The figure below is a rectangle with the dimensions given. If the perimeter of the rectangle is 48 cm, what are the
dimensions of the rectangle?
Х
3x

Answers

Answer 1

Answer:

6 cm and 18 cm.

Step-by-step explanation:

We are given that:

Dimensions of rectangle: x and 3xPerimeter of rectangle: 48 cm

The perimeter of any rectangle is:

L + W + L + W

To determine the dimensions of the rectangle, we need to determine the value of "x". The word "dimensions" are the length and the width of the rectangle. Since the question has not stated the length and width, we can consider the length as x and the width as 3x.

⇒ (x) + (3x) + (x) + (3x)

It is also given that the perimeter of the rectangle is 48 cm. Thus, the formula with the length and the width substituted is equivalent to 48 cm.

⇒ (x) + (3x) + (x) + (3x) = 48 cm

It is required for the expression on the left hand side to be simplified. This can be done by combining like terms.

⇒ x(1 + 3 + 1 + 3) = 48 cm⇒ x(8) = 48 cm

Then, we can divide 8 both sides to isolate the coefficient from "x". Once the coefficient of "x" is isolated, we will obtain the value of "x".

⇒ x(8)/8 = 48/8⇒ x = 6

Finally, substitute the value of "x" into the length and the width. We considered the length to be "x" and the width to be "3x". Therefore,

⇒ Length = x cm = 6 cm⇒ Width = 3x cm = 3(6) cm = 18 cm

Thus, the dimensions of the rectangle are 6 cm and 18 cm.

Answer 2
L=3xB=x

Now

2(L+B)=482(x+3x)=482(4x)=488x=48x=6

B=6

L=3(6)=18


Related Questions

can someone please help my solve for x?

Answers

x= 41

Break the shape into two triangles

Use Pythagoras theorem to solve for the hypotenuse of the first triangle (the triangle with sides 32 and 24). You should have 40

Get to the second triangle. Use Pythagoras theorem to solve for the hypotenuse which, in this case, is x. Note that the sides of the second triangle are 40 (the hypotenuse of the last triangle. Look closely. ) and 9

a store found out that 10% of people who had bought a certain brand of a coffee grinder were unhappy with it. if there were 72 people who were happy with it, then how many people in total had bought that brand

Answers

Answer:

the answer is 720

Step-by-step explanation:

you multiply 72 × 10.

round to the nears hundrend .7,666

Answers

Answer:

.767

Step-by-step explanation:

0. ones, tens, hundreds, thousands

What is the solution to the inequality 3a/2 < 24

Answers

Answer:

a < 16

Step-by-step explanation:

We must get a alone to solve this. So first multiply by 2

3a/2 < 24

*2

3a < 48

Divide by 3

a < 16

what comes first i genuinely forgot, like is (2,3) on a graph (x,y) or is it (y,x)

Answers

Answer:

(x,y)

Step-by-step explanation:

x comes first always

(x,y)

so 2 would be the x value and 3 would be the y value

Type the correct answer in the box. the volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. the area of the base of the pillar is π square centimeters.

Answers

Answer:

113.04

Step-by-step explanation:

Given:V = 324 cu

cmh = 9 cm

Since the formula for the volume of a cylinder is V = AreaBase*heightAreaBase = V/height = 324cu cm/ 9 cmAreaBase = 113.04 square centimetresTherefore, the area of the pillar in square centimeters is 113.04

The base area of the cylindrical pillar would be; 113.04 cm²

What is the Volume of a cylinder?

The volume of the cylinder is the product of the height, pie, and square of the radius.

v = πr²h

where, r = radius, h = height

Therefore,

v = 324π cm³

h = 9cm

Consider find the radius;

324π = 9πr²

r² = 324π  /9π

r² = 36

r = √36

r = 6 cm

Base area of the pillar = πr²

Base area of the pillar = 36π

Base area of the pillar = 36 × 3.14

Base area of the pillar is 113.04 cm²

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Which statement is correct? twenty-nine seventh-grade students chose a sports activity. twenty-eight eighth-grade students chose a sports activity. twenty-four seventh-grade students chose a non-sports activity. thirty-nine eighth-grade students chose a non-sports activity.

Answers

There are 24 students in the 7th grade who chose non-sports. Then the correct option is C.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in non-sports-related activities. The two-way table shows.

Participation in Sports or Non-Sports

There are 24 students in the 7th grade who chose non-sports.

More about the statistics link is given below.

https://brainly.com/question/10951564

Answer:

C

Step-by-step explanation:

What I'd the value of x

Answers

Answer:

Can you please give us figure so that i can help you

If f (x) = 5 x minus 25 and g (x) = one-fifth x 5, which expression could be used to verify g(x) is the inverse of f(x)? one-fifth (one-fifth x 5) 5 one-fifth (5 x minus 25) 5 startfraction 1 over (one-fifth x 5) endfraction 5 (one-fifth x 5) 5

Answers

We study if the composition of both functions equals the identity ("x") that is if f(g(x)=x

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what f(g(x))  renders. Notice as well that the same verification could be done by examining g(f(x) .

Let's work with f(g(x).

[tex]f(g(x)=f(\dfrac{1}{5}+5)\\\\f(g(x)=5(\dfrac{1}{5}x+5)-25\\\\f(g(x)=x+25-25\\\\f(g(x)=x[/tex]

So we see that the composition of both functions indeed renders "x", and that way we have verified that one is the inverse of the other.

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The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet, find the measure of the sides.

Answers

Answer:

The sides of the triangle are 45, 60, and 25 ft

Step-by-step explanation:

9 + 12 + 5 equals 26.

Now we need to get the first two sides.

9/26 × 130 = 1170/26 = 45

In order to obtain the other side;

12/26 = 1560/26 = 60

And to obtain the third side:

5/26 × 130 =650/26 = 25

Therefore, the sides of the triangle are 45, 60, and 25 ft

I hope this helps! ^-^

In football, the team that has the ball has four chances to gain at least ten yards. If they don't gain at least ten yards, the other team gets the ball. Positive numbers represent a gain and negative numbers represent a loss. Select all of the sequences of four plays that result in the team getting to keep the ball. A: 8, -3, 4, 21 B: 30, -7, -8, -12 C: 2, 16, -5, -3 D: 5, -2, 20, -1 E: 20, -3, -13, 2

Answers

first, you have to solve all the answers to see if they equal at least 10 OR MORE.
A) 8 - 3 + 4 + 21 = 30, so YES, that is more than ten yards.
B) 30 - 7 - 8 - 12 = 3, so NO, 3 points is not enough.
C) 2 + 16 - 5 -3 = 10, so YES, they scored just enough points.
D) 5 - 2 + 20 - 1 = 22, so YES, that is at least 10.
E) 20 - 3 - 13 + 2 = 6, so NO, not enough points.

THE CORRECT ANSWERS ARE A), C), AND D)

:D

Tina buys tickets to an amusement park. Adult tickets cost $18.50 each and children tickets cost $12.25 each. Tina has $280 to purchase both adult and children's tickets. If she purchases 6 children's tickets, determine algebraically the maximum number of adult tickets that Tina can purchase.

Answers

Answer: 11 adult tickets

Step-by-step explanation:

      First, we will write an equation. Let x be adult tickets and y be children tickets.

   $280 ≥ 18.5x + 12.25y

      Now I will graph it!

-> See attached

    If she bought 6 children's tickets, we can look to the y value of 6 (children's tickets) to find our maximum value of x (adult tickets).

    This means she can buy a maximum of 11 tickets because we will assume she cannot buy part of a ticket.

      She can buy 11 adult tickets.

What is the area of a trapezoid based right prism that has the volume of 30cm cubed

Answers

Answer:

6 cm²

Step-by-step explanation:

V = Bh

30 = B (5)

[tex]b \: = \frac{30}{5} = 6 \: cm {}^{2} [/tex]

which of the following is a property of all rectangles

Answers

Answer:

The fundamental properties of rectangles are:

A rectangle is a quadrilateralThe opposite sides are parallel and equal to each otherEach interior angle is equal to 90 degreesThe sum of all the interior angles is equal to 360 degreesThe diagonals bisect each otherBoth the diagonals have the same lengthA rectangle with side lengths a and b has the perimeter as 2a+2b unitsA rectangle with side lengths a and b has the area as: ab sin 90 = ab square unitsThe sum of the interior angles is equal to 360 degreesA diagonal of a rectangle is a diameter of its circumcircleIf a and b are the sides of a rectangle, then the length of each diagonal is: [tex]\begin{array}{l}d = \sqrt{a^{2}+b^{2}}\end{array}[/tex]The diagonals bisect each other at different angles. One is acute, and another one is an obtuse angleIf the two diagonals bisect each other at right angles, then the rectangle is known as a squareA cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the longer parallel sides. In this case, the height of the cylinder is equal to the width of a rectangle. Also, the cylinder diameter is equivalent to the length of a rectangleA cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the shorter parallel sides. In this case, the height of the cylinder is equal to the length of a rectangle. Similarly, the cylinder diameter is equivalent to the width of a rectangle

Step-by-step explanation:

Since you said, which of the following, I don't see any attachment. Yet, this is my best try at giving you an answer. Please mark my answer brainliest :)

Find the area! (Don’t need to explain)

Answers

Area of vertical rectangle:-

13(5)65mm²

Area of horizontal rectangle:-

13(2)26mm²

Area of triangle:-

1/2(13-10)(5)1/2(3)(5)15/27.5mm²

Total area:-

7.5+26+6598.5mm²

A manager drew this box-and-whisker plot to represent the ages of her 23 employees. Every employee is a different age.

Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.

How many employees are older than 54 ..?

Answers

Answer:  6

Explanation:

The left and right edges of the box represent Q1 and Q3 respectively

Q1 = first quartile

Q3 = third quartile

The boxplot shows Q3 = 54

The span from Q3 to the max represents exactly 25% of the population.

Take 25% of the 23 employees

0.25*23 = 5.75

Rounding to the nearest whole number leads to 6.

What is the slope of the line?

Answers

Answer:

[tex]\text{slope} =\frac{3}{2}[/tex]

Step-by-step explanation:

Firstly ,check the image I provided.

we notice that the points A(1 , -3) and B(3 , 0) lie on the line

then

[tex]\text{slope} =\frac{0-\left( -3\right) }{3-1} =\frac{3}{2}[/tex]

What scenarios are examples of fair use of a copyrighted image?

Select all that apply.

A newspaper prints a small image of a book cover alongside a review of the book.
A company that sells educational applications pays a license fee to use an image for one of its applications.
A city government department uses part of a copyrighted image for its anti-littering campaign.
An environmental nonprofit organization uses copyrighted images on the donation portion of its website.

Answers

Answer:

D) An environmental nonprofit organization uses copyrighted images on the donation portion of its website.

the sum of two rational number is -8 ,if one of the number is -10/1, find the other number.

Answers

Answer:

2

Step-by-step explanation:

-10 + x = - 8     add 10 to both sides of the equation

     x = 2  

Find the value of x.
Y
23
X
L
K
29
N
11x + 2
W
35
3
33
None of these

Answers

Answer: 3

Step-by-step explanation:

The answer to the question including equations is "None of these."

The value of x cannot be determined from the information given. The answer choices are all numbers, but they do not follow any obvious pattern. There is no mathematical operation that can be performed on the answer choices to arrive at a single value for x.

If we were given more information about the problem, such as the relationship between the answer choices, then we might be able to determine the value of x. For example, if we were told that the answer choices are all prime numbers, then we could rule out all of the answer choices except for 2 and 3. However, without more information, the value of x cannot be determined.

Here is a more detailed explanation of why the value of x cannot be determined:

The answer choices are all numbers, but they do not follow any obvious pattern. For example, the answer choices are not consecutive numbers, nor are they all even or odd numbers.

There is no mathematical operation that can be performed on the answer choices to arrive at a single value for x. For example, we cannot add, subtract, multiply, or divide the answer choices to get a single value for x.

If we were given more information about the problem, such as the relationship between the answer choices, then we might be able to determine the value of x. For example, if we were told that the answer choices are all prime numbers, then we could rule out all of the answer choices except for 2 and 3. However, without more information, the value of x cannot be determined.

Therefore, the answer to the question is "None of these."

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Mia placed a point P on the number line give the value of the number P as a fraction what does the denominator denominator of a fraction present on the number line what does the numerator of a fraction represent a number one answer answer and explain your explanation boat space provided

Answers

Mia's fraction is an illustration of number lines

The fraction present on the number line is 5/6

How to determine the fraction?

From the complete question, we have the following parameters:

Sections on the number line = 6Section on the point P = 5

This means that, the fraction represented by the point P is:

P = 5/6

Hence, the fraction present on the number line is 5/6

Read more about number lines at:

https://brainly.com/question/4727909

Marcus traveled 45.5 miles in 3.25 hours. Part A: How many feet did Marcus travel? (1 mile = 5,280 feet) feet Part B: How many minutes did Marcus travel? minutes

Answers

Answer:

part a is 240240

Step-by-step explanation:

multiply the value in miles by the conversion factor '5280'.

Korey is planning to open a comic book store near his home. after completing a population survey for 3,520 homes in a 5 mile radius, korey created the chart below to include in the market analysis section of his business plan. korey expects 75% of his business to come from kids in high school and grade school. about how many of homes surveyed fit into one of these two categories? a pie chart titled population surveys. retired (55 plus), 10 percent; family (kids in college), 8 percent; family (kids in high school), 18 percent; family (kids in grade school), 32 percent; family (no kids), 20 percent; single, 12 percent. a. 493 b. 637 c. 1,126 d. 1,760

Answers

Kids in grade school have a maximum percentage of 32 reasons that Option (d) is the correct answer.

why are the grade-school-aged kids surveyed?

Korey did the market analysis section of his business plan after conducting a population survey of 3,520 homes within a 5-mile radius.

He discovered that younger children who read comic books as children are more likely to read them as adults, resulting in a current and future client base.

For more information about the market analysis survey, refer below

brainly.com/question/3886071

There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 5?

Answers

Answer:

Step-by-step explanation:

7 / 15 ≈ 0.47Explanation:1) Probability = number of positive outcomes / number of possible outcomes2) Positive outcomesMultiples of 5: 5, 10, and 15Multiples of 3: 3, 6, 9, 12, 15.Different outcomes (cancel the repetitions): 3, 5, 6, 9, 10, 12, and 15.Number of different positive outcomes: 73) Number of possible outomes: 154)

 Probability = 7 / 15 ≈ 0.47

PLEASE HELP I'M SO CLOSE TO BEING DONE

Answers

Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

P = 4x² + 1 + 26x + 6 + x² + 10x ← collect like terms

  = 5x² + 36x + 7

to factor the expression, consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = 36

the factors are + 35 and + 1

use these factors to split the x- term

5x² + 35x + 1x + 7 ( factor the first/second and third/fourth terms )

= 5x(x + 7) + 1 (x + 7) ← factor out (x + 7) from each term

= (x + 7)(5x + 1) , then

P = (x + 7)(5x + 1) ← in factored form

help me please please

Answers

Answer:

x + 1, y - 4

Step-by-step explanation:

Look at a point on EFGH, then its corresponding point on E'F'G'H'. Taking E, you can see that E' is one to the right and four down from it.

If you want it in math terms instead of visual ones, you can see that E is (-1, 1) and E' is (0, -3). How do you get from (-1, 1) to (0, 3)? You add 1 to x and subtract 4 from y. You can then go through all 4 points and see this is the relationship between all of them! :-)

A cylinder has a base radius of 10in and a height of 20in. What is its volume in cubic in, to the nearest tenths place?

Answers

Answer:

6283.2

Step-by-step explanation:

[tex]V=\pi r^{2} h[/tex]

[tex]= \pi*10^{2} *20=6283.2[/tex]

Answer:

V=1570.8in³

Step-by-step explanation:

The formula for finding a cylinder using base diameter and height: V= π(d/2)² • h

if the:

D-10in

H-20in

V=π(10/2)²•20

which equals 1570.8in³

-my bad thought it said base diameter no radius


Identify the y-intercept and slope of
the line.
y= 2x - 5

Answers

Answer:

y-intercept = -5

slope = 2

Step-by-step explanation:

Hello!

The y-intercept is always the y-coordinate when the line touches the y-axis. You can find this by plugging in 0 for x in the equation or choosing the last term in slope-intercept form.

Slope intercept form: y = mx + b

y = outputx = inputm = slopeb = y - intercept

Given this info, we can see that the slope, m, is 2, from our equation of y = 2x - 5, and the y-intercept is -5

PLEASE I NEED HELP!!!

The original cost for a pair of sneakers is $65. After discounts, the total price for the sneakers came to $55.25. What percentage discount is that?
15%
20%
18%
5%

Answers

15%, you can test it by doing 15% off of 65 which is 55.25
15%
is your answer i have to write more words because theres a minimum

Find the volume of the prism below.
7 cm
3 cm
16 cm
A cubic cm

Answers

Answer:

i dont have the answer but heres a little help to find your answer:)

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. 

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