Mathematics Middle School

A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.
a. Write an equation that represents the situation.
b. Find the length and width of the rectangle.
c. Find the perimeter of the rectangle.
pls help lols

Answers

Answer 1

Answer:

Step-by-step explanation:

a) Let the width = w

Two times its width = 2*w = 2w

9 inches less than 2w = 2w - 9

Length = 2w - 9

Area of rectangle = length *width = 180 square inches

(2w - 9 ) * w = 180

2w*w - 9*w = 180

2w² - 9w - 180 = 0

b) sum = -9

Product= -360

Factors  = -24 , 15    {15 *[-24] = -360 and 15 + (-24) = -9 }

2w² - 9w - 180 = 0

2w² - 24w + 15w - 180 = 0

2w(w - 12w) + 15(w - 12) = 0

(w -12) (2w + 15) = 0

{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}

w - 12 = 0

w = 12 inches

l = 2w -9

 = 2*12 - 9

= 24 - 9

l = 15

length = 15 inches

Width = 12 inches

c) Perimeter = 2 *(length + width)

                     = 2*(15 + 12)

                     = 2 * 27

                     = 54  inches

Related Questions

Please help!!!! At a gymnastics meet, a gymnast scored an 8.95 on the vault and a 9.2 on uneven bars. Write two equivalent expressions that could be used to find her total score. NO LINKSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

8.95 + 9.2 = 18.15

9.2 + 8.95 = 18.15

Step-by-step explanation:

8.95 + 9.2 = 18.15

9.2 + 8.95 = 18.15

29.Consider the diagram below. Solve for x.

Answers

Answer:

104

Step-by-step explanation:

104 is parallel to x meaning it would stay as 104 (this is what my school tought me sorry if its incorrect)

the answer is 79


I hope this helps :)))

Which side lengths represent the sides of a right triangle?
A) 1, 1, 2
B) 2,35
C)3,4,5
D) 5, 11, 13 10​

Answers

So your answer will be b

Answer:

Hello There!

Step-by-step explanation:

Your answer will be B.

Jeffrey is reading a book by his favorite author. He expects to read 40% to 55% of the book in one week. The book has a total of 450 pages. Which could be the number of pages he expects to read in one week?

A 170
B 175
C 220
D 250

Answers

D I think because 450 divided by 2 is 245, if I am right can you mark brainliest
C buddy for sure! Nark me if you can thnx

A rectangular prism has a volume of 912 cubic meters. It has a length of 19 meters and a width of 12 meters. Which equation could be solved to find the height of the rectangular prism?











A)114h = 912


B)228h = 912


C)15.5h = 912


D)31h = 912

Answers

Answer:

B. is the correct answer.

Thank you.

Step-by-step explanation:

B is the best answer to go with

What doesr2mean?
Group of answer choices

r×r

2r

r2

Answers

Answer:

r2 means r x r

Step-by-step explanation:

2 is an exponent, meaning that the number (what r is) will multiply twice, meaning r x r.

For example, if r was 4, then you would multiply 4 x 4, which is 16 and not 4 x 2, which is 8.

Many make this mistake, which can cause big trouble. As you saw in the example above, products are not the same.

Hope this helps! :)

Is Brainliest an option?

...

it means rxr, r times r is just doubling r

54. Consider the following trapezoid.
Find the value of a, b, c, and d.

Answers

Answer:

a=4cm

b=3cm

x=5cm

Answer:
a=4cm
b=3cm
c=5cm

There are 12 students in the gym class. If 4 students can sit on 1 bench, how
many benches are needed for all the students?

(NO LINKS OR FILES!)

Answers

Answer : 3
Explanation: if 4 people can sit in 1 bench, 8 people can sit in 2 and 12 people can sit in 3, so your answer will be 3

Select the correct answer from each drop-down menu.

For this data set, the best measure of center is the
, and its value is
.

Answers

The best measure of center is median
It’s value is 60
The best measure of the center is “median” this means middle number. The answer is 60.

Tip:
To find the median number organize the numbers from least to greatest, like this:

40 40 55 55 55 60 60 65 65 70 70 70

Now just cross the numbers in this order: right to left like this:

40 55 55 55 60 60 65 65 70 70

This way you should find the middle number. If you end up with two numbers as the middle you need to add them and divide by 2 to find the average of the two numbers.

Hope this helps!!

PLS HELP ME OR ILL ME PLS :_:::::

Answers

Its 30, i multiplied 6x5 and got 30 so im sure its the answer
the answer is probably 30

Which choice is equal to 2.5

Answers

Answer: B)2 1/2

Explanation: just searched it up as 2 1/2 as a decimal and it gave me the answer

The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)

A triangular prism is shown with 2 right triangular sides having legs 4 and 3 and hypotenuse 5. The length of the prism is 5.5

Numerical Answers Expected!

Answers

Answer:

its 72.50

Step-by-step explanation:

GIVING BRAINLIEST ONLY IF CORRECT

Answers

Step-by-step explanation:

[tex]0.4 \div 0.2 = 2 \\✓ = option \: 3[/tex]

Answer:

The model that correctly shows the problem 0.4 divided by 0.2 is option 3.

Step-by-step explanation:

Option 3 has 4 out of 10 rowS shaded in, which you can infer immediately is the correct answer. Since 10 rows represent 1 whole, that means that 4 rows shaded in are 0.4. In option 3, the four rows are split by blue lines and have 2 rows, or 0.2, in each group, so option 3 matches the problem 0.4 divided by 0.2.

(47^2 - 46^2) / (17^2 - 14^2)

Answers

Answer:

1

Step-by-step explanation:

47^2=2209

46^2=2116

2209-2116=93

17^2=289

14^2=196

289-196=93

93÷93=1

Have a good day

Answer:

1

Step-by-step explanation:

Hello!

We can solve this by using the Difference of Squares formula:

(a + b)(a - b) = a² - b²

47² - 46², the numerator, is very similar to a² - b², so we can extract 47 as a, and 46 as b.

Rewrite the numerator:

47² - 46²(47 + 46)(47 - 46)(93)(1)93

We can use the same formula for the denominator the same way:

17² - 14²(17 + 14)(17 - 14)(31)(3)93

Rewrite the fraction and simplify:

[tex]\frac{93}{93}[/tex][tex]\frac11[/tex]1

The answer is 1.

The Lunchroom Murder
On an otherwise uneventful Thursday afternoon police heard a shot inside the local bistro, Ernie’s Lunchroom. They rushed in and found the scene shown in Figure 1.4.
They identified the body as that of a prominent racketeer named Fannin. Ernie, who is both the owner and only employee, had only one fact to tell: the murderer had leaned against the wall while firing at point-blank range. The imprint of his hand is in clear view.

The police have also noticed that the cash register had just been rung up at $8.75.
This is a difficult case. Your investigative team must attempt to determine which of the people in the lunchroom killed Fannin. You will have to observe the details carefully. There is enough evidence to help you explain most of what happened.

QUESTION: Which set of footprints are Ernie’s? What is the evidence?

Answers

Answer:

1 and 3

Step-by-step explanation:

38. Calculate the value of c in the triangle below.

Answers

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 12^2 = 225

[tex] \sqrt{225} = 15[/tex]

Hope this helps!!

Answer: 15
Step by step:

Anybody know the answer???

Answers

mean: 1.75
median: 9
mode: 11

Here is a quadrilateral inscribed in a circle. Jada says that it is square because folding it along the horizontal dashed line and then the vertical dashed line gives 4 congruent sides. Do you agree with Jada? Explain why or why not.

Answers

Answer:

yes

Step-by-step explanation:

because all the side are congruent, and there are four right angles that can be seen in the image!

A box of popcorn is 3 inches wide, 4 inches long, and 6 inches high. The box is half empty. What is the volume of popcorn left in the box?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

In the figure at the right, what is m∠1 if m∠3 = 70°?
plz help i beg i will give brailist and 20 points

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

m∠1 and m∠3 are vertical angles; vertical angles are congruent (equal).

m∠1 = m∠3.

Vertically opposite angles are always equal.
Which means :
Angle 1 = Angle 3
Thus, the measure of angle 3 = 70°
▪︎Therefore, the correct option is 70

Determine which graph has the line of best fit drawn and explain why.

Answers

Answer:

graph c

Step-by-step explanation:

because it is a more perfect line through the dots then the others, thats how you can always tell

A conveyor belt dumps gravel into conical piles. Kevin measured the height of one pile of gravel. It was 10 1/2
feet tall. The volume of the pile was 77 cubic feet. Find the diameter of the pile of gravel. Round the answer to the nearest hundredth.

Answers

Answer:

189

Step-by-step explanation:

What is the solution set for -4x-10 ≤ 2?

Answers

Answer:

x≥−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

−4x−10≤2

Step 1: Add 10 to both sides.

−4x−10+10≤2+10

−4x≤12

Step 2: Divide both sides by -4.

−4x /−4 ≤ 12 /−4

= x≥−3

brainliest please?

Answer:

x ≥ -3

Step-by-step explanation:

you add 10 on both sides

-4x - 10 ≤ 2

      +10  +10

=   -4x ≤ 12

then you divide -4 on both sides to get the x by itself

12/-4 is -3

since you divided by a negative you flip the sign

35. Which side of the triangle in the diagram is the hypotenuse?
A. X
B. Z
C. C

Answers

Answer:

the answer in the image is Y

the answer is y

this is because it is the longest side and it does not have a right angle

Brainlyest for the person who answers both and is right

Answers

123 x 10 to the -6 power
123 times X to the power of -6
Hope this helps

please help with these questions please

Answers

Answer:

7. adjacent

8.127°

Step-by-step explanation:

adjacent angles on a straight line add up to 180°

180-53=127°

Answer:

they are supplementary

x = 127

Step-by-step explanation:

supplementary angles equal 180 degrees so you would do: 180 - 53 to find x

Shiloh is doing a survey to find the time her classmates spend at the beach. She asks the following question:

Which student spends the most time at the beach?

Part A: Describe the data you would expect her to collect from this question.

Part B: Explain whether this is a statistical question. If this is not a statistical question, then modify the question to make it statistical.

Answers

Answer: it is a statistical question

Step-by-step explanation:

Answer:

read the explanation.

Step-by-step explanation:

Part A:

I would expect her to collect a certain number of times, such as: each dot = 1 hour. For example, if she had a dot plot or a chart to divide how much time each student stays at the beach (if that is understandable), along with her collecting the students' names to figure out the answer to her question.

Part B:

This is definitely a statistical question.

A statistical question is a question that can be solved by collecting data that varies.

so this can definitely be solved by collecting data. To even solve this, you need to collect data. The easiest way to solve this is with a dot plot. In my opinion, you also need to gather the students data, such as their names and how many (for example) hours at the beach they spent time there.

Sorry If its hard to read but it's worth a lot of points!

A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Statements Reasons
x squared plus b over a times x plus the quantity b over 2 times a squared equals negative 4 times a times c all over 4 times a squared plus b squared over 4 a squared Find a common denominator on the right side of the equation x squared plus b over a times x plus the quantity b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared | Add the fractions together on the right side of the equation the quantity x plus b over 2 times a squared equals b squared minus 4 times a times c all over 4 times a squared | Rewrite the perfect square trinomial on the left side of the equation as a binomial squared ? Take the square root of both sides of the equation

Answers

Answer:

Take the square root of each side

D (x+b/2a)  =±sqrt( (b^2-4ac)/ 4a^2)

Step-by-step explanation:

We have

(x+b/2a) ^2 = (b^2-4ac)/ 4a^2

We need to take the square root of each side to continue to isolate x

(x+b/2a)  =±sqrt( (b^2-4ac)/ 4a^2)

I hope thats right

Which of these is an irrational number?

A. 0.54 (54 keeps going)

B. 5/8

C. √17

D. √25

Answers

Answer:

C

Step-by-step explanation:

every non-perfect square is irrational

Answer: I think it is √17

Step-by-step explanation:

Because an irrational number is a number that cannot be represented in the simple form of a fraction. ... therefore √17 is an irrational number.

two car rental companies are running special this month at driveway rentals customers can pay to $30 rental free for a sedan and 15 for each day rental y = 15x + 30 at Harry's rental a car customer can pay a 40 rental free for a studding and $10 for each day of rental the cost for the two car rentals are shown on the graph below how many days must a car be pretend for the cost of both car rentals to be the same A4 B6 C2 D8​

Answers

I think A is the answer
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