the product of two consecutive integers is 120. write an equation to find the integers.​

Answers

Answer 1

Answer:

The consecutive even integers are

n

n + 2

n(n + 2) = 120

n2 + 2n - 120 = 0

(n + 12)(n - 10) = 0

n = -12 or 10

Step-by-step explanation:

There are 2 solutions:

n = -12

n + 2 = -10

and

n = 10

n + 2 = 12


Related Questions

The table shows the results of an experiment in which Max drew tiles from a bag. If Max conducts this experiment again and performs 200 trials, which is the best prediction of how many times he will draw a blue tile?


Frequency
Red 9
Blue 46
Green 25
TOTAL TRIALS 80

Answers

Explanation is in the file

tinyurl.com/wpazsebu

EQ: How do you use elimination to solve a system of
equations?

Answers

Answer:

Step-by-step explanation:

when you use elimination you want to set two of the terms, in the different equations,  equal to each other and then subtract the entire equation from the other,  so that the two terms cancel out.    Then you have an equation with one less variable in it.  :)  

Please help me with those questions please

Answers

Answer:

7.5

35.2

1.5

20

Step-by-step explanation:

1. vertical angles are equal

(2x+17)=(4x+2)

15= 2x

x= 7.5

2. adjacent angles equal 180

(2m+8)+(3m-4)= 180

5m+4= 180

5m= 176

m= 35.2

3. (30s+5)=(20s+20)

10s= 15

s=1.5

4. 4p+5p=180

9p=180

p=20

sorry that took so long.  I was babysitting lol

if 45% of an item is $135.00, what is the original price

Answers

300. I believe would be the answer to that.

Which of the following is the reciprocal of 1/5 ?
answers
5
1/5 5/5 1

Answers

Answer:

5

Step-by-step explanation:

A reciprocal is the inverse of a fraction.

To find it just flip the numerator and denominator.

1/5 becomes 5/1, or 5.

The calculated reciprocal of the number 1/5 is 5

How to determine the reciprocal of the number

From the question, we have the following parameters that can be used in our computation:

Number = 1/5

By definition, the reciprocal of a number x is represebted as

reciprocal = 1/x

In this case,

x = 1/5

Substitute the known values in the above equation, so, we have the following representation

reciprocal = 1/(1/5)

Evaluate

reciprocal = 5

Hence, the reciprocal is 5

Read more about expression at

https://brainly.com/question/30492964

#SPJ6

please help quickly im on a test
if f(x)=x+4, and g(x)=2x+4, what is f(2)+g(2)?

Answers

Answer:

14

Step-by-step explanation:

f(2)+g(2)

(2+4)+(2×2+4)

6+8

14

What is the equation of the line with a y-intercept of −10 and a slope of 3?

y
=

10
x

3

y = − 10 x − 3

y
=

10
x
+
3

y = − 10 x + 3

y
=
3
x

10

y = 3 x − 10

y
=
3
x
+
10

y = 3 x + 10

Answers

tem que ser portugeis lindo tchua feio

Step-by-step explanation:

aaahahahahajababababaabb ano reposta e eeeeee 3992

5.solve for x 6. solve for x​

Answers

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

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

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

WILL GIVE BRAINLIEST

Answers

6²+ 8²= 10²

36 + 64 = 100

100 = 100

so yes because 6² + 8² = 10²

Option B

Carmen bought 15 pounds of sugar for $9.
How many pounds of sugar did she get per dollar?

(round to the nearest hundredth)

Answers

She got approximately 1.67 pounds of sugar per dollar. Please mark brainliest it would greatly be appreciated.
the answer would be 1.67

Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth.

Answers

Answer:

The answer is below

Step-by-step explanation:

Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.

Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:

[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC=6 and DC=4, what is the length of AC ?

Answers

Step-by-step explanation:

BC^2 + DC^2 = AC^2

6^2 + 4^2 =AC^2

36 + 16 = AC^2

52=AC^2

√52=AC

AC=7.2111

Which equation represents a proportional relationship that has a constant of proportion nationality equal to 4 - 5

Answers

Question:

Which equation represents a proportional relationship that has a constant of proportionality equal to 4/5

Answer:

[tex]y = \frac{4}{5}x[/tex]

Step-by-step explanation:

Required

Equation with 4/5 as its constant of proportion

Two proportional quantities x and y have the following relationship:

[tex]y = kx[/tex]

Where k is the constant of proportion.

In this case:

[tex]k = \frac{4}{5}[/tex]

So.

[tex]y = kx[/tex] becomes

[tex]y = \frac{4}{5}x[/tex]

PLEASE HELP PLEASE ASAP​

Answers

Answer:

60ft

Step-by-step explanation:

multiply all the #

A family eats at a restaurant. The bill was $54. The family leaves a tip and spends $60 total. How much was the tip as a perentage of the bill? (round to the nearest whole percent)

Answers

Answer:

11%

Step-by-step explanation:

60 - 54 = $6 The tip is $6 since they were meant to pay $54 but gave $6 extra.

The bill is $54.

6/54 = 0.1 recurring

0.1 × 100 = 11.1%

11% is the percentage.

I hope that helps!! ^-^

Pythagorean Theorem Word Problems Mazel​

Answers

Is there supposed to be a picture here?? There isn’t.

Choose the graph of the system of equations.
P=10d
P=8d+40

Answers

Answer:

Step-by-step explanation:

10d = 8d + 40

2d = 40

d = 20

10(20) = P

200

(20, 200)

Option 1 is the first choice

Is this correct and if not what am I missing?

Answers

it would be B. because the others aren’t correct

Answer:

Yes you are correct

The peak is at 5

Step-by-step explanation:

Can someone plz help me with this the answer choices are at the bottom plz I beg u

Answers

formula is v=1/3Bh
shape of base is rectangle/parallelogram
solution: 192cm^3
sorry if it’s wrong , been a while since i did it

Answer:

Step-by-step explanation:

PLSSS HURRY!!!

Here are the answer choices

A. counterclockwise rotation

B.Clockwise rotation

C.90 rotation

D. 45 rotation

E. 180 rotation

Answers

Answer:

B. Clockwise Rotation

Step-by-step explanation:

i hope it helps ;)

B. Cya adrianna ps. U shouldn’t include ur name in the photos

20=c/5

can you show your work thanks
Someone help me I need this one fast

Answers

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

If I’m correct the answer is A

Answer:

They only intersect once. (Correct letter is B)

Step-by-step explanation:

Slope Intercept Form:

2x - 4y = 3

-2x        -2x

________

-4y = -2x + 3

Switch the signs of all of the numerals since you cannot have a negative 'y' value.

4y = 2x - 3

----   ---------

4         4

y= 1/2x - 3/4

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

7y - 5x = 8

    +5x  +5x

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

7y = 5x + 8

----   ---------

7        7

y= 5/7x + 1 1/7

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

After graphing the lines, you then can see that the lines only ever intersect once.

HELP THIS IS DUE RN!!!!

Answers

Answer:

50 miles for every 1 hour traveled

Step-by-step explanation:

100 points! Look at the picture attached. I will mark brainliest! Random answers will be reported.

Answers

Answer:

this is your answer look it once

Answer:

5: x > 6

6: x < 62

Step-by-step explanation:

[tex](1)x + 14 < 2(3x - 8) \\ x + 14 < 6x - 16 \\ x - 6x < - 16 - 14 \\ -5x < - 30 \\ x > \frac{ - 30}{ - 5} \\ x > 6 \\ [/tex]

[tex](2)2(x + 22) > 3x - 18 \\ 2x + 44 > 3x - 18 \\ collect \: like \: term \\ 2x - 3x > - 18 - 44 \\ - x > - 62 \\ x < 62[/tex]

What’s the slope m and y-intercept b of both these images?

Answers

Answer:

Slope = 1

y-intercept = 3

Step-by-step explanation:

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Therefore, slope of the line passing through two points (0, 3) and (-3, 0) will be,

Slope = [tex]\frac{3-0}{0-(-3)}[/tex]

Slope = 1

y-intercept of the line = distance between the origin and point of intersection of the line with y-axis

y-intercept = 3

Calculate the area of the shapes below.

Answers

Answer:

the answer should be 24ft

Step-by-step explanation:

Answer:

24 ft

Step-by-step explanation:

1/2hb

4=h

12=b

plug in

1/2(4)(12)= 24

Use the double bar graph below to answer the following question.

What was the population of San Diego in 2000?



1,000,000
1,200,000
1,100,000
2,000,000

Answers

Answer:

the population would be 1,200,000 of San Diego in 2000

Answer:

1,200,000 is your answer

Step-by-step explanation:

What is the most common number of sit-ups completed in 1 minute? Explain how you used the dot plot to identify this number.
Write your answer in the space below.

Answers

Answer:

38.

Step-by-step explanation:

38 is the highest column in the plot.

Answer:

Heya

Step-by-step explanation:

the most common number of sit-ups completed in 1 minute is 38

hope it will be helpful :)

What is the equation of a line with a slope of 2 and a y intercept of -5?

Answers

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

what is 1 1/4 divided by 1 2/5 for kahn academy ?

Answers

Answer:

25/28

Step-by-step explanation:

5/4 x 5/7 = 25/28

Answer:

25/28

Step-by-step explanation:

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