A rectangle has a length of 31 inches less than 3 times its width. If the area of the rectangle is 984 square inches, find the length of the rectangle.

Answers

Answer 1

Answer:

41 inches

Step-by-step explanation:

The formula for Area of a rectangle is ;

A = L × W

L = Length

W = Width

A rectangle has a length of 31 inches less than 3 times its width.

L = 3W - 31

If the area of the rectangle is 984 square inches, find the length of the rectangle

Hence,

984 = (3W - 31) × W

984 = 3W² - 31W

Hence

3W² - 31W - 984

3W(W - 24) + 4(W - 24) = 0

(3W + 41)(W - 24) = 0

W - 24 = 0

W = 24 inches

We have to find the Length

L = 3W - 31

L = 3(24) - 31

L = 72 - 31

L = 41 inches

The Length = 41 inches

The Length of the rectangle is 41 inches


Related Questions

help mw with thes two plz owo

Answers

Answer:

for the first one y would be zero

for the second one c would be -13/3

Write the slope intercept form of the equation of the line through the given point plz

Answers

Answer:

y = 5/2x + 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 5/2

Point (-4, -5)

Step 2: Find y-intercept b

Define:                              y = 5/2x + bSubstitute in point:          -5 = 5/2(-4) + bMultiply:                            -5 = -10 + bIsolate b:                           5 = bRewrite:                             b = 5

Step 3: Write linear equation

y = 5/2x + 5

^^^^
please help :)))

Answers

2x-1.1/4+x/3=2

2x-1/4+x/3=2

2x-1/4+x/3+1/4=2+1/4

2x+x/3=9/4

3(2x+x/3)=3.94

7x=27/4

7x/7=27/4/7

x=27/8

PLEASE MARK ME AS BRAINLIEST IF U LIKE MY ANSWER AND SORRY FOR GIVING THE ANSWER LATE BECAUSE I'VE GIVEN U ANSWER FROM MY LAPTOP PLEASE TELL THAT IT'S CORRECT OR NOT

Abby is reading a 360 page book. On Monday she reads 1/12 of the book. On Tuesday, she reads 1/6 of the remaining pages. How many pages does Abby have left to read?

Answers

270 I believe jsnshsjsksjsj

Step-by-step explanation:

360 divided by 1/12 = 30

360 - 30 = 330

330 divided by 1/6 = 55

330 - 55 = 275

Answer: Abby has 275 pages left to read.

The triangles in the picture are congruent by which method.

Answers

Answer:

Theres no picture...

Step-by-step explanation:

Question 1 of 8
Which of the following math statements contain variable(s)? Check all that
apply.
O A. 11 - x= 9
B. 4 + 6 = 10
O C. 6 - 6 = 0
D. ? + 1 = 5

Answers

the answers should be a & d.

Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping paper and she wrapped 24 gifts, how much wrapping paper did she use for each gift?

Answers

She used 54.04 sq ft of wrapping paper

Which of the following tables of equivalent ratios is completed correctly? Choose all that apply. Show your work.
The first picture is A
The second one is B
And the third one is C

Answers

A and B are correct, c is wrong

⚠️⚠️ HELP me find the M the B and equation (Y=Mx+B) ⚠️⚠️

Answers

y = 30x

the b (y intercept) is 0

M = 30

B = 0

6t - 9 + t +13. help please ​

Answers

Answer:

7t + 4

Step-by-step explanation:

hope this helps (✿◕‿◕✿)

Which function has the same graph as x + y = 112 OA x) = -y + 11 OB. f(x) = -x + 11 Oc. x) = x- 11 O D. x) = y-11​

Answers

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

First if you rearrange the equation you get f(x) = -x + 11, like this:

x + y = 11

Minus x from both sides

y = -x + 11

F(x) and y are interchangeable so we just put f(x) in

f(x) = -x + 11

Each of the graphs are attached and we see that they are the same!

Hope this helps!!

- Kay

Express 10500 in terms of its prime factors​

Answers

Step-by-step explanation:

[tex]10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7[/tex]

1) What is the slope of the line in the graph show below?
A. -2
B. -1
C. 1
D.2
2) Find the slope of a line that passes through (-2,-3) and (1,1).
A. 1/3
B. 1
C. 2
D. 4/3

Answers

1) Answer is D which is 2

2) Answer is D which is 4/3

I am 100% Positive it is right. Brainliest would be appreciated!

What is the measure of ∠EGF?
°
What is the measure of ∠CGF?

Answers

Answer:

measure of <EGF =65°

measure of <CGF=115°

Step-by-step explanation:

180°-50°=130°

130°:2=65°

180°-65°=115°

Answer:

Angle EGF is 65 degrees

Angle CGF if 115 degrees

The polygons are similar. Find the value of x and y.

Answers

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{x-1}{6}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

[tex]\frac{y+1}{21}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

The Obstacle Fitness Course is scored by awarding 12 points for every
station that is passed and deducting 8 points for every station that is failed.
Stations that are not tried do not affect the score. Monica passed 7
stations and failed 4 stations. Julie passed 9 stations and failed 7 stations.
Who got a higher score?

Answers

Answer:

They had the same score

Step-by-step explanation:

Monica (12x7)+(-8x4)= 52

Julie (12x9)+(-8x7)= 52

Simplify -3√72

A
-18√6

B
-6√6
C
-18√2
D
6√2

Answers

Answer:

C. -18√2

Step-by-step explanation:

simplify
21-(x+7)
how do i solve it.

Answers

21 - (x + 7) We would multiple the numbers inside the parenthesis with -

21 - x - 7 Then we simplify

14 - x

Or if it’s equal to 0 and you need to isolate the x then it’s

x = -14

Award me brainliest please if this helped

Name the property shown 6+8=8+6

Answers

Answer:

The property that is shown here is communitive property.

Step-by-step explanation:

It is that because the number are switched but you can still get the same answers.

Commutative property! Specifically additional commutative property. You can switch the order around and still get the same outcome or sum:) hope I could help!

10) An object is moving at a speed of 8 miles
per year. Express this speed in meters per
minute. Round your answer to the nearest
hundredth.
A) 2 meters/min B) 2.2 meters/min
C) 0.02 meters/min D) 12 meters/min
ad
st

Answers

Answer:

c) 0.02 meters/min question on delta math

Step-by-step explanation:

Answer:

Step-by-step explanation:

Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.

Answers

Answer:

A and C

Step-by-step explanation:

What is the vertex of the parabola with the equation y=1/5x^2 + 2x - 8

Answers

Answer:

(-5,-13)

Step-by-step explanation:

Find the vertex of the parabola y=1/5x^2+2x−8.  

In this equation a=15  and b = 2.  

x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5

Substitute −5 into the equation y=1/5x^2+2x−8

y=1/5(−5)^2+2(−5)−8

y=5−10−8

y=−13

The vertex is (−5 , −13)

I need help with question 13. you have to simplify the expression and the answer will be a letter on the right side.​

Answers

Answer:

question 13 is with I

14x+21

Answer:

14x + 21

Step-by-step explanation:

In #13, perform the indicated multiplication (using Distributive Property):

-4(-2x - 7) + 6x - 7 becomes:

8x + 28 + 6x - 7, or

14x + 21     This is Answer "I"

Please help quickly I will give brainliest to the first correct response!

Jackie took $24 to the movie theater with her and her friends. The price of each bag of popcorn is $4 and the price of each candy bar is $3.

Let the x axis represent the number of candy bars and the y axis represent the number of bags of popcorn.

What is the x intercept and what does it mean?

What is the y intercept and what does it mean?

Answers

Answer:

x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.

y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.

Step-by-step explanation:

Answer:

When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.

Step-by-step explanation:

The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.

In AHIJ, m_H=(8x-6)°, m_1=(2x-4)', and m2)=(x-8)". Find mcH.

Answers

9514 1404 393

Answer:

  m∠H = 138°

Step-by-step explanation:

Perhaps you have ΔHIJ and want the measure of ∠H.

  ∠H +∠I +∠J = 180°

  (8x-6) +(2x-4) +(x-8) = 180

  11x -18 = 180 . . . . . . collect terms

  11x = 198 . . . . . . . . . add 18

  x = 18 . . . . . . . . . . .  divide by 11

Then angle H is ...

  m∠H = (8(18) -6)°

  m∠H = 138°

Please help me please thank you so much in advance

Answers

Answer:

147

Step-by-step explanation:

trust me im Really Smart GIVE ME BRAINLIST just did this question im first

Answer:

What is the question? BUT off guess I'm assuming its option (C) - 147

Step-by-step explanation:

Hope this helped if so please leave a rating! :)

THANKS!

ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′.



Select the option that completes the statement:



The triangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.



A. congruent; similar; proportional


B. congruent; proportional; similar


C. proportional; congruent; similar


D. proportional; similar; congruent

Answers

The statement is that when ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′, their corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar. The correct answer is option B

In order to prove the given statement, we will need to know that dilation is a transformation in which a figure is stretched in a particular direction by a certain factor (scale factor) while keeping its shape constant. We use this transformation to create similar figures.

When a figure is dilated, all of its corresponding sides are stretched, and the angles remain the same.The corresponding angles are the angles that have the same location in the two similar figures. The corresponding sides are the sides that have the same position in the two similar figures.

Since the triangles are similar, we can say that the corresponding sides of the triangles are proportional. On the other hand, the corresponding angles are congruent.

The correct option is B, which states that the triangles' corresponding angles are congruent, their corresponding sides are proportional, and therefore the triangles are similar.

For more questions on scale factor

https://brainly.com/question/29967135

#SPJ8

3) Find the perimeter of the following
polygon.
-4 yd.
9 yd.
P =

Answers

Answer:

p = 42yds.

Step-by-step explanation:

The single dashes indicate that each of those lines are equivalent

The double dashed lines are equal to each other

Because there are 6 single dashed lines that are all equal to 4 yards, and 2 double dashed lines that are both equal to 9 yards, your equation will look like this:

(4 x 6)+(9 x 2)=p

now just solve this using the order of operations

4 x 6 = 24 and 9 x 2 = 18 and 18 + 24 = 42 so p = 42yds.

Find the value of r so that the line through (1,2) and (-5,r) has a slope of 1/2

Answers

Answer:

The value of r is -1

Step-by-step explanation:

The slope of a Line

Suppose a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The points are (1,2) and (-5,r), and the slope is 1/2, thus

[tex]\displaystyle \frac{r-2}{-5-1}=\frac{1}{2}[/tex]

Operating:

[tex]\displaystyle \frac{r-2}{-6}=\frac{1}{2}[/tex]

Multiplying by -6:

[tex]2(r-2)=-6[/tex]

Dividing by 2:

[tex]r-2=-3[/tex]

Add 2:

[tex]r=-3+2=-1[/tex]

[tex]\boxed{r=-1}[/tex]

The value of r is -1

Find the value of x in the triangle shown below.
16
12

Answers

Answer:

20

Step-by-step explanation:

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