the length of a rectangular sign is 4 times it's width. if the sign's perimeter is 30 inches, what is the area?

Answers

Answer 1

Answer:

36

Step-by-step explanation:

Width = x

Length = 4x

Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)

30 (because 30 is given as the perimeter) = x + x + 4x + 4x

30 = 10x

x = 3

Width = 3

Length = 4(3) = 12

Area = Width * Length

Area = 3 * 12 = 36

Answer 2

The area of the rectangular sign is equal to 36 square inches, if its perimeter is 30 inches.

Let the length of the rectangular sign be L.Let the width of the rectangular sign be W.

Given the following data:

Perimeter of rectangular sign = 30 inches.

Translating the word problem into an algebraic equation, we have;

[tex]L = 4W[/tex]

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L+W)\\\\30 = 2(4W + W)\\\\30 = 2(5W)\\\\30 = 10W\\\\W = \frac{30}{10}[/tex]

Width, W = 3 inches

For its length:

[tex]L = 4W\\\\L = 4(3)[/tex]

Length, L = 12 inches.

Now, we can determine the area of the rectangular sign by using the formula:

[tex]Area = LW\\\\Area = 12(3)[/tex]

Area = 36 square inches.

Therefore, the area of the rectangular sign is equal to 36 square inches.

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Related Questions

I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER

Answers

Answer:

5.7 m/s

Step-by-step explanation:

Approximate rate of change:

(25.1 - 2.3)/(4 - 0) =22.8/4 = 5.7 m/s

What is the product of -5/8 and -6/7

Answers

Answer:

-1 27/56

Step-by-step explanation:

Using the given fractions,

−58+−67

Applying the fractions formula for addition,

=(−5×7)+(−6×8)8×7

=−35+−4856

=−8356

Simplifying -83/56, the answer is

=−12756

the answer is 15/28. i checked on the calculator

need ASAP!!
Order the events in the correct order from 1 being the LEAST likely to occur to 4 being the
MOST likely to occur.
flipping a fair coin and having the
coin land with the tails side facing
up
spinning a spinner with 8 equal
sections numbered 1 to 8 and
landing on a number greater than 1
spinning a spinner with 10 equal
sections numbered 1 to 10 and
landing on 5
rolling a 0 on a number cube
with sides numbered from
1 to 6

Answers

Answer:

starting from top to bottom

2

1

3

4

Step-by-step explanation:

In that order

A cell phone company charges $40 per month plus a $35 activation fee.
Write a function, f(x), for the total cost for x, months.
a.
b.
Which portion of your function represents the one time fee?
C.
Which portion of the function represents the monthly cost?
d.
What does f(x) represents?

Answers

Answer:

a. y = 40x + 35

b. 35 represents the one time fee

c. The 40x represents the monthly fee

d. f(x) represents the amount you have paid after an amount of months

Step-by-step explanation:

Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:

Answers

Answer:

−2.8 or - 2 8/10

Step-by-step explanation:

hope that helps

The sum of two numbers is 32. The larger is 3 less than 6 times the smaller. What is the larger number?

Answers

Answer:

23

Step-by-step explanation:

32=3x-4+x

32=4x-4

+4       +4

36=4x

/4   /4

9=x

Larger #= 3x-4

Larger #= 3(9)-4

Larger #= 27-4

larger #= 23

I just need help with this please.

Answers

Answer:

-5/2 is located on the left of -1

Step-by-step explanation:

if Jazzy sells her old bike for $104 and some toys for 68 she uses the money for four month karate lessons the cost of lessons is the same each month which strip diagram shows how to find Jazzy's cost for one month of karate lessons.lend a hand please also this is 4th grade

Answers

Answer:

C

Step-by-step explanation:

She sells her bike for 104 dollars

She sells toys        for  68 dollars

Total                             172

The question is a bit ambiguous. There are 4 divisions. So I would assume that you need to divide 172 by 4. If you do that you get 43

I think that what they are getting at is the answer is C. There are 4 months shown. And 1 month would be 43 dollars. She has enough for 3 more months.


Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2

Answers

Step-by-step explanation:

b(a + c)

=-4(-3+2)

=12-8

=4

Answer:4

Step-by-step explanation:

Steps a (-3) add c (2) is -1

Then you have to times -1 by -4 which is 4 :D

How many parts 3 percent milk and 40 percent cream would be needed to make 500 pounds of 5 percent milk

Answers

Answer:

ok i have this same question so what you are going to take the 3 and just maove it to the side and then you fail

Step-by-step explanation:

A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation was $5000. How many of these homes have a value greater than $83,500.

Round to a whole number.
I got 62 it says that is wrong answer.

Answers

Answer:

400

Step-by-step explanation:

it says average which probably means 400

33.36% of these homes have a value greater than $83,500.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x \ is\ raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = $82000, σ = $5000.

For x > 83500:

[tex]z=\frac{83500-82000}{5000} =0.43[/tex]

From the normal distribution table, P(x > 83500) = P(z > 0.43) = 1 - P(z < 0.43) = 1 - 0.6664 = 33.36%

33.36% of these homes have a value greater than $83,500.

Find out more at: https://brainly.com/question/15016913

HELPP PLEASE WILL GIVE BRAINLIEST‼️‼️

Answers

I think that the correct answer is D

The correct answer is d

can someone please answer this for me
z=5x-11y

Answers

See the attached photo for answer
if you are doing standard form which is in algebra 1 which is Ax+By=C you would start off with either one you like i like to start off with the X term so you would just take out the -11y and your first problem would be z=5x then you subtract the 5 on both sides which will get you and for the left side you would get -5x+z=-11y then you add the -11y to its self and to z i believe but that’s all i can remember sorry if it’s wrong

The temperature of a cup of coffee changed by -54 Fahrenheit over 22 and 1/2 minutes. What was the change in temperature each minute?

Answers

Answer:

-2 2/5 F per minute

Step-by-step explanation:

Temperature change:

- 54 F over 22 1/2 min

Change in 1 minute:

-54 / 22 1/2 = -54 / (45/2) =-54*2 / 45 =-108 / 45 =-2 18 / 45 =-2 2/5 F/min

how many solutions are there 14x + 6 = 2(5 + 7x) - 4

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

14x + 6 = 2(5+7x)-4

14x + 6 = 10 + 14x - 4

14x + 6 = 14x + 6

infinitely many solutions because both sides of the equation are equal

A construction company can remove 3/4 tons of dirt from a construction site each hour. how long will it take them to remove 36 tons of dirt from the site? (Answer needs to be in simplest form)

Answers

Answer:

48hours

Step-by-step explanation:

36÷(3/4)

36*(4/3)

144/3

48

A line with greater slope is steeper than a line with a smaller slope true or false ?

Answers

Answer:

True

Step-by-step explanation:

Answer: True.

Step-by-step explanation: Because the greater the slope, the steeper the line.

Given: a mod 7 = 5 and b mod 7 = 6 Find (a + b)mod 7. Do not use specific numbers for a and b. Consider a, b as generic particulars. Show steps but you do not need to provide reasons.(7 points)

Answers

Answer:

wouldn't it be 77

Step-by-step explanation:

If 7 = 5 is a and 7 = 6 is b and you add them you will get 11 then multiply it by 7 which would give you 77

or If you add 7 + 7 = 14 multiply 11

Or the answer is 154

factorize 20m2²-80mn²​

Answers

Answer:

40m - 160m = 120m

Step-by-step explanation:

(2)

A bag contains red and blue cards. The probability of drawing a red card is 2/5
What is the probability of drawing a blue card?​

Answers

Answer:

3/5 is the probability of drawing a blue card

Answer:

3/5

Step-by-step explanation:

total sum of probability is 1.

for the probability of drawing a red ball to be 2/5, then probability of drawing a blue ball is

1 - 2/5


Jimmy is trying to save money to buy a new IPhone. If the amount of money in his account after x weeks is
represented by the function(x) = 15x + 88. Explain the meaning of each part of the function in the context of the
problem.

Answers

Answer:

(x) = 15x + 88.

(x)= is the number of weeks

15x= the amount of money per x weeks

88= the amount of money after x weeks.

I am not totally sure my answer is correct though.

Step-by-step explanation:

Which inequality is represented by this graph?

Answers

Answer:

x>0

Step-by-step explanation:

what is the function of this graph?

Answers

Answer:

-2 X3

Step-by-step explanation:

Jeisejsoshsisjnakakaajhsixndkdjsjdhjdjdjdhsjshehhss

Pls help I’ve been stuck on this for a while.

Answers

Answer:

The answer to this question your asking is b

75 = 17 ÷2×93871788=?
?÷748267818=?
?+7376818938÷7477818199×89=?​

Answers

Answer:

YOUR MOM

Step-by-step explanation:

LOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLO)LOLOLOLOLLOllll

50 POINTS!!!


Please I need fast and correct answer. I will award best answer with brainliest!!!

Answers

Answer:

[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]

Step-by-step explanation:

vertical angle theorem states that the angle vertical from another angle has to be congruent

p.s. i found it

What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4

Answers

Answer:

The answer should be y=2x+5

7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements

Answers

Answer:

w=14

Step-by-step explanation:

-8(w + 1) = -5(w + 10)

Remove the parentheses

-8w-8+-5w-50

Move terms

-8w+5w=-50+8

Collect like terms and calculate

-3w=-42

Then divide on both sides

Need help asap! Complete the table below.

Answers

Answer:

Step-by-step explanation:

if the speed is 6 bracelets per hour then the table will go like this

2   12

5  30

7  42

11  66

16 and 2/3  hours is 100 bracelets

12345678912345678991-12345678912345678912

Answers

The answer is 0 lol
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