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

Four less than twice a number is fifty

Answers

Answer:

28

Step-by-step explanation:

50+4= 54

54/2=28

Answer:

2a - 4 = 50

Step-by-step explanation:

Less than means that you subtract 4.

Twice a number just means that you multiply a number by 2.

And we know that all of that equals 50.

If you want to solve it..

2a - 4 = 50

    +4     +4

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

2a = 54

Divide both sides by 2. 54/2 = 27

a = 27

Find the z-score separating the lowest 9% of scores from the highest score of 91%

Answers

Answer:

I'm not sure of my answer but try this:

a corn vendor at a farmers market was selling a bag of 8 ears of corn for $2.56 anithert vendor was selling a bad of 12 for 4.32. which bag is the better deal?

Answers

you have to find out how much money each bag would be.
2.56/8 = 0.32
4.32/12 = 0.36
8 ears of corn is thebetter deal

The difference of three times a number and two is twelve more than the number. Find the number. pls help

Answers

I may be wrong but I got x³- 2 + 12.

It takes a motorboat twice as much to cover the distance going upstream as it takes it to cover the same distance going downstream. Write the ratio of the speed of the boat in still water to the speed of the current. PLS HELLLPPPP THIS IS DUE IN 3 MINS!!!!!!

Answers

Answer: Sorry for being late. Hope u passed!

Which two numbers below have a least common multiple of 48?

Answers

Answer:

its 3 and 16 just trust me

The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The two numbers below have a least common multiple of 48 are,

3 and 16 ⇒ 3×16=48

Hence, the two numbers below have a least common multiple of 48 is 3 and 16.

Learn more about LCM:

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Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?
64
80
100
180
I NEED HELP ON SOME MORE PROBLEMS ANYONE WILLING TO HELP???

Answers

Answer:

80

Step-by-step explanation:

Answer:

B (also known as 30)

Step-by-step explanation:

hope this helps!

Valery and Manuel ride their bikes 40 miles every Saturday. Valery rides at an Average speed of 9.6 miles per hour (mph)

exactly how many hours does it take Valery to ride her bike 40 miles?​

Answers

Answer:Around 10 hours

Step-by-step explanation:

Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly two will end up being replaced under warranty?

Answers

Answer:

The required probability is 0.09875

Step-by-step explanation:

From the given information;

the probability of repairing the telephones = 0.70

the probability of the replaced = 0.30

Suppose we consider  Mto denotes the telephone that is submitted for service while under warranty and must be replaced.

Then;

p = P(S) = P(replaced | submitted) P(submitted)

= 0.30 × 0.20

= 0.06

Now, the probability that exactly two will end up being replaced under warranty given that it assumes  a binomial distribution where n = 10 and p = 0.06

[tex]P(X=2)=\bigg (^{10}_{2}\bigg) 0.06^2(1-0.06)^{10-2}[/tex]

[tex]P(X=2)=\dfrac{10!}{2!(10-2)!}\times 0.06^2\times (0.94)^{8}[/tex]

[tex]\mathbf{P(X=2)=0.09875}[/tex]

Find the indicated probability by using the complementation rule. A percentage distribution is given below for the size of families in one U.S. city. Size Percentage 2 39.9 3 24.4 4 20.1 5 10.8 6 3.3 7 1.5 A family is selected at random. Find the probability that the size of the family is 4 or more. Round results to three decimal places.
a. 0.156
b. 0.844
c. 0.357
d. 0.201

Answers

Answer:

The correct option is c.

Step-by-step explanation:

The percentage probability distribution is:

Size (X)      Percentage

 2                   39.9

 3                   24.4

 4                   20.1

 5                   10.8

 6                    3.3

 7                     1.5

Total             100.0

Compute the probability that the size of the family is 4 or more as follows:

P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)

              = 0.201 + 0.108 + 0.033 + 0.015

              = 0.357

Thus, the probability that the size of the family is 4 or more is 0.357.

The correct option is c.

Which equation is quadratic in form?
2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0

Answers

Answer:

I think it's the first one... but I'm not pretty sure.

Answer:

C

Step-by-step explanation:

edge 2020

Solve for x.
Enter the number that belongs in the green box

Answers

Answer:

x = 45

Step-by-step explanation:

Because these are two congruent triangles inside of each other we can set up an equivalency ratio.

25/35 = x/65

Multiply both sides by 65 to get x alone

65 * 25/35 = x/65 * 65

(65 * 25)/35 = x1

1576/35 = x

x = 45

Hope this helps,

what is 2+2 my brain has been in circles about this

Answers

Answer:

hey  welcome to Brainly, and 2 + 2 = 4

Step-by-step explanation:

2+2=4

3+3=6

4+4=8

5+5=10

and so on just keep adding 2

How many distinct ways are there to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row? Give your
answer as an integer.
Provide your answer below:

Answers

Answer:

144

Step-by-step explanation:

3x2x2

the sum is 12, and after that you do 12^2

the final answer is 144

The number of distinct ways to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row will be 144.

What is a permutation?

A permutation is an act of arranging items or elements in the correct order.

There are 2 orange marbles, 2 clear marbles, and 3 yellow marbles.

Then the number of distinct ways to arrange 2 orange marbles, 2 clear marbles, and 3 yellow marbles in a row will be

⇒ (3 x 2 x 2)²

⇒ 12²

⇒ 144

More about the permutation link is given below.

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What is the answer here

Answers

Answer is B. 6a/b^7

If correct make brainliest?

7n + 5 =68.... how to solve this problem and show my work​

Answers

Answer:

n=9

Step-by-step explanation:

7n+5=68  Subtract 5 on both sides.

    -5  -5

7n=63       Divide both sides by 7.

/7   /7

n=9

Hope this helps! Have a nice day ^^

Answer:

n = 9

Step-by-step explanation:

1) Move similar terms to one side. Here we are moving the 5 over to the side with 68 by subtracting it. We also have to subtract 5 from the other side too (what you do to one side you must do to the other)

7n + 5 = 68

     - 5   -5

      7n = 63

2) Isolate the variable. We do this by dividing the 7 from 7n. We also have to divide 7 from other other side too.

     7n = 63

     /7    /7

       n =9

A goat is tied to the corner of a rectangular shed in a large field full of grass. The rope is 2 yards long and a plane view (from above) of the shed and field is shown below. Use this information for Parts A and B below.
Part A: Calculate the area of grass that the goat can eat.
Part B: What length of rope would enable the goat to eat 30 square yards of grass? Show all your reasoning.

Answers

Answer:

9.42 yd²3.57 yd

Step-by-step explanation:

Part A

The area of circle with radius of 2 yd (the length of the rope) is:

A = π*r² = 3.14*2² = 12.56 yd²

Since 1/4 of the circle is occupied by the shed, the area of the grass is:

12.56*3/4 = 9.42 yd²

Part B

Let the area be 30 yd², finding the r as per above formula:

3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd

Please help me:) i will give brainliest to the right answer<3

Answers

Answer:

The answer is does

Step-by-step explanation:

Answer: I believe it's "does not."

Step-by-step explanation:

But I'm sorry if I'm wrong!!

What is the the value of x?
x/2
= 5

Answers

Answer:

10

Step-by-step explanation:

x/2 =5

2 x x/2 = 2 x 5

2x5 = 10

Please help me it’s very important please answer it correctly
Thank you

Answers

Answer:

a. m<CBA = m<DBA because of the definition of an angle bisector (angle bisector cuts the angle in half) We are also told that segment BD and Segment BC are congruent.

We don't know if segment AC and AD are congruent so we can't say those angles (the other two) are congruent.

b. point A and B will stay fixed because they are colinear to segment AB (on the same line)

c. Those two are needed because If those are true we can prove that they are congruent by SAS (Side Angle Side)

d. the reflection an prove that the lines and angles are congruent.


Given: m || n. What ism

Answers

85 degrees
Those are Corresponding angles And when the parallel lines are cut by a transversal. The Corresponding angles are congruent

How to find the value of x

Answers

71°. Both angles are the same because both sides are the same length (21). 180°, the total amount of degrees in a triangle, minus 38. 142 is what you get. Divide that by 2

please help! finding coordinates of a point :)​

Answers

Answer:

Step-by-step explanation:

Follow the numbers.

Please help me fast!!!!!

Answers

Answer:

75

Step-by-step explanation:

If both factors are negative then the product is positive.

Answer: -75

Step-by-step explanation: 15 times 5 equals 75

GIVING BRAINLIEST IF CORRECT PLEASE HELP ASA[P

Answers

Answer:

Step-by-step explanation:

1: Green because it has more sections than the other colors

2: 4/8

Hope this helps!

Answer:

A) green

B) 4/8

brainliest please

Use the expression 6.7s - (10÷2) +15 to answer 9–10. 9. Which part of the expression represents a quotient? Describe its parts. 10. Which part of the expression represents a product of two factors? Describe its parts. 9. The part of the expression that represents a quotient is. (Use the operation symbols in the math palette as needed. Do not simplify.)

Answers

Answer:

9. The part of the equation that represents a quoient is (10÷2)  because inside the parentheses you solve the division equation and a quoitent is the answer to a division equation

10. The part of the expression that represents the product of two factors would be 6.7s because 6.7 is being multiplied by s, and a product is an answer to a multiplication problem

Step-by-step explanation:

9. The part of the equation that represents a quotient is (10÷2). 10.  The part of the equation that represents the product of two elements is 6.7s.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

6.7s - (10÷2) +15

9. The part of the equation that represents a quotient is (10÷2) since the division equation is solved inside the parenthesis and a quotient is the answer to a division problem.

10. Here 6.7 is multiplied by s, the component of the equation that represents the product of two elements is 6.7s, and a product is an answer to a multiplication expression.

Learn more about the algebraic expression here :

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A chef at a restaurant uses 17 pounds of butter each day. About how many grams does the chef use each day?

Answers

answer

7711.07

Step-by-step explanation:

The chef uses 7,711.03 grams each day at a restaurant.

How to convert Pounds to Grams?

The methodology to convert Pounds to Grams is relatively simple. To convert Pounds to Grams, you must multiply the unit by 453.59.

For example, if you have to convert 5 Pounds to Grams, you need to multiply 5 by 453.59.

A chef at a restaurant uses 17 pounds of butter each day.

We have to determine the number of grams the chef uses each day.

Since 1 pound (lb) is equal to 453.59 grams (g).

So 17 pounds = 453.59 × 17 = 7,711.03 grams

Thus, the chef uses 7,711.03 grams each day.

To learn more about the unit conversion click here:

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The length of a rectangle is four times its width. The length is 4 2/3 feet. What is the area of the rectangle?

Answers

Answer:

4.687225

Step-by-step explanation:

If 5 workers take 600 hours to finish a project, how long will it take 10 workers to complete the same project?

Answers

it would take them 300 hours

System of Equations in Three Variables Word Problem

Answers

Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

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