Mathematics Middle School

The Gilberts are you designing a rectangular patio for their backyard. The patio has an area of 432 square feet. The width of the patio is 3/4 its length. What is the length of the patio?

A: 15 feet
B: 24 feet
C: 36 feet
D: 270 feet

Answers

Answer 1

Answer: B: 24 feet.

Step-by-step explanation:

Let's assume that the length of the rectangular patio is "L" feet. Then, the width of the patio would be 3/4 L.

The area of a rectangle is given by the formula A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the patio is 432 square feet. Substituting the values of L and W, we get:

432 = L x (3/4 L)

Multiplying both sides by 4/3, we get:

(4/3) x 432 = L^2

Simplifying, we get:

576 = L^2

Taking the square root of both sides, we get:

L = ±24

Since the length cannot be negative, the length of the patio is 24 feet.

Therefore, the correct answer is option B: 24 feet.

Answer 2
B 24ft
X length
Width is 3/4x
X times 3/4x =432

Related Questions

Which unit rate corresponds to the proportional relationship shown in the graph?

Will mark brainliest !!

Answers

Haven't done this kinda problem in a while but I got 4/3 cm/s

Step-by-step explanation:

Using the coordinates given i put them into the formula:

        y1  -  y2

m=_________

        x1  -  x2

That gave me -16/-12, I simplified & got 4/3.

unit rate in this case would be the slope
To find the slope you need at least two points on a line
The formula would be m=y2-y1/x2-x1

16-0/12-0
16/12
Simplified we would divide by 4 since it goes into both numbers
4/3 as the answer

Can someone pls help!!

Answers

the answer is the first one..
The answer is the first one

As you as see by the eraser marks. I’ve been working hard. Pls help me!

Answers

(22 - 4) / 6

The answer would be 3 miles on each of the six days

Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles

Hope it helped! :)

I NEED THIS RIGHT THIS MOMENT

Answers

Problem
Which of the following equations are equations of direct variation? Choose all that apply.
(
A
)
(
A
)
x
=
−
2
y
x
=
-
2
y
(
B
)
(
B
)
x
+
2
y
=
12
x
+
2
y
=
12
(
C
)
(
C
)
3
x
−
2
y
=
0
3
x
-
2
y
=
0
(
D
)
(
D
)
5
x
2
+
y
=
0
5
x
2
+
y
=
0
(
E
)
(
E
)
y
=
0.3
x
+
1.6
y
=
0.3
x
+
1.6
(
F
)
(
F
)
y
−
2
=
x
y
-
2
=
x
Solution
Find
F
F
using the constant of variation formula
x
=
k
y
x
=
k
y
.
x
=
−
16
23
The answer is (a) and (c) since they both go up and down

A cylindrical of oatmeal canister has a diameter of 4 inches and a height of 10 inches. The manufacturing company wants to package the oatmeal in square containers to cut back on wasted storage space. If the new carton has a square base with 4 inch sides, what is the minimum height it must have, to the nearest 1/4 inch, to hold the same volume of oatmeal? Use 3.14 for the value of π.

Answers

Step-by-step explanation:

Volume of cylinder = pi r^2 h

Volume of square container = s x s x h

they need to be equal

pi r^2 h = s^2 h

pi (2)^2 * 10   = 4^2 h            (diameter = 4   then radius = 2)

40pi / 16 = h = 7.9 in  = ~ 8 in   to the nearest 1/4 inch

help me and thank you

Answers

Answer:

A rectangle is a parallelogram.

Step-by-step explanation:

A parallelogram is a shape with 4 sides. A rectangle has 4 sides and is therefore a parallelogram. It also has two sets of parallel lines which a rectangle does share with a parallelogram.

PLS ANSWER BELOWWW i am begging you

Answers

Answer:

123

Step-by-step explanation:

the two triangles are equiangular.

VZ/ZY = VW/WX

13.5/27.5 = VW/36

VW= 16.5*36/27.5 = 21.6

WZ/XY= 3/5

WZ:XY= 3:5

Pythagoras THEROM

44^2 + XY^2= 57.6^2

XY= 37.17

THE PREMETER = 22.3+37.17+36+27.5=123

Solve the word problem and ratio table.

Pls help me

Answers

60/5, 48/4, 36/3, 30/2.5, 24/2. you just multiply the bottom number by 12 or divide the top number by 12.

Pls help 50pts and brainliest

Answers

Answer: first u do a^2 + b^2 = c^2

Answer:a^2 + b^2 = c^2

An ordered pair of the function d(t) = 35t is _____.

(35, 35)
(35, 1)
(1, 35)
(1, 1)

Which ordered pair is not a solution of f(x) = 2x + 9?

(7, 23)
(3, 14)
(2, 13)
(0, 9)

Answers

the answer to the first one is (35,1)
the answer to the second one is (3,14)
answer to the question is the first one is (35,1) and the second one is (3,14)

HELP MEEEEEEEEEE PLS
If f(n) = n2 - 2n, which of the following options are correct?

Select all that apply.
f(2) = 0
f(-2) = 0
f(1) = 3
f(5) = 35
f(-4) = 24

Answers

Answer: A f(2)=0 I think

Answer:

f(2) = 0

f(-4) = 24

Step-by-step explanation:

[tex] \hookrightarrow \: { \tt{ \sf{f(n) = {n}^{2} - 2n }}}[/tex]

When n is 2 ✔

[tex] \dashrightarrow \: { \tt{f(2) = {(2)}^{2} - (2 \times 2) = 4 - 4 = 0}} \\ [/tex]

When n is -2 ✖

[tex] \dashrightarrow { \tt{ {( - 2)}^{2} - (2 \times - 2) = 4 + 4 = 8 }}[/tex]

When n is 1 ✖

[tex] \dashrightarrow{ \tt{f(1) = {(1)}^{2} - (2 \times 1) = - 1 }}[/tex]

When n is 5 ✖

[tex] \dashrightarrow{ \tt{f(5) = {(5)}^{2} - (2 \times 5) = 15}}[/tex]

When n is -4 ✔

[tex] \dashrightarrow{ \tt{f( - 4) = {( - 4)}^{2} - (2 \times - 4) }} \\ { \tt{ = 16 + 8}} \\ { \tt{ = 24}}[/tex]

What is the approximate difference between the volume of the sphere and the volume of the cone?


A about 13.6 cm3

B about 16.8 cm3

C about 4.3 cm3

D about 80.6 cm3

Answers

Answer:C

Step-by-step explanation:

The following table shows several ordered pairs of a function, m(x)

x m(x)
-1 -1.5
1 1.5
2 3
4 6

Graph m(x) on a coordinate plane to determine whether or not the function represents a direct variation. In complete sentences, describe your conclusion and reasoning. Include your graph in your answer.

Answers

Answer:

  m(x) = 1.5x . . . . direct variation

Step-by-step explanation:

You want to know if the function m(x) represents direct variation, given a table of values.

Direct variation

An equation for direct variation is ...

  y = kx

where k is a constant that can be found as the ratio of any (x, y) pair:

  k = y/x

  k = -1.5/-1 = 1.5/1 = 3/2 = 6/4 = 1.5

The ratios are constant, hence m(x) is direct variation with a constant of variation of 1.5.

Graph

The graph of direct variation is a straight line through the origin. The given points lie on such a line.

The two triangles below are similar. Use scale factor to find x
How to write solution: X = __ cm

Answers

Well Triangle A - ( 5cm by 3cm) and triangle B - ( 15cm by Xcm) if we divide 15/5 we get 3, we have to multiply 3 by 3 To get 9 wich is the angle length for x (or just multiply by 2/3)

A laundry basket has 24 t-shirts in it. Four are navy, 12 are red, and the remaining are white. Find the following probabilities of choosing one shirt at random.

P(red) =
P(white') =
P(green) =

Answers

Answer:

p(red)=1/2

p(white)=1/3

p(green)=0

Step-by-step explanation:

p(green)=0 because there was no green tshirts in the first place

Answer:p(red)=1/2

p(white)=1/3

p(green)=0

Step-by-step explanation:

p(green)=0 because there was no green tshirts in the first place

A flower was 1.6 meters high one week ago. In 7 days it grew 11 centimeters. What is the current height of the flower?

Answers

Answer:

The current height of the flower is 1.71 meters!

I hope this answer helped you!!!

Step-by-step explanation:

I took the test!!!

1.71 meters, hope this helps:)

Isabella drove 2 1/3 miles from home to school. Then, she drove 4 3/5 from school to the store and 5 4/5 miles home from the store. Write an addition sentence to show the total number of miles.

Answers

12 11/15.
Add 2 1/3 plus 4 3/5 plus 5 4/5 by converting them to improper fractions
Therefore 35/15 + 69/15 + 87/15 equals 191/15 which equals 12 11/15.

Hope this helps, pls subscribe to Mathlete2022.

could someone help me?

Answers

Answer:

There are 55 large boxes

and 70 small boxes.

Step-by-step explanation:

Let's assume that the number of large boxes is x, and the number of small boxes is y. We then can use how many pounds each box weighs to form a system of equations.

System:

[tex]50x+25y=4500\\x+y=125[/tex]

Step 1: Solve for a variable

[tex]x+y=125[/tex] is also [tex]y=-x+125[/tex]

Step 2: Substitute

[tex]50x+25(-x+125)=4500[/tex]

Step 3: Simplify

[tex]50x+-25x+3125=4500\\25x=1375\\x=55[/tex]

Step 4: Solve for y

[tex]y=-55+125\\y=70[/tex]

The answer would have to be 55 small and 55 large there is no other explanation

Which equation results from adding the equations in this system? Negative 6 x + 4 y = negative 8. 6 x minus 12 y = 14. Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22

Answers

Answer:

Negative 8y = 6

Step-by-step explanation:

-6x + 4y = -8

6x - 12y = 14

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

-8y = 6

Drag each expression to show whether it is equivalent to 8( t+ 4), 8 t+ 4, or neither.

Answers

8t+4 : 4(2t+1), 4t+4+4t
8(t+4) : 8t+32, (8•t)+(8•4)
Neither are the remaining ones

Math please help (needed in at most and hour)

Answers

What’s the question’s
What’s the question?

please answer question in the image below ty <3

Answers

Answer:

Step-by-step explanation:

(9x+13)

Mrs. Irons places the names of each of her four children in a hat at one time. She randomly draws a name, places it back in the hat, and draws again. The results are shown in the table below.
What is the experimental probability of selecting the name Alex?

Answers

Answer: 2/5

Step-by-step explanation:

p(e)=no. of observations/total number of observations

4/10

2/5

Therefore the answer is 2/5 . Look at the image of the solution below. Hope this helps. Pls subscribe to Mathlete2022.

The amount of a medicine, in milliliters, that a veterinarian prescribes is proportional to the weight, in kilograms, of a dog as shown on the graph.

What is the unit rate in milliliters per kilogram?

Enter your answer as a decimal in the box.

___ mL/kg

(graph in picture below) + brainliest/50 points

Answers

To the question answer is (8,10) & (20,18)

I don't know B. :⊂ Find the answer for me please?

Answers

Answer:

For A: The answer is (79-2x) degrees

For B: The answer is (169-2x) degrees

I hope this answer helped you out!

Step-by-step explanation:

I took the test!!!

A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.

If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?

Answers

Answer: 900

Step-by-step explanation:

If 24 out of 80 students are undecided, that is 24/80, or 3/10 (0.3).

To find how many would be undecided out of 3,000 students, multiply 3/10 by 3,000/1, and you get 900, which is your answer

Answer:

900

Step-by-step explanation:

A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.

If there are 3,000 students in the district, how many students do you expect to be undecided about school uniforms?

we can solve with an equation

80 : 24 = 3000 : x

x = 24 * 3000 : 80

x = 900

The price of a technology stock was $9.79 yesterday. Today, the price fell to $9.66. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer: 1.3%

Step-by-step explanation:

The percentage decrease can be found using the formula:

percentage decrease = [(original value - new value) / original value] x 100%

Substituting the given values:

percentage decrease = [(9.79 - 9.66) / 9.79] x 100%

percentage decrease = 1.33%

Rounding to the nearest tenth of a percent, the percentage decrease is 1.3%.

Answer: hope this helps ♡

The percentage decrease is 1.33%.

Step-by-step explanation:

Percentage decrease: dividing the value by the total value and then multiplying it by 100

Total value: $9.79          Value: $9.79 - $9.66 = 0.13

[tex]\frac{0.13*100}{9.79}[/tex]  =

(0.13 × 100) ÷ 9.79 =

13 ÷ 9.79 =

1.32788559755 ≈ 1.33%

⋆ check image !!!!

⚝ the variability in the data for period 1 is [ ... ] the variability in the data for period 2 .

choices ...

✰ less than

✰ equal to

✰ greater than

Answers

Greater than 75 less than 97/98

Period 2 greater than 74 less than 97/98

Isabelle loves to bird-watch and buys a large bird feeder for her yard. The feeder holds 3
3
4
pounds of birdseed. Isabelle wants to fill it with a birdseed mixture that will attract a variety of birds. The birdseed comes in bags that hold 1
1
2
pounds. How many bags' worth of birdseed will it take to fill the feeder?

Answers

Answer:

I think the answer is 3 ¾

Step-by-step explanation:

I just counted the boxes. there are 3 completely filled boxes and one box ¾ of it filled.

hope this helps

If you multiple 112 times 3 you get an answer of 336 which is two pounds more than you need. So your answer is 3 bags. There will be two pounds left in one of the remaining bags.

Could someone help me with this quikly

Answers

Answer:

Plan A=3/2 hours Plan B=5/4 hours

Step-by-step explanation:

Plan A equals x

Plan B equals y

So than 3x+2y=7

And 8x+4y=17

Then you multiply the first equation by 2 to get rid of Y. 6x+4y=14 and 8x+4y=17 2x=3 x=1.5 y=1.25

The answer is plan a
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