The area of a rectangle is 48ft2. The length is 3 times the width. Which of the following equations can be used to solve for the width?

Answers

Answer 1

Answer:

Width of rectangle = 4 ft

Step-by-step explanation:

Given:

Area of rectangle = 48 ft²

Length of rectangle = 3[Width of rectangle]

Find:

Width of rectangle

Computation:

Assume;

Width of rectangle = a

So,

Length of rectangle = 3[Width of rectangle]

Length of rectangle = 3a

Area of rectangle = l x b

48 = 3a x a

3a² = 48

a² = 16

a = 4

Width of rectangle = 4 ft

Length of rectangle = 3[Width of rectangle]

Length of rectangle = 3[4]

Length of rectangle = 12 ft


Related Questions

Bailey is comparing two squares. The first square has an area of 144 cm2, and the second square has an area of 81 cm2. What is the difference in the side lengths of the two squares?

Answers

Answer:

They are both 63 Inches/ Lengths apart.

Step-by-step explanation:

You see when it comes to cm2 inches and lengths You must always Analyze your work and figure out if you can seperate the two among themselves equally. 81 Goes into 144. 63 plus equation.

Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)

Answers

Answer:

3/36 -> 1/12 or 2/36 -> 1/18

Step-by-step explanation:

1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed

What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 17 meters, and a length of 13 meters?

Answers

Answer: 3084

Step-by-step explanation: 14•17=238 238•13=3084

Answer:

3094

Step-by-step explanation:

l=13   w=17   h=14

v = L W H

V= ( 13 ) ( 17 ) ( 14 )

V= 3094 meters 3

 Your Solution:

                       V= 3094

A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?

Answers

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

) A different rectangle has area 12a² and perimeter 14a
What are the dimensions of this rectangle?
Dimensions:
. by​

Answers

Answer:

l = 4a and b = 3a

Step-by-step explanation:

Given that,

The area of the rectangle, A = 12a²

Perimeter, P = 14a

The area and perimeter of a rectangle are given by :

A = lb

12a² = lb ....(1)

P = 2(l+b)

14a = 2(l+b) ....(2)

We need to solve equations (1) and (2). After solving we find that.

l = 4a and b = 3a

Hence, the dimensions of this rectangle are 4a and 3a.

Find the common ratio of the geometric sequence 6 , 24 , 96 , . . .

Answers

Answer:

4

Step-by-step explanation:

6 * 4 = 24

24 * 4 = 96

write the sum 3+3+3+3+3+3 using sigma notation ​

Answers

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

What is sigma notation?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

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If a figure has elght vertices and 12 edges, how many faces does it have? 10
8
6
4

Answers

Answer:

It would have 6 faces

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

             ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

Subtract 6 from both sides we have;

f = 6

Here are some points. What is 2/5 out of twenty?

Answers

Answer:

8

Step-by-step explanation:

You just need to multiply 20 by 2/5

Or, multiply 20 by 2, then divide by 5.

20 x 2/5

40/5

8

2/5 of 20 = 40/5 or simply, 8.

Have a great day!

Giving brainliest!!!!!!

Answers

Answer:

Answer should be 6, I think

Which of the following tables shows that y is a function of x?

Answers

Answer:

Table B

Step-by-step explanation:

Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.

The only table that satisfies this condition is the table in option B.

In table B, every x-value is related to only exactly one y-value.

Please answer this I need this answer today God bless America and have a good day! Organize the following facts from the book “Words to Save the World” into the appropriate categories. put the sentence in the boxes that goes together from problems and solutions

Answers: Chemical companies tried to discredit Rachel and her work.

Rachel decided to work alone.

Rachel wrote a book called Silent Spring to make people aware of environmental problems.

The assistants worked too slowly.

[Problem] and [Solution]

Answers

Answer:

problems

Chemical companies tried to discredit Rachel and her work.

The assistants worked too slowly.

 

solutions

Rachel decided to work alone.

Rachel wrote a book called Silent Spring to make people aware of environmental problems.

Step-by-step explanation:

If ∆HCN~∆BMD, solve for x.

Answer options:
A.11
B.12
C.13
D.14

PLEASE HELP ASAP THANK YOU!

Answers

Answer:

13

Step-by-step explanation:


Sophie needs to determine the amount of water that will fit into her new vase, shown below.

Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere

Answers

Answer:A truncated cone and a sphere

Step-by-step explanation:

I just did it.

The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

Sophie needs to determine the amount of water that will fit into her new vase, as shown below.

What is the volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.

Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

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n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.

Answers

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

I really want to know what 2+2 is.

Answers

Answer:

Step-by-step explanation:

4

Answer:

It's 4 for you and 5 points for me

Step-by-step explanation:

This recipe makes 6 portions of fajitas.
Carly has 900 g of chicken, 1200 g of peppers, 150 g of onion, 60 g of spice mix and 30 tortillas.
How much more of each ingredient will she need to make 18 portions by following this recipe?

Recipe: Serves 6
500 g chicken
600 g peppers
90 g onion
25 g spice mix
12 tortillas

Answers

Answer:

She needs:

600 g chicken

600 g peppers

120 g onion

15 g spice mix

6 tortillas

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)


Well, first we multiply every ingredient in the recipe amount by 3, because 6 x 3 = 18. Then we’ll subtract what we have from what we need.

500 x 3 = 1500g of chicken
600 x 3 = 1800g of peppers
90 x 3 = 270g of onion
25 x 3 = 75g of spice mix
12 x 3 = 36 tortillas

Chicken: needs 1500, has 900
1500 - 900 = 600g more chicken needed

Peppers: needs 1800, has 1200
1800 - 1200 = 600g more peppers needed

Onion: needs 270, has 150
270 - 150 = 80 g more onion needed

Spice mix: needs 75, has 60
75 - 60 = 15g more spice mix needed

Tortillas: needs 36, has 30
36 - 30 = 6 more tortillas needed

Please let me know if you have any questions.

A traffic fanatic wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He assumes that each car is 17 feet long, travels at speed s, and follows the car in front of it at a safe distance for that speed. He finds that the number N of cars that can pass a given spot per minute is modeled by the function
N(s) 87s/19 + 19 (s/24)2|
At what speed can the greatest number of cars travel safely on that road?

Answers

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The soup pot is 8.5 inches tall with a radius of 4 inches

Answers

The volume of the cylinder in question is 427.26 inches.

The volume of the cylinder is 427.04 inches 2.

soup pot is 8.5 inches tall

radius of 4 inches.

What is volume?

Volume, is defined as the ratio of the mass of object to its density.

Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2

Thus, the required volume is 427.04 inches 2

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PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

Answer:

hiiio......

Step-by-step explanation:

b)8 boxes...

3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?

Answers

Answer:

1.75 liters

Step-by-step explanation:

Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)

A kangaroo hops 2 kilometers in 3 minutes. At this rate, the kangaroo will travel kilometers in 15 minutes.

Answers

Answer:

the kangaroo will travel 10 kilometers

Step-by-step explanation:

15/3=5

5×2=10

Answer:

10

Step-by-step explanation:

We can use the ratio:

3:2

15:?

15/3 is 5

2*5 is 10.

I need help with this math question

Answers

m2 = 127
m7= 127
m8= 53

Answer this please. I need it done in 5 minutes ASAP. Thank you

Answers

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

Brainliest for correct answer asap

Answers

Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.

Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8

Answers

the second, third and fourth
Ummm well 80/10 isn’t equivalent.. and 80 divided by 10 isn’t equivalent either... and 8 isn’t equivalent either
Have a great day :)

HELP By Today
Please

The number of permutations of 5 objects taken 2 at a time is P(5,2). The value of
5!
P(5,2) could be found by applying 5P2=
(5 – 2)
What is the value of P(5,2)?

A-60
B-20
C-6
D-120

Answers

Answer:

20

Step-by-step explanation:


A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 ft, width 18 ft, and depth 4 ft. Suppose water is pumped out of the
pool at a rate of 216 ft per hour. If the pool starts completely full, how many hours does it take to empty the pool?
hours ( NO LINKS , LINK WILL GET YOU BANNED )

Answers

Answer:

10 hours (I am not positive)

Step-by-step explanation:

We first want to find the volume of pool which is 30 x 18 x 4 = 2160.

Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)

Plsss this is timed!

Answers

Answer:

c i think ???

Step-by-step explanation:

I think it’s D???

sorry if it’s wrong


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."

YXZ and TUS

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