The length of a rectangle is 8 inches more than twice its width. The area of the rectangle is 120 square inches. How many inches is the length of the rectangle?

Answers

Answer 1

Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20


Related Questions

if an arithmetic sequence has a1=5 d=-2 and n=18 what is sn?

Answers

Answer:

sn = -216

Step-by-step explanation:

If an arithmetic sequence has a1=5 d=-2 and n=18 what is sn?

The formula for sn is given as:

sn = n/2[2a +(n - 1)d]

Hence, we fill in our values

sn = 18/2 [2 × 5 + (18 - 1)-2]

sn = 9 [ 10 + (17)-2]

sn = 9 [10 - 34]

sn = 9 × -24

sn = -216

Take 39/50 simplify into a fraction

Answers

Answer:

This fraction is in the simplest form already.

Step-by-step explanation:

This fraction is in the simplest form already. Here is why.

Result in decimals: 0.78

Need it by 1.30 show working

Answers

Answer:

ill do it when i get home with the explanation attached also !

Step-by-step explanation:

Students in the fifth-grade class bought 30 yards of fabric to make pennants for a pep rally. Each pennant requires 1/3 yard of fabric. If the students have already made 35 pennants from the fabric, how many more pennants can they still make? *

Answers

the answer is 49 :))

Answer:

49

Step-by-step explanation:

28/1/3= 49

The parallelogram below has an area of 15 1/6 square feet. What is the height of the parallelogram?

Answers

Answer:

Check the explanation

Step-by-step explanation:

A = bh

A = 15 1/6 = 91/6      and    b = 2 1/3 = 7/3

91/6 = 7/3(h)

h = 91/6 ÷ 7/3

I will let you finish this 5th grade arithmetic problem.  OK?

Please help me with this

Answers

Answer:

(4, 5) -> (5,2)

(-3, 3) -> (-2, 0)

(-4, 5) -> (-3,2)

Step-by-step explanation:

The triangle is translated 1 unit(s) to the right and 3 unit(s) down.

what is the equation of the line passing through the points (-4,7) and (8,-13)

Answers

8-13 for 1 an d two
-4,7

Determine the sum of the interior angles of a polygon with 30 sides.

Answers

Answer:

5040

Step-by-step explanation:

(30-2)x180

Select all the numbers that are common multiples of 4 and 6.
1
2
10
12
24
40
60

Answers

Answer:

12, 24, and 60.

Step-by-step explanation:

It says multiples. Not factors, so it can't be 1 or 2. Neither of the numbers can make the number 10. 4 can make 40, but 6 can't.

Answer:

12, 24, 60

Step-by-step explanation:

24 59' 60'' is equivalent to what degrees

Answers

Answer:

25 degrees

Step-by-step explanation:

The computation is shown below:

24°59'60" = 24°+59'+60"

Now

As we know that

1'=60"

i.e. (1 minute = 60 seconds)

so,

24°+59'+60" = 24°+59'+1'

=24°+60'

Also,

1°=60'(1 degree=60 seconds)

= 24°+1°

=25°

how would you factor (x^2-4x+4)?

Answers

Answer:

[tex] \huge \boxed{ \boxed{ {(x - 2)}^{2} }}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringPEMDAStips and formulas:(a-b)²=a²-2ab+b²let's solve:rewrite the given expression:(x)²-2.2x+(2)²(x-2)²

and

we are done

The factor form of this expression would be (x-2)^2
(x)^2-2(2)(x)+(2)^2

Please help me!! So confused? what's the answer??!!!
NO SPAM
NO WRONG ANSWERS
(YOU have been WARNED)
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IF not you WILL BE REPORTED!!!!!

Answers

Answer:

V = 113.04

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

V = 4/3(3.14)3³

V = 4/3(3.14)27

V = 113.04

how do i solve this .75x4 – 8 = -12

Answers

assuming the .75x4 is .75 times x times for and not .75 times four...
Firstly, know you want x on its own.

So I’d start by adding 8 to both sides. This cancels out the -8:

.75x *4 - 8 = -12
+8 +8

= .75x * 4 = -4

Now divide by 4, both sides.
.75x * 4 = -4
———————
4

=.75x = -1

Finally, divide both sides by .75:

.75x = -1
—————
.75

= x = -1.33 (33 repeating) OR -4/3

But if you meant .75x^4 - 8 = -12 then here’s the answer.

First you add 8 to both sides, so:

75x^4 - 8 = -12
+8 +8

= .75x^4 = -4

Now divide both sides by .75:

.75x^4 = -4
——————
.75

= x^4 = -5.3333 OR -16/3

Now’s the harder part. We need to get rid of ^4 from x. Which means taking the root (both sides)...

An easier way to say this, and how I prefer to set it up, is + or - (-16/3)^(1/4)

You have the + or 1 part because the square root of something is always able to be positive or negative— as an easy example, 2*2=4 and -2*-2=4, so root of 4 could be -2 or 2. Anyways for this problem there aren’t any real solutions.

If your teacher is expecting you to use i in order to get the answers (for this last part, assuming they wanted .75x^4 and not .75x*4) then I can explain in the comments but it’s definitely harder than what I’ve shown here.

Answer as many as you can pleaseeeeeee

Answers

Answer:

8. G 9. C 10. G 11. A 12.?

Step-by-step explanation:

Please don’t use a tinyurl or be a deleted acc.

Answers

Answer:

a. 10%

b. 37.57

c. What the coin was worth 3 years prior to 2000

Step-by-step explanation:

a. The equation for exponential growth is v(t) = P(1+r)^t. Where v(t) is the total amount, P is the principal, r is the rate of growth, and t is time in years. For part a, you need to find r, the rate. In this situation, r is equal to .1, which is equal to 10%.

b. To find part b simply solve the equation for when t equals -3. So the equation should look like [tex]v(t)=50(1.1)^{-3}[/tex]. When this is plugged into a calculator or solved by hand the total equals $37.57.

c. In this, t equals the time in years since 2000. Since -3 is negative, this must take place 3 years before 2000. Therefore, v(-3) must represent the value of the coin in 1997.

Shortbread fingers
Makes 20
120g butter
50g caster sugar
170g plain flour
How much of each ingredient will be needed to make 50
fingers?
GLF

Answers

Step-by-step explanation:

120/20=6g

50/20=2.5g

170/20=8.5g

for one shortbread ^^

6*50=300g

2.5*50=125g

8.5*50=425g

for 50 shortbread ^^

Simplify the following expression:

6(3x) − 2y + 3z + 12(4x) − 9y

Answers

this is the simplified answer:
66x - 11y + 3z

The simplified expression is 66x - 11y + 3z To simplify the given expression, we can combine like terms:

6(3x) − 2y + 3z + 12(4x) − 9y

Simplifying each term:

18x − 2y + 3z + 48x − 9y

Combining the like terms:

(18x + 48x) + (-2y - 9y) + 3z

Simplifying further:

66x - 11y + 3z

Therefore, the simplified expression is 66x - 11y + 3z.

To know more about expression:

https://brainly.com/question/34132400

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The admission fee to a state fair is $8.00. Each ride costs an additional $4.00.
Karen only has $30.00 which inequality can be used to determine the number of rides, x, Karen can go on?
A.
B.
C.
D.

Answers

Answer:

B

Step-by-step explanation:

$ 8 flat fee, $ 4 per rides (x)

8+4x has to be either equal to or less than $30, Karen cannot owe money.

B. 4x+8 <= 30

Answer:

B

Step-by-step explanation:

4 is going to be multiplied by the number of riders and since we dont know that, we use x.

4x + 8 is less than or equal to 30.

In a cookie jar 1/4 of the cookies are chocolate chip and 1/2 of the rest are peanut butter what fraction of the cookies are peanut butter?

Answers

Answer:

1/4

Step-by-step explanation:

1/2=2/4

2/4+1/4= 3/4

4/4-3/4= 1/4

Can Someone help me with the work

Answers

Answer:

You got this you don't get help

Step-by-step explanation:

Answer:

savannah is the answer.its correct

Debbie wants to buy a new cover for her phone. She does not have enough money for the one she is considering. Debbie has $24.00 which is 80% of the cost of the phone cover she would like. What is the price of the phone cover?​

Answers

Answer:

30.00

Step-by-step explanation:

24=80%

12=40%

6=20%

80%+20%=100%

24+6=30

The price of the phone would be $30

Hw assignment. what is wrong?​

Answers

On the second step, the student said x - x is 2x, when it should equal 0
The second step should read
6x - 5 = 7
The student should then add 5 to each side
6x = 12
The student should then divide by 6 on both sides
x = 2

Answer:

the second and first steps. in the second part, x, should be substracted by x

so no xz should remain in the second part of the equation.

the second step would be:

6x - 5 = 7        

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!! :D

-Lil G

Which of the following are the most compatible numbers for dividing 8,652 = 45?​

Answers

Answer:

2

Step-by-step explanation:

None of the given numbers are compatible for dividing 8,652 by 45.

What are compatible numbers?

Compatible numbers seem numbers that are simple to work with mentally and can be utilized to estimate or validate mathematical solutions. Compatible numbers are frequently selected based on how close they are to the numbers involved in the situation.

We can utilise divisibility principles to remove some alternatives when determining which integers are the most compatible for dividing 8,652 by 45.

The divisibility rule for 45 states that a number has to be divisible by both 9 and 5. As a result, we want to identify 9 factors that also divide 8,652.

The divisibility rule for 9 states that the sum of a number's digits must be divisible by 9 in order for the number to be divisible by 9.

So, add the figures 8,652 together: 8 + 6 + 5 + 2 = 21.

We can't divide 8,652 by 45 evenly since 21 isn't divisible by 9.

Therefore, none of the given numbers are compatible for dividing 8,652 by 45.

Learn more about Compatible numbers, here:

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LCM and GCF of 150:600 and 900????
pleas help I didn't get the ratio part​

Answers

Answer:

LCM: 1,800

GCF: 150

Step-by-step explanation:

150:600 = 150 / 600 = 0.25 (that's pretty much what a ratio is, just a fraction or part of a whole.)

150 is the greatest common number that will factor into all three, and the least/smallest number they all multiply into is 1,800

Factor the trinomial completely. 22x2-37xy+13y2

Answers

Answer; (11x−13y)(2x−y)

Step-by-step explanation:

please help with this one! 7th grade math

Answers

Answer:

.25

Step-by-step explanation:

400 cents ÷ 4= 100 and 1/4 of 100 is 25 so it .25

Find the area of the shaded sector. Round your
answer to the nearest tenth. Use 3.14 for TT

Answers

Answer:

70.68583470

70.7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Help me with this!! Will mark Brainliest

Answers

Answer:

FE is not congruent to FG.

Step-by-step explanation:

FE is 49 and FG is 111.

So, because these two numbers are not equal,

FE is not congruent to FG.

I need help ASAP plz

Answers

if i’m not mistaken p should equal 5 and q should equal 9 ?

Answer:

p=5

q=9 or 3???

I only know (p)

what scale factor can be applied to cone 1 to make cone 2?

a. 4/3
b. 3/4
c. 3/2
d. 2/3

Answers

Answer:

2/3 can be applied to cone 1 to make cone 2.

Step-by-step explanation:

2/3=0.666666..

Any number between 0-1 can be used to "shrink" the object/volume.

- Divide a dimension of Cone 2 by the corresponding dimension of Cone 1 (2÷3)

The scale factor of the cone 1 to cone 2 will be 3/2. Then the correct option is C.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The cone 1 has the base radius of the circle is 3 units and height of the cone is 9 units.

The cone 2 has the base radius of the circle is 2 units and height of the cone is 6 units.

Then the scale factor of the cone 1 to cone 2 will be

Scale factor = (Radius of cone 1) / (Radius of cone 2)

Scale factor = 3 / 2

Thus, the scale factor of the cone 1 to cone 2 will be 3/2.

Then the correct option is C.

More about the dilation link is given below.

https://brainly.com/question/2856466

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