the length of a rectangular sing is 5 time its width. if the sign perimeter is 24 inches. what is the sign area ?

Answers

Answer 1

Answer:

20 in²

Step-by-step explanation:

Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so

b = x inches

l = 5x inches

Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as

Perimeter = 2(l + b), substituting this, we have

24 = 2(5x + x)

24 = 10x + 2x

24 = 12x

x = 24 / 12

x = 2 inches.

Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.

l = 5 * 2

l = 10 inches.

Then, we are asked to find the area of the sign. Area of a rectangle is given as

A = l * b, so if we substitute, we have

Area = 10 * 2

Area = 20 square inches


Related Questions

Jason says the quotient 517 ÷ 5 is 103 r 2. Use multiplication to show if Jason's answer is correct.

Answers

Answer: No Jason is not orrect the anwser is 103.4 x 5= 517

Step-by-step explanation:

ok so first you have to multiply 103.2 times 5 but that gives you 516 so the correct anwser is 103.4 x 5 = 517

A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?

Answers

Answer:

200 pounds per crate

Step-by-step explanation:

because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate

Answer:

250

2000 divided by 8

Step-by-step explanation:

Hannah is working two summer jobs, making $18 per hour lifeguarding and $9 per hour clearing tables. Last week Hannah worked twice as many hours clearing tables as she worked hours lifeguarding hours and earned a total of $144. Graphically solve a system of equations in order to determine the number of hours Hannah worked lifeguarding last week, x,x, and the number of hours Hannah worked clearing tables last week, yy.

Answers

Step-by-step explanation:

18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help

Please help, solve a and b

Answers

Answer:

AE and BD use the same lines for both triangles so the angles for C are the same. this means that all the angles are congruent between both triangles.

Step-by-step explanation:

Answer:

The distance across the river d=175ft

Step-by-step explanation:

As◇ ABC& ◇ EDC are similar, BC/CD=AB/ DE

4x/7x=100/d

d=100×7/4=175

Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?

Answers

Answer:

[tex]\$160[/tex]

Step-by-step explanation:

To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.

Area of rectangular lawn = [tex]lw[/tex] (formula for the area of a rectangle)

[tex]364=14l[/tex]

[tex]l=26[/tex] feet

Now that we have the lawn's length and width, we can calculate the perimeter:

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(26)+2(14)[/tex]

[tex]=80[/tex] feet

Since each foot of lawn costs $2, then the cost of the entire fence will be:

[tex]80\times2 = \$160[/tex]

∴ The entire fence costs [tex]\$160[/tex].

Hope this helps :)

The following is an example of what type of sequence? 3, 11, 19, 27, 35...

A: Geometric
B: Ratio
C: Ratio
D: Difference ​

Answers

Answer:

You have a series that increases by 8 Therefore it Ar^n-1So its a geomtric sequence

write an expression to represent f(20)

Answers

Answer:

Tommy has f amount of marbles. His wife has 20 times Tommy's amount.

Step-by-step explanation:

f×20

the answer would be fx20

Which set of numbers represents the RANGE for the following table
x -3 4 6 -12

y 5 -6 2 0

A

{−6,0,2,5}


B

{4, 5, 6, 12}


C

{−3,4,6,12}


D

{0, 5, 6, 2}

Answers

Answer:

The range of the table is:

Range R = {-6, 0, 2, 5}

Hence, option A is true.

Step-by-step explanation:

Given the table

x        -3   4    6    -12

y         5   -6   2     0

Determining the range:

We know that the range of a table consists of all the y-values of the given points.

From the given table, it is clear that the y-values are:

y = 5, -6, 2, 0

Thus, the range of the relation in ascending order is:

Range R = {-6, 0, 2, 5}

Please note that the duplicated elements in the range, if any, are written only once.

Therefore, the range of the table is:

Range R = {-6, 0, 2, 5}

Hence, option A is true.

What is the equation of the following line? Be sure to scroll down first to see all the options

Answers

Answer:

A. y=5x

Step-by-step explanation:

4x – 4y = -16
please help find the y value

Answers

Answer: y=x+4

Step-by-step explanation:

if you need to find the y

we divide the equation by 4

x-y=-4

add y on both sides

y=x+4

if angle 1 and angle 2 are vertical, and angle 2 and angle 3 are complentary, angle 3= 56^, what is angle 1

Answers

I think it’s 34 because if angle 3 is 56, then angle 2 is 34 because they are complementary and angle 1 is 34 because it’s a vertical angle w/ angle 2

which impression is equivalent to - 3/4 / -(
8 / 12)​

Answers

I’m not sure if you can

A rectangular prism is made up of 36 unit cubes and is 3 unit cubes high choose two possible combinations of width and length for the prism

A) 2 cubes wide and 6 cubes long
B) 3 cubes wide and 12 cubes long
C) 4 cubes wide and 3 cubes long
D) 5 cubes wide and 7 cubes long
E) 6 cubes wide and 6 cubes long

Answers

I think (i said think) the answer is E

Write an equation of the line in slope-intercept form. (-2, 4) (0 -1)

Answers

Answer:

y=-5/2x+1

Step-by-step explanation:

-1-4 ( -5 )

0- (-2 ) = 0+2 ( 2 )

-5/2

y=-5/2x+b

4=-5/2( -2 ) +b

4= 5+b

Subtract 4 from 5 ( 1 )

b=1

y=-5/2x+1

Hope this helped, Have a Great Day!!

The equation of the line passing from the given points is y = -5x/2-1

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a line is passing through two points (-2, 4) and (0 -1)

We know that, the equation of a line passing through two points is given by,

y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)

Therefore,

y-4 = (-1-4)/(0+2)(x+2)

y-4 = -5/2(x+2)

y = -5x/2-5+4

y = -5x/2-1

Hence, The equation of the line passing from the given points is y = -5x/2-1

For more references on equations, click;

https://brainly.com/question/29657992

#SPJ2

I need help please I have to finish this

Answers

Answer:

x = 80 degrees

y = 25 degrees

Step-by-step explanation:

First find angle BCA.

We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.

Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.

50+50+ x = 180 degrees

x= 180 - 100 = 80 degrees

Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.

So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.

please give thanks by clicking the heart button :)

question in the image

Answers

Answer:

thats not a question

Step-by-step explanation:

That’s not a question

HeEeEEeLpPpp <<3<3<3<3

Answers

Answer:

h = 13

Step-by-step explanation:

20 - 7 = 13

The ratio of apples to oranges on the shelf is 6:5. If there are 220 pieces of fruit on the shelf, how many of each kind are there?

Answers

Answer:

120 apples and 100 oranges

Step-by-step explanation:

6/11 x 220 = 120 apples

5/11 x 220 = 100 oranges

15r-15s=
can you help

Answers

Answer:

i dlnt know 15 I think not sure

Answer: 0 i guess i dont know

Step-by-step explanation:

William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?

Answers

Answer:

he earned $29,135.04

Step-by-step explanation:

to get answer you multiply total sales by .03

The answer is $29,135.04

Write the first three terms in the sequence given by the formula an = 8n + 4

Answers

Answer:

[tex]a_{1}[/tex] = 12

[tex]a_{2}[/tex] = 20

[tex]a_{3}[/tex] = 28

Step-by-step explanation:

In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.

[tex]a_{1}[/tex] = 8 x 1 + 4

[tex]a_{1}[/tex] = 8 + 4

[tex]a_{1}[/tex] = 12

Then.......

[tex]a_{2}[/tex] = 8 x 2 + 4

[tex]a_{2}[/tex] = 16 + 4

[tex]a_{3}[/tex] = 20

And finally .......

[tex]a_{3}[/tex] = 8 x 3 + 4

[tex]a_{3}[/tex] = 24 + 4

[tex]a_{3}[/tex] = 28

Complete the equation by rewriting 2 12/20

Answers

Answer:

52/20

Step-by-step explanation:

Common sense and simple math

Answer:

52/20




Hope this helps

X + 7/8 = 23/8

Please help

Answers

Answer:

x=2

Hope I helped

Answer:

X=2

Step-by-step explanation:

Please mark brainliest.

6. To solve 3 3/4 + r = 5 3/8, use the
property of equality.
A) addition
B) subtraction
C) multiplication
division
HELP it’s number 6. problem

Answers

Answer:

B

Step-by-step explanation:

3 3/4 +r _3 3/4= 5 3/8_3 3/4

Which of the following statements are true? Select all that apply.
HELP PLEASE!

Answers

C is not correct I took the test

Solve by elimination. 4x+6y=-12 2x+3y=4

Answers

Answer:

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

solving the system by the elimination method

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]

[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]

subtracting the equations

[tex]4x+6y=8[/tex]

[tex]-[/tex]

[tex]\underline{4x+6y=-12}[/tex]

[tex]0=20[/tex]

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

PLEASE HELP ME I AM BEING TIMED I WILL GIVE YOU BRAINILIEST!!!!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)

Answers

No. of days taken = 1400/350Ans = 4 days

Answer:

The family will travel at least 4 days.

Step-by-step explanation:

The inequality would look like this:

350d ≤ 1400

it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.

To solve the inequality, use inverse operations.

350d ÷ 350 ≤ 1400 ÷ 350

d ≤ 4

the family will travel at least 4 days.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

2, 4, 3, 6, 5, 10, 9, 16, does anyone know the next 3 numbers and the pattern ??????????????

Answers

Answer:

No

Step-by-step explanation:

The sum of eighteen and eight times a number is ninety.
what is the number?

Answers

Answer:

9

Step-by-step explanation:

9x8=72 72+18=90

9 is your answer because 8 x 9 = 72 + 18 = 90

utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?

Answers

Answer:

The answers to the questions are well numbered below.

Step-by-step explanation:

We have arrival rate

λ = 7 in every 10 minutes = 0.7

Service time u = 7 minutes

1. Average time a car is in system

W = 1/u - λ

= 1/7-0.7

= 0.1587

= 0.16 to 2 decimal places

2. Average number of cars in system

= λ/u-λ

= 0.7/7-0.7

= 0.1111

= 0.11 to 2 decimal places

3. Average time that cars spend to receive service

= λ/u(u-λ)

= 0.7/7(7-0.7)

= 0.01587

= 0.016 to 2 decimal places

4. Average number of cars in line behind customer receiving service

= λ²/u(u-λ)

= 0.7²/7(7-0.7)

= 0.49/44.1

= 0.011 to 2 decimal places

5. Probability no cats at window

1-λ/u

= 1-0.7/7

= 0.9 = 9%

6. Percentage of time postal clerk is busy

= λ/u = 0.7/7 = 0.1 = 10%

7. Probability of exactly 2 cars

= λ²e^-λ/2!

= 0.7²e^-0.7/2!

= 0.1217

= 12.17%

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