the length of a rectangular sing is 4 time its width. if the sign perimeter is 20 inches. what is the sign area ?

Answers

Answer 1

Answer:

Area = 16 in²

Step-by-step explanation:

Represent the length with L and the width with W

We have the following given parameters:

L = 4W

Perimeter = 20

Required

Determine the area.

The perimeter is calculated as thus:

Perimeter = 2(L + W)

Substitute 4W for L and 20 for Perimeter.

20 = 2(4W + W)

20 = 2 * 5W

20 = 10W

Solve for W

W = 20/10

W = 2

Recall that:

L = 4W

L = 4 * 2

L = 8

The area is then calculated as thus:

Area = L * W

Area = 8 * 2

Area = 16

Hence, the area is 16in²


Related Questions

Can I get him with all the questions please?

Answers

Answer:

[tex]14.16\\15. a) 14[/tex]

Step-by-step explanation:

[tex]14. We\ are\ given\ that,\\The\ assumed\ number\ x\ is\ 4\ more\ than\ 12\\Hence,\\x=4+12\\x=16\\Lets\ see\ that\ x=16\ as\ a\ solution,\ matches\ with\ the\ other\ information\ provided.\\We\ are\ also\ given\ that,\\x<20, 16\ is\ less\ than\ 20\ too.\\x>13, 16\ is\ greater\ than\ 13\ too.\\x<17, 16\ is\ less\ than\ 17\ too.\\As\ all\ the\ conditions\ are\ satisfied,\ x=16\ as\ a\ solution\ is\ verified.\\[/tex]

[tex]15. a)\\Let\ the\ assumed\ no.\ be\ y\\Here,\ we\ are\ given\ the\ following\ information\ about\ y:\\y>10,\\y<20\\y>12\\y<15\\Hence,\\The\ number\ y\ lies\ in\ between\ 12-15.\\Hence,\\y\ could\ either\ be\ 13,14.\ But\ the\ phrase\ 'Of\ the\ numbers\ are\ left\\ I\ am\ the\ greater\ number', tells\ us\ that,\ y\ is\ the\ greater\ no.\ among\ 13\ and\ 14.\\Hence\ as\ 14>13,\\y=14[/tex]

Let u = (1,5), v = (-3, 3), and w = (2,3). What is the direction angle of 4w - (2u + v)?

Answers

Answer: d=353.7°

Step-by-step explanation: edge 2020

Coach DeLeon purchases spirt equipment. Basketballs cost $20 each and soccerballs $18 each, he had a budget of $150

Answers

Answer:

basketballs

Step-by-step explanation:

a inequality is less then or greatee then the basketballs are more

A circle representing a pool is graft with a center at the origin grant enters the pool at point A and swims over to a friend who is located at point B

which equation represents grants path

Y=2-4x

Y=4-x/2

Y=6-x/4

Y=8-2x

Answers

Y = 4-x/2 is the correct answer

A store is having a sale in which the cost of any item is 35% off.
Can the expression be used to find the cost, x, of an item?
Select Yes or No. Please look at your picture.

Answers

Answer:

1. no

2. yes

3. no

4. yes

Step-by-step explanation:

only the second and last expression works. If x is the final cost, and it is 35% off, then you are subtracting 0.35xor keeping 0.65x

please give thanks by clicking heart button! :)

The right rectangular prism below has a square base?Select yes or no.

Answers

Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

-3x - 8 = 10
Usatestprep

Answers

Answer:

X = -6

Step-by-step explanation:

Add 8 to both sides

- 3x = 18

divide by -3

x = -6

The correct answer for this is X=-6

The container that holds the water for the football team is 16 full. After pouring in 11 gallons of water, it is 23 full. How many gallons can the container hold?

Answers

Answer:

100

Step-by-step explanation:

what is 0.001332 in scientific notation i need help

Answers

Heyy how are youhope your doing good!
1.333×10 to the power of -3

Explanation:

What is the value of 3/7 ÷ 5/21 ?

Answers

Answer:

9/5 brainliest please

Step-by-step explanation:

Answer:

[tex] \frac{9}{5} \: or \: 1\frac{4}{5}[/tex]

Step-by-step explanation:

[tex] \frac{3}{7} \div \frac{5}{21} \\ \\ = \frac{3}{ \cancel7} \times \frac{ \cancel{21} \: \: \: \red{ \bold{3}}}{5} \\ \\ = 3 \times \frac{3}{5} \\ \\ = \frac{3 \times 3}{5} \\ \\ = \frac{9}{5} \\ \\ = 1 \frac{4}{5} \\ [/tex]

please help meeee


I need helpppp​

Answers

Answer:

the slope is 5 i do y feel like doing the work buuut ik im right mark me as brainlyest if im right

The slope is the number 5

IDK- PLS HELP ME plss

Answers

Answer:

C and D

Step-by-step explanation:

all you do is multiply :)

Find the value of x
Will give brainliest

Answers

x = 52.33333333
—————

Easy Unit Rate. Help quick!

Answers

Answer:

vuguvcfhhhhhhhhcgyy

Usha thinks that the area of the development will be greater than the total area of 50 football pitches.
Usha knows
• a football pitch is rectangular 100m by 50m
• 1 mile = 1600m.

Answers

Answer:

Usha is correct

Step-by-step explanation:

See attachment

Given

Dimension of the development

[tex]Height = \frac{1}{2}\ mile[/tex]

[tex]Base = \frac{1}{2}\ mile[/tex]

Dimension of a football field

[tex]Length = 100m[/tex]

[tex]Width = 50m[/tex]

First, we calculate the area of the development.

Because it is triangular in shape, the area is:

[tex]Area = \frac{1}{2} * Height * Base[/tex]

[tex]Area = \frac{1}{2} * \frac{1}{2}mile * \frac{1}{2}mile[/tex]

Convert mile to meter

[tex]Area = \frac{1}{2} * \frac{1}{2}* 1600m * \frac{1}{2} * 1600m[/tex]

[tex]Area = \frac{1}{2} * 800m * 800m[/tex]

[tex]Area = 400m * 800m[/tex]

[tex]Area = 320000m^2[/tex]

The area of 50 football pitch is then calculated as:

[tex]Area = 50 * Length * Width[/tex]

[tex]Area = 50 * 100m * 50m[/tex]

[tex]Area = 250000m^2[/tex]

By comparison:

[tex]320000 > 250000[/tex]

Hence, Usha's thought is correct

5. Viruses spread at an exponential rate. Write a model for a virus that starts with 1 person and increases by 400% every week. Write an exponential model in the form y=ab^x to represent this situation.

Answers

Answer:

y = 4^x

Step-by-step explanation:

Initial number is 1 so a = 1

Weekly growth rate is 400% which is 4 times increase, therefore b = 4

So the function becomes:

y = 4^x

Helpppp meeee fassttt pleaseeee

Answers

Answer:

 y = -1/3x + 3 2/3

Step-by-step explanation:

step 1. find the slope of the given line

y2-y1/x2-x1          2 - 4/ 3 + 3 = - 1 / 3

take the opposite of that and there is your slope

step 2. plug in the values to the following equation using the given point:

y - y1 = m ( x - x1 )          y - 4 = - 1/3 ( x + 1 )

step 3. solve for y

y-4 = -1/3(x+1)

-1/3(x) and -1/3(1)  ----> y-4 = -1/3x-1/3

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

hope this helps. if you need more help lmk in the comments. i am in algebra two so you can trust me. Happy holidays

Assume that when adults with smartphones are randomly​ selected, 63​% use them in meetings or classes. If adult smartphone users are randomly​ selected, find the probability that exactly of them use their smartphones in meetings or classes.

Answers

Answer:

Solved using binomial, probability = 5.7%

Step-by-step explanation:

Number of people (N) = 7

Probability of success (using phone) = 63% = 0.63

So, probability of failure (not using phone) = 1 - 0.63 = 37

Number of success (r) = 2

N c r . P^r . Q^n-r

7 c 2 (0.63)^2 (0.37)^5

= 21 (0.3969) (0.0069)

= 0.057

100pts!!!PLZ answer my question for God's sake PLZ​

Answers

3×2-2×y+c

hope that helps you

Answer:

lick a my suck a my

Step-by-step explanation:it is 3×2-2×y+c

Which equation is NOT an example of a linear function? A) y = 9 - 2x 6 B) y X C) y= + 9 2 D) y у; X-8 6​

Answers

Answer:

c

Step-by-step explanation:

im sorry if it's not correct

An artist has completed 1/4 of paintings in 2 weeks. At what rate is she working?

Answers

Answer: the rate is (1/8) paintings per week

Step-by-step explanation:

We usually define the rate as the amount of work done in some unit of time.

In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:

(1/4)/2  paintings/week = (1/8) paintings/week.

This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.

A cereal manufacture has a machine that files the boxes. Boxes are labeled as 16 ounces, which is the target fill (x). The lawyers want to fill the boxes more to avoid lawsuits regarding under filling and the company president vetoes that plan, saying the company should be giving away less free cereal, not more. Her goal is to set the machine no higher than 16.2 ounces and have only 4% underweight boxes. The only way to accomplish this is to reduce the standard deviation. What standard deviation must the company achieve

Answers

Answer:

σ = 0,11

Step-by-step explanation:

We assume the boxes filling process follows a Normal Distribution, then

z(score) = ( X - μ ) /σ     or   z(score) = ( μ - X ) /σ  

depending of the tail of the curve ( as we are evaluating boxes below mean we need to use the second equation )

where   μ  and σ are the mean and the standard deviation of the population

As the goal is to have boxes with no higher than 16,2 ou and only  4% of underweight boxes

4%   is 0,04   that should be the area under the bell shape curve then from z table we find z(s)

z(s) = - 1,75

z(s)  = ( μ - X )/σ

- 1,75 = ( 16,2 - 16 ) / σ

σ = 0,2 / 1,75

σ = 0,11

Help pleassss..................

Answers

Answer:

x=4

Step-by-step explanation:

First subtract by doing 64 minus 36. You are left with 28, divide by 7 and your answer is 4.

Answer: X = 4

Step-by-step explanation:

7x+36=64

7x+36−36=64−36

7x=28

Divide both sides by 7.

7x

7 =

28

7

x=4

HOPE THIS HELPS!!!!!! : )

I really need the answer ASAP

Answers

option A

A=x+3
B=x+(1+2)

A varsity boy's basketball team has a ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

Answers

Answer:

The varsity boys team

Step-by-step explanation:

A motorcycle zoomed along the freeway, traveling 10 meters in
1/3 of a second. How fast was it going?

Answers

Answer:

30 meters per second I think

Ya 30 can I get brain list please

what is the greatest common factor of 24 40 and 56

Answers

The common factors for 24,40,56 24 , 40 , 56 are −8,−4,−2,−1,1,2,4,8 - 8 , - 4 , - 2 , - 1 , 1 , 2 , 4 , 8 .

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 divided by 3  = 8

40 divided by 5 = 8

56 divided by 7 = 8

GCF is basically the greatest common factor. Mostly the greatest number factor of these multiples.

solve each inequality below using the Addition principle. Draw a graph of each solution set.
X-7 greater than O

Answers

Answer:

x > 7

Step-by-step explanation:

Given

x - 7 greater than 0

Required

Solve as inequality and represent as a graph

greater than is represented with >

So, the equation is:

x - 7 > 0

Add 7 to both sides

x - 7 + 7 > 0 + 7

x > 0 + 7

x > 7

Next, the inequality is represented on a graph.

See attachment for graph

The shaded part of the graph represents the solution to the graph.

Find the value of 24/25 divided by 4/5. Show your reasoning

Answers

Answer: 6/5

Step-by-step explanation:

24/25 divided by 4/5 equals 1.2 as a decimal and 6/5 as a fraction.

The simplified form of the expression is 30

Given the expression 24/25 divided by 4/5, this can also be written as:

x = 24/25 ÷ 4/5

Replace the division sign with multiplication sign to have:

x = 24/25 × 5/4

x = 6 × 5

x = 30

Hence the simplified form of the expression is 30

Learn more on division here: https://brainly.com/question/25289437

plzz anwser ill give brainlest simplify 16- 8/15

Answers

Answer:

232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]

Explanation:

16 - 8 / 15 =

(16) - (8 / 15) =

((16 × 15) / 15) - ((8) / 15) =

((240) / 15) - ((8) / 15) =

(240 - 8) / 15 =

232 / 15 =

15 7/15

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