Find two positive consecutive integers such that the square of the first added to three times the second is 24

Answers

Answer 1

Answer:

3 and 5

Step-by-step explanation:

Let the two consecutive odd integers be x and x + 2.

Now,

The given statement is

[tex]x^2 + 3 \times (x+2)=24\\x^2 + 3x+6-24 = 0 \\x^2 + 3x-18 = 0\\x^2+6x-3x-18=0\\x(x+6)-3(x+6)=0\\(x-3)(x+6)=0\\x=3,-6[/tex]

Taking x=3.

Hence, two consecutive odd integers are 3 and 5.


Related Questions

PLEASE HELP!!!!!!!!!!!!!!!!!!!! NEED THIS NOWWWW!!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!1

Answers

Answer:

22

50

Step-by-step explanation:

Work out
55
% of
2900

Answers

change 55% to 0.55
0.55 x 2900 = 1595
55% of 2,900 will be 1595

Compare. Fill in the blank using <,>,or =

16. -2/3_____-1

17. -1 3/4_____1 5/6

18. -2/7______0​

Answers

16. <
17.>
17. =
I hope this right

{4x − 3y = −32x + 6y = −4 Solve the system of equations.
Input your answer as a point.

Otherwise, enter "No solution" or "Infinite number of solutions.

Answers

Answer:

Sorry I don't know that one

4). A coin is tossed and a number cube is rolled. Find the probability, p(heads and 7)

Answers

There is no chance that the cube will roll a 7

I need helppp I’m stuck

Answers

K (-3,-3)
L (1,-1)
M (-1,-5)
N (-5,-7)

Help me out , I’ll appreciate it !

Answers

Answer:

(a) Infinite

(b) 6 (because a to z contains 26 letters so we can only take 26 letters or less otherwise the letter can be repeated so we have to take the num which is coming in table of 4 so 24then we can make 6passwords)

THANK you

If you helped with my answer pls tag me brianliest....

what's
[tex]12 + 24 \div 6[/tex]

Answers

12+24=36
36 divide by 6 is 6
12+24 divided by 6 is 6

I really need help please!

Answers

As we know that angle of semi circle is 180°.

Here,

FLG = 40°

GLH = ?

HLJ = 60°

FLG + GLH + HLG = 180°

40° + GLH + 60° = 180°

GLH + 100° = 180°

GLH = 180° - 100°

GLH = 80°

Now,

FLH = 40° + 80° = 120°

[tex] \sf \: Length \: of \: an \: arc \: of \: GHF = \dfrac{ \theta}{360} \times 2 \pi \: r[/tex]

[tex] = \dfrac {120}{360} \times 2 \times \dfrac{22}{7} \times r[/tex]

[tex] = \frac{1}{3} \times \frac{44}{7} \times r[/tex]

[tex] = \frac{44}{21} \times r[/tex]

[tex] = 2.09r[/tex]

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970 y en 2001 se incrementó 2,25 veces en relación a 1988. ¿Cuántos habitantes había en el año 2001?

Answers

Answer:

En 2001 el pueblo poseía 45.826 habitantes.

Step-by-step explanation:

Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:

13.578*1,5= 20.367

Por lo que en 1988 el pueblo poseía 20.367 habitantes.

En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:

20.367* 2,25= 45.825,75≅ 45.826

Por lo que en 2001 el pueblo poseía 45.826 habitantes.

2.
Brian was reading a novel. He said, “If I take the sum of the number of the page I'm on
with the number of the page on its right, I get 425." Which page is Brian on?

Answers

x+(x+1)=425
2x+1=425
2x=424
x=212

Therefore, Brian is on page 212.

How do I Solve for x.
4x^2-64=0

Answers

Answer:

Step-by-step explanation:

.

4

2

Answer:

x = 4, -4

Step-by-step explanation:

You can do this by simply pressing the calculator OR by simplify

4x^2 - 64 = 0

(2x)^2 - 8^2 = 0

(2x - 8)(2x + 8) = 0

∴ 2x - 8 = 0 or 2x + 8 = 0

x = 4 or x = -4

12 = x +24/8
I really need help with this

Answers

Answer:

x = 9

Step-by-step explanation:

24 divided by 8 is equal to 3.

12 = x + 3 (subtract three from both sides)

9 = x

9 is the correct answer

*ANSWER ASAP* Earth has a diameter of approximately 7926 miles. Determine the volume of Earth.

Answers

Answer:

Rounding to the nearest whole number, 49 moons can fit in the earth.

Rounding to the tenth place, 50 moons can fit in the earth.

Step-by-step explanation:

To find how approximately how many moons could fit inside the earth, you would need yo find the volumes the earth and the moon.

V = 4/3 π r^3

Earth:

d = 2r

d = 7926 miles

7926 = 2r

3963 miles = r

V = 4/3 π (3963)^3

V = 4/3 π (62240377347)

V = 82987169796π cubic miles

Moon:

d = 2r

d = 2159 miles

2159 = 2r

1079.5 miles = r

V = 4/3 π (1079.5)^3

V = 4/3 π (1257963209.88)

V = 1677284279.83π cubic miles

Now you divide the volume of earth by the volume of moon to find how many moons can fit in earth

82987169796π ÷ 1677284279.83π =

approx 49

Help please

Find the value of x when y=0. x + 4 = y

Answers

Answer: x = -4

Step-by-step explanation:

-4 + 4 = 0

if  y = 0 then X will be -4

Answer:

hello

Step-by-step explanation:

answer is x=-4

because if we add

4-4=0

x+4=0

-4+4=0

Please help


If 100% = Rs. 120, then


A. 120% = Rs. 84
B. 20% = Rs. 84
C. 70% = Rs. 84
D. 30% = Rs. 84​

Answers

Answer:

Simple: C. 70% = Rs. 84

Step-by-step explanation:

cause it can't be 120% if Rs.120 is the 100%

Celia uses 7.9 pints of blue paint and white paint to paint her bedroom walls. 2 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Given:

Total paint used = 7.9 pints

Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.

The remaining paint is white.

To find:

The amount of white paint.

Solution:

Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.

[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]

[tex]\text{Blue paint}=3.16[/tex]

Now,

[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]

[tex]\text{White paint}=7.9-3.16[/tex]

[tex]\text{White paint}=4.74[/tex]

Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.

helppp
What is the equation of the line that passes through the point (-4,4) and has a
slope of 3/4 ?

Answers

Answer:

y = 3/4x + 7

Step-by-step explanation:

Put it in point-slope form:

y - 4 = 3/4(x - -4)

y - 4 = 3/4(x + 4)

y - 4 =3/4x + 3

y = 3/4x + 7

What is the following sum of 3/10 + 39/100

Answers

Answer:

.69 is the answer to the question

if your smart what is 1 + 1= ?​

Answers

One plus one equals two

1 + 1 = 2

Answer:

1+1=2

easy

plz mark as brainliest

Please help me give Brain

Answers

Answer:168

Step-by-step explanation:

Q7: Subtract

(a) -6x – 3 from 2x – 5,

(b) 6x – y + 5z from 10x – 2y + z,

(c) 8p + 99 – 5rs from 4p – 49 + 15sr,

(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.​

Answers

Here is your answer

Anyone know the answer to this

Answers

Answer:

The answer is B

Step-by-step explanation:

3/4

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can u help me with this ​

Answers

Answer:

245 degrees

Step-by-step explanation:

The circle is 360 degrees and you have only found 55 and 60  you add those together and you will get 115 to find jk you first add the numbers you have then minus them with 360 because its a circle. 360-115 will be 245 that would be your answer.

Answer:

120 degree

Step-by-step explanation:

jn-60 vwrtical oopsite angle

nk 180

jk 180-60

The points (4, -6) and (r, 6) lie on a line with slope 3. Find the missing coordinate r.

Answers

Answer:

r = 8

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (r, 6)

m = [tex]\frac{6+6}{r-4}[/tex] = [tex]\frac{12}{r-4}[/tex] , then

[tex]\frac{12}{r-4}[/tex] = 3 ( multiply both sides by (r - 4))

12 = 3(r - 4) ← divide both sides by 3

4 = r - 4 ( add 4 to both sides )

8 = r

what is 2,829 divided by 33
i realy need help with this

Answers

Answer:

85.72 is ur answer...

Hope it helps!!!

What is the volume of the shaded solid? Round to the nearest tenth of a cubic unit. 11.6 units3 45.4 units3 57.0 units3 68.6 units3

Answers

Answer:

45.44units^3

Step-by-step explanation:

Volume of the shaded part = Volume of the triangular based prism - Volume of square based prism

Volume of prism = Base area * Height

Volume of the triangular based prism = (5 * 4 * 5.7)/2

Volume of the triangular based prism = 57units^3

Volume of square based prism = 1.7* 1.7 * 4

Volume of square based prism = 11.56units^3

Taking the difference

Volume of the shaded solid = 57 - 11.56

Volume of the shaded solid  = 45.44units^3

Answer:

B

Step-by-step explanation:

30 = 6y

A)y= 5

B)y = 6

C)y = 180

D)y = 10

Answers

Answer:

A) y = 5

Step-by-step explanation:

30 / 6 = 5

y = 5

Hope this helps! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

It’s A because 6*5=30 and divided 30 by 6 it equals 5

1. Add: 85 + (-96) *


Help

Answers

Answer:

Your answer is -11

Step-by-step explanation:

85-96=-11

Translate til
Eight times the sum of a number and 3 is equal to 5.
Use the variable w for the unknown number.

Answers

Answer:

8(w+3) = 5

Step-by-step explanation:

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