The width of a rectangle is 15 inches less than three times it’s length. If the perimeter is 26 inches , what is the area of the rectangle

Answers

Answer 1

Length can be expressed as 2L + 2w = 26 since we know the total perimeter is 26 inches. Width can expressed as w = 3L - 15, since we know that it is 15 inches less than 3x the length. Then substitute the width into the length formula.

2L + 2w = 26

2L + 2(3L - 15) = 26

2L + 6L - 30 = 26

8L = 56

L = 56/8

L = 7  inches

Substitute 7 into the width formula to find width:

w = 3L - 15

w = 3 x 7 - 15

w = 6 inches

Finally use the area formula:

A = L x W

A = 7 x 6

A = 42 [tex]inches^{2}[/tex]


Related Questions

The distance Train A travels is represented by d = 69t, where d is the distance in kilometers and t is the time in hours. The distance Train B travels at various times is shown in the table. What is the unit rate of each train? Which train is going faster?

Answers

If d is distance measured in km and t is time measured in hours, then d = 69t tells you that train A is moving at a rate of 69 km/h.

Why? If t = 1, then d is the distance it moves in 1 hour, and that's precisely the unit rate. It's the rate at which the distance changes when 1 unit of time passes.

For train B, use the info in the given table. In 1 hour (between hours 4 and 5), the train covers a distance of 375 km - 300 km = 75 km. So it's moving at a rate of 75 km/h.

It should be clear which train is faster.

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[tex]d(A) = 69t[/tex]

[tex]d(B) = 75t[/tex]

The unit rate is the coefficient of t which is the slope of the line because the trains distance traveled equation are linear.

Thus :

Train A's unit rate is 69 km per hour.

And

Train B's unit rate is 75 km per hour.

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Train B is going faster because its unit rate is greater than Train A's unit rate .

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The Pythagorean theorem is used to find the measurement of an angle.
True
False

Answers

Answer: False

You are welcome!

what is the answer to this equation?? (-3)^2=( )( )=

Answers

Answer: 9

I did (-3)^2= cause I'm not sure if you meant to put ( ) ( ) in it. If you did well, sorry. I got (-3)^2=9.

What is the value of x?

Enter your answer in the box.

x = ____

Answers

Answer:

X=32

Step-by-step explanation:

since it is equilateral, all the angles are the same so they equal 60 , because those are the only possible angle measurements that an equilateral triangle can have.

we know that all the angles are equal to 60 so we set up an equation

2x-4=60

2x=64

x=64/2

x=32

How to do this problem? Please explain this in steps if possible. Thanks!

Answers

Answer: 10

Step-by-step explanation:

If two triangles are congruent, then they will have the exact same sides and angle measures.

AB=3x+1

BC=6

DE=2x

Solve for X by making 2x=6 because DE and BC are corresponding sides, indicating they are equal.

x=3, plug that in

AB=10

Can you guys please help me out

Answers

Answer:

18

Step-by-step explanation:

xy = x times y

in our case, it is 6 times 3

so 18

Answer: 18
Explanation: the answer is 18

How many solutions exist for the given equation?

12(x - 5) = 16 (x - 5)



One

two

zero

Infinitely many

Answers

The answer is two solutions are given for the equation
There are two solutions with that given equation

2.9 months to 4.9 months​

Answers

Answer:

2 months difference

Step-by-step explanation:

4.9-2.9=2

The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 3. Find the probability that exactly four road construction projects are currently taking place in this city.

Answers

Answer:

The probability that exactly four road construction projects are currently taking place in this city is 0.168.

Step-by-step explanation:

Let X denote the number of road construction projects that take place at any one time in a certain city.

It is provided that X follows a Poisson distribution with parameter λ = 3.

Then the probability mass function of X is:

[tex]p_{X}(x)=\frac{e^{-\lambda}\cdot \lambda^{x}}{x!};x=0,1,2,3...[/tex]

Compute the probability that exactly four road construction projects are currently taking place in this city as follows:

[tex]P(X=4)=\frac{e^{-3}\cdot 3^{4}}{4!}[/tex]

                [tex]=\frac{0.04979\times 81}{24}\\\\=0.16804125\\\\\approx 0.168[/tex]

Thus, the probability that exactly four road construction projects are currently taking place in this city is 0.168.

Using the Poisson distribution, it is found that there is a 0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

We have only the mean for the discrete distribution, hence, the Poisson distribution is used.

Poisson distribution In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is of 3, hence [tex]\mu = 3[/tex].

The probability that exactly four road construction projects are currently taking place in this city is P(X = 4), hence:

[tex]P(X = 4) = \frac{e^{-3}3^{4}}{(4)!} = 0.1954[/tex]

0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

You can learn more about the Poisson distribution at https://brainly.com/question/13971530

PLSSS I GIVE 60 POINTSSS

Answers

both questions ???????

You don’t have to explain just give me the answers for these few questions please asap

Answers

Answer:

lol do u r own work this is for help no the answers

Step-by-step explanation:

Answer:

same thing you did to me bud

Answer: wheidofnnndbxkdiwijsng Step-by-step explanation: Sorry I needed points

The amount of force needed to keep a 0.5 kg baseball moving at a constant speed of 4 m/s on frictionless ice is

Answers

Answer: 0 N

Step-by-step explanation:

jeatofine anwser me 48 divided by2 (9+3) =

Answers

Answer:

2

Step-by-step explanation:

48/2(9+3)

=48/2(12)

=48/24

=2

hope this helps

plz mark as brainliest

Answer:

The answer is 2 Have a blessed and safe day

Quarter 1 Benchmark / 3 of 25
The diagram below is a scale drawing of a store, with the scale 1 in. = 16 feet.
4 inches
inches
3 inches
K2 inches -
What is the approximate area of the store in square feet?
O A 2.200
O B. 2,500
OC. 2,300
OD. 2,400
you’ve have by the end of today (12am)

Answers

Answer:

B. 2,500

Step-by-step explanation:

The diagram of the area of the store has been divided A and B as shown in the attachment below.

Dimensions of A:

(*Note: scale = 1 in to 16 ft)

Length = 4 inches

Actual length = 4*16 = 64 ft

Width = 1¾ inches

Actual width = 1¾*16 = 28 ft

Area of A = length * width = 64*28 = 1,792 ft²

Dimensions of B:

(*Note: scale = 1 in to 16 ft)

Length = 2¼ inches

Actual length = 2¼*16 = 36 ft

Width = 3 inches - 1¾ inches = 1¼ inches

Actual width = 1¼*16 = 20 ft

Area of A = length * width = 36*20 = 720 ft²

Area of the store = area of A and area of B = 1,792 + 720 = 2,512 ft²

Approximately, the are is 2,500 ft²

NEED HELP ON THIS QUESTION VERY EASY

Answers

Answer: B.

Step-by-step explanation: I UNDERSTAND HOW FRUSTRATING IT IS TO PUT AN ANSWER AND NO ONE ANSWERS IT, I DO, SO ALL I ASK IS FOR YOU TO GIVE ME BRAINLIEST. THANK YOU.

Answer:

b ive never had a brainliest ever in my life so can i have one

Step-by-step explanation:

pls GIVE ME BRAINLIEST  not trynna demand

Please help! Find what the value of y is for each one. The value for x is given already. (Picture included)

Worth 30 points! :)

Answers

Ok. My answer I came up with is:

y=2-3x

Thanks

Seven more than a number is less than or equal to -18

Answers

Answer:

7+x<=-18

subtract 7 from both sides

x<=-25

Step-by-step explanation:

The equation is 7+x<=-18 and the value of x = -25.

Given that,

Seven more than a number is less than or equal to -18

Based on the above information, the calculation is as follows:

7+x<=-18

x = -25

Learn more: https://brainly.com/question/12522729?referrer=searchResults

enter the measure of

Answers

Answer: I believe the answer is 45°

Step-by-step explanation: Hope it helps :)

Answer:

Step-by-step explanation:

sin M=8/22

[tex]\angle ~M=sin ^{-1}(\frac{8}{22}) \approx~21.32^\circ[/tex]

Justin’s mom just had a baby that weigh 8 pounds. Justin insisted that the baby weighed 128 ounces. Is Justin correct or incorrect? Justify your answer.
PPPPPLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSEEEEEEEEEEEEEEEEE HELP ASAP PPPPLLLLLLEEEEEEEEEEEEEEEEEEEEEEEEEEEESSSSSWEEEEEEEEeeeeeeEEEE

Answers

Answer:

Yes, Justin is correct.

Step-by-step explanation:

1 pound equals 16 ounces, so if you multiply 16×8, it equals 128 ounces.

Answer:

read explanation

Step-by-step explanation:

convert pounds to ounces

using the measurement system, for every 16 ounces there is 1 pound

the baby weighs 8 pounds and justin says its equal to 128 ounces.

128 divided by 16 is indeed 8 so therefore justin is right, mom

geesh listen to your kids more

write an integer for the situation.
Ascend 50 feet

Answers

Answer:

50 ft

Step-by-step explanation:

An integer is a whole number.

If you're Ascending that means to go up( or to increase in height. This means that the number would be positive. The 50 feet would give us our number, so our answer is (+) 50 ft.

If 23 is a subtract from a number, the result is -8. Find the numbers

Answers

Answer:

15

Step-by-step explanation:

Step 1:

x - 23 = - 8        Equation

Step 2:

x = - 8 + 23       Add 23 on both sides

Answer:

x = 15

Hope This Helps :)

Which points are solutions to the equation y=3x+5?
(2,11)
(7,16)
(−7,−16)
(−2,1)
(−3,−1)

Answers

The answer is
(2,11)
(-2,1)
And I’m pretty sure it’s also (7,16)

Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy? HELP

Answers

Answer:

7 shirts 8 pairs of pants

Step-by-step explanation:

:(

:)

Answer:

8 pants, and 7 shirts

Step-by-step explanation:

because there are only two factors in here, you can just subtract:

15-7=8

can i get brainliest please?

Please put this in your own words Thank you and happy Halloween

Answers

Answer:

Please read explanation :)

Step-by-step explanation:

You can find the constant of proportionality of the ratio of the price to the number of bouquets from the table by dividing them. For example, it you divide 9 by 3 or 18 by 6, you get 3. Therefore, you know that every bouquet is 3 dollars. :) Hope this helps

(But please don't copy, that would be plagiarizing. Maybe you can put this in your own words? Thx <3)

Write an equation of the line with the given slope, m, and y-intercept (0,b).
m= 3, b=7

Answers

Answer:

The equation would be y=3x+7. Please mark as helpful if it helps, thanks!

y=mx+b so you substitute your values and get y=3x+7

what is an equation in point-slope form of the line that passes through the point (4,-1) and has a slope of 6

Answers

Answer:

y = 6x + (-1) or y = 6x - 1

Step-by-step explanation:

y = mx + b

M = Slope = 6

B = y-intercept = -1

Is there a calculator for long-division that'll show you how the problem is done (ie breaking it down) instead of just answering?

Answers

Answer:

A website that sometimes shows breaking down long division is m a t h w a y  

Step-by-step explanation:

What is the value of 2^0 in standard form

Answers

Answer:

1

Step-by-step explanation:

Anything raised to 0 is 1.

Which describes the correlation shown in the scatterplot?

Answers

Answer:

There is no positive or negative correlation

Step-by-step explanation:

the x-values are increasing but the y-values are staying the same so if you drew a line through correlation... the slope would be around 0

Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.List te different ways the guests and tables could arranged. Tell how many tales are needed for each group of guests. guests at each table.Each table should have more than one guest.List different ways the guests and tables

Answers

Answer:9 tables with 5 people at each one

Step-by-step explanation:

Using the factorization that defines the arrangement, there can be 9 tables for 45 guests with 5 guests per table. "A large number is factorised, which is the process of breaking it down into smaller numbers that, when multiplied together, produce the original number. A number is factorised when it is divided into its factors or divisors."

What is factorization?

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics. The Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF) are the four main methods of factoring. Divide a number by the smallest prime number (larger than 1) that divides it evenly and leaves no remainder to find its factors quickly. As you receive more numbers, repeat this procedure until you reach 1.

Here,

Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.

when we factorize 45,

1x45

3x15

5x9

We can arrange in the order of 5 guest on each table and their can be 9 tables for 45 guests using the factorization that defines "Factorization is the process of dividing a large number into smaller ones that, when multiplied together, yield the original number. Factorization is the division of a number into its factors or divisors."

To know more about factorization,

https://brainly.com/question/14452738?referrer=searchResults

#SPJ2

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