the perimeter of a rectangle is 58. The length is 1 more than 2 1/2 times the width. Find the dimensions of the rectangle

Answers

Answer 1

Answer: The formula of the perimeter of a rectangle is given as

P=2L+2W

where L is the length and W is the width. Substitution of the given values will yield,

58=2L+2W (1)

The next thing that we have to do is to translate the relationship between the two variables, L and W, into a mathematical equation.

So we have

L=2.5W+1 (2)

Now we have two equations, we also have two unknowns, so this problem is solvable. Substitution of equation (2) in (1) yields

58=2(2.5W+1)+2W
58=5w+2+2w
58=7W+2
56=7W
8=W

Substitution of this value to equation (2) yields

L=2.5(8)+1
L=21

So, the dimensions of the rectangle are:, specifically, width is equal to 8 while length is equal to 21.

Related Questions

Help me, please, i"m desperate
What are two addition equations that each have a sum of -21.5?
"I am thinking of a number 3 _ 4 Of my number is 12 Work out 5 times my number. You must show your working "
A chainsaw needs a 50:1 gas:oil ratio, how much oil do you need if you add 3 gallons of gas? no links!! links will be reported
How to write 7x1 + 4x 1/10 + 6x 1/1000 in standard form

A fishery is an area with the specific purpose of controlling fish populationsfor commercial or recreational fishing. Population dynamics describe how a
fish population changs over time. The population is changed by birth, death,
and migration of fish. While the supply of fish (population growth) can be
modeled with a linear equation, so can the demand of fish (the amount caught).
In one commercial venture, fishermen recorded their daily catch in an ocean
fishery. Using their data, the demand model for the total number y of fish caught
for x days is y = 349x + 50. What is the meaning of the slope?

Answers

Using linear function concepts, it is found that the slope of 349 means that each day, the number of fish caught increases by 349.

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation for the number of fish caught after x days is given by:

$y = 349x + 50$

The slope is of 349, which means that each day, the number of fish caught increases by 349.

You can learn more about linear function concepts at brainly.com/question/16302622

Find the GCF of the following literal terms. m^7 n^4 p^3 and mn^12 p^5

Answers

Do you have the 4th problem typed correctly? The two given numbers have no factor (other than 1) in common (i.e., they are relatively prime) so the GCF is 1.

48 = 2^4 * 3

Therefore, GCF of 16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 is 16a^2 b^4, so
16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 = (16a^2 b^4)(a^2 + 2ab - 3b^2) = (16a

Megan and Julie are stuck simplifying radical expressions. Megan has to simplify the quantity of x to the one third power, over x to the one twelfth power. Julie has to simplify the thirty second root of the quantity of x times x to the second times x to the fifth. Using full sentences, describe how to fully simplify Megan and Julie's expressions. Describe if Megan and Julie started with equivalent expressions or if they started with expressions that are not equal.

Answers

x to the one-third divided by x to the one-twelfth is equal to x to the power of:

1/3-1/12

1/3-1/12

3/12

1/4

Therefore, this is the fourth root of x.

Julie is finding x to the (1+2+5)/32, or x to the 8/32 power. This simplifies to x^(1/4), which is also the fourth root of x. Megan and Julie have started with equal expressions.

Please tell me if this is right please

Answers

Yea I think so I’m pretty sure

Answer: I think this is right

Which is more, 2 1/2 pounds or 36 ounces?

Answers

2 1/2 pounds is more. Since there are 16 oz in a pound, you want to multiply 16 by 2.5, to equal 40 oz. 40>36

Choose the correct simplification of the expression the quantity a to the 2nd power over b to the 3rd power all raised to the 4th power.a to the 6th power over b to the 7th power
b12
a8b15
the quantity a to the 8th power over b to the 12th power

Answers

(a²/b³)^4

(a²)^4 ⇒ 2 x 4 = 8 = a^8
(b³)^4 ⇒ 3 x 4 = 12 = b^12

(a²/b³)^4 = a^8 / b^12

the quantity a to the 8th power over b to the 12th power

the answer to this problem is the last one (D)

Other Questions

Which of the following is closest to 27.8 x 9.6

16. Supposes that y varies inversely with x and that y-10 whenx-7. Which of the following equations models this relationship? A. Y=70x B. Y=-10x C. Y=x/70 D. Y=70/x

Select the statistical questions?How many days are in a year? How many houses are in your town? What percent of students like pizza? What is the average temperature in January? When does the bank open in the morning?

Movie tickets cost $6 for a child and $10 for an adult. A showing of a movie brought in $600 in ticket sales.