Subtract 49 from both sides

m∠4 = 44°

The graph below shows the cost that Hondo pays for apples. What does the point (0,0) on this graph mean?

Answers

Answer:

(0,0) means that he didn't buy any apples so it doesn't cost anything

Step-by-step explanation:

hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.

Answers

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

What’s a rationale number ?

Answers

Answer:

A Rational Number can be made by dividing two integers.

(An integer is a number with no fractional part.)

Step-by-step explanation:

Answer:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Step-by-step explanation:

Hope this helps. :D

read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!

which equation represents the problem?

3x -3 =45

3x = 45 + 3

3 + 3x = 45

3 = 45 + 3x



Now Recipes?

x= 13

x= 15

x= 16

x= 14

Answers

Answer:

3 + 3x = 45 ; x = 14

Step-by-step explanation:

45 = 3x + 3 ⇒ x = 14

Use benchmark values to estimate 7/10 + 7/8.​

Answers

Answer:

1.575

Step-by-step explanation:

what is the estimate product of 33 and 76

Answers

33 multiplied by 76 is 2,508.

Estimation is ~2,500.

If you went to school at 7:55 a.m. what time will it be in 4 hours?

Answers

11:55AM

8:55
9:55
10:55
11:55

Answer:  11:55 I hope this helps Have a nice day

Step-by-step explanation:

If you bake 3/4 of a cake in 5/6 of an hour, how long does it take to bake 18 cakes

Answers

Answer: 15

Step-by-step explanation: 5/6 times 18 = 15 hours

I think that it would be 20 hours

Three letters are randomly chosen from PROBABILITY. What is the probability that at least one of the letters is B?

Answers

Answer:

2/11

Step-by-step explanation:

thats the probability

Answer:

2/11

Step-by-step explanation:

Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

Assume there are 11 voting districts in the county.  Polly Tician is running for office. She figures she must win at least 7 of the districts to win the election.  If she has an equal chance of 60% to win any one district, what are her chances of winning the election?

Answers

Answer:

53.3%

Step-by-step explanation:

Here we will use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 11, r ≥ 7, p = 0.6, and q = 0.4.

P = ₁₁C₇ (0.6)⁷ (0.4)⁴ + ₁₁C₈ (0.6)⁸ (0.4)³ + ₁₁C₉ (0.6)⁹ (0.4)² + ₁₁C₁₀ (0.6)¹⁰ (0.4)¹ + ₁₁C₁₁ (0.6)¹¹ (0.4)⁰

P = 0.236 + 0.177 + 0.089 + 0.027 + 0.004

P = 0.533

What division problem can be represented using the number line?

A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction

Answers

Answer:

It's the first answer.

Step-by-step explanation:

Answer:

The Answer is A

Step-by-step explanation:

Find the area of the shape shown below

Answers

Answer:

18 MARK AS BRAINLIEST OR ELSE!!!!

Step-by-step explanation:

area = 1/2h(sum of bases)

area = 1/2x3(3+9)

area = 1/2 of 36

area = 18

Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg​

Answers

Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

round 803 to the nearest ten. Enter your answer in the box below.​

Answers

Answer:

800

Step-by-step explanation:

Answer:

Hey buddy, here is your answer. Hope it helps you

Step-by-step explanation:

It will round off to 800 as it is below 5. Above 5 it will round off to 810.

Note: Enter your answer and show all the steps that you please.
Are the ratios 25/45 and 15/27 proportional?

Answers

Yes they are proportional to each other 25/45 =0.5 repeating itself and 15/27 is 0.55 also repeating itself

I hope this help you :) mark me brainiest if u need anything more help like this tell em
yes they are proportional and that’s why ⬇️
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