A rectangular room is 7 times as long as it's wide and it's perimeter is 64metres. Find the dimension of the room.

Answers

Answer 1

Answer:

Length = 28 meters Width = 4 meters

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters


Related Questions

Show all work. 5. Find the surface area of the composite figure.​

Answers

Answer:

        4130 m²

Step-by-step explanation:

[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]

The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476?

Answers

Basically you solve this by elimination or substitution
So you first make an equation where
c represents numbers of children tickets and ‘a’ represents adult tickets
a+c= 160
2a+ 5c=476


Multiply first equation by -2 to cancel out the a after addition
-2a-2c =-320
When you add the above equation with 2a +5c=476 you get 3c=156 which means that c=52 so the number of children tickets sold = 52
Now you substitute this answer to any of the equations and work out the value of a
a+52=160
a= 108

How many proportional relationships are shown in the coordinate plane below?

Answers

Answer:

The answer is A) There are no proportional relationship

Step-by-step explanation:

The green line does not go through the origin and it is curved. This is not a proportional relationship.

Problems: It does not go through 0,0 and it is curved.

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

The blue line may go through the origin but it is curved. This is not a proportional relationship.

Problem: It is curved.

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

The purple line does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

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

Conclusion: Since the green, blue, and purple line are not proportional, this means zero lines are proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

The graph has 0 proportional relationships.

What shows proportional relation?

The graph of a proportional relationship is a straight line through the origin or a ray whose endpoint is the origin.

How many proportional relation in graph?

In the given graph, only one purple color curve is a straight line but it is not starting through the origin.

Therefore, the graph does not have any proportional relationships.

Learn more: https://brainly.com/question/11391605

#SPJ2

A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best
describes how such a study would be designed as an observational study?

Answers

Answer:

Step-by-step explanation:

No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.

The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.

Number of T-Shirts Total Cost (dollar)
11 153
16 213
21 273

Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
A.
c(t) = 12 + 12t
B.
c(t) = 21t
C.
c(t) = 21 + 12t
D.
c(t) = 132t

Answers

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:

Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5

Answers

Answer:

[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]

Step-by-step explanation:

Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].

Please help with this (01.02 MC) Simplify negative 6 and 1 over 4 - negative 2 and 1 over 8 . (5 points) Group of answer choices 4 and 1 over 8 negative 8 and 3 over 8 negative 4 and 1 over 8 8 and 3 over 8

Answers

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
y= 2x-1
y= -2x+1
y= 1/2x -6
y= -1/2x -5

Answers

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

Answers anyone I’m at risk for summer school ;-;

Answers

Answer:

1 is B 2 is D 3 is A 4 is A 5 is C 6 is A


A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
a:119j
b:588j
c:100j
d:196j

Answers

196j is the answer to the problem

I chose the first answer, was I correct?

Explain!

Answers

Answer: Yes, by SAS

Step-by-step explanation:

This is because, two sides are equal and one angle is equal.

And also there is one angle between 2 sides, so it’s SAS

expanding triple brackets, i will give brainliest

Answers

Answer:

Step-by-step explanation:

Easy

(x^2+10x+24)(x+3)

(x^3+10x^2+24x + 3x^2+30x + 72)

x^3 + 13x^2+54x+72

[tex]x {3}^ + 13x + 54x + 72[/tex]

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

24 times 57 times 34 plus 50

Answers

Answer:

46,562 :) Brainliest pleaseeee

~Answer~

46,562

24*57*34=46,512

46,512+50=46,562

Math
HELPP PLEASEEE

It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?


Answers

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

1:44

Step-by-step explanation:

The number on the left of the colum is the hour and the number on the right of the colum is the minutes.

Y is directly proportional to x write a formula in terms of x find the value of y when x is 0.6 find the value of x when y is 38.5

Answers

Answer:

a)  [tex]x=\frac{y}{k}[/tex]

b) [tex]y=0.6k[/tex]

c) [tex]x=\frac{38.5}{k}[/tex]

Step-by-step explanation:

From the question we are told that:

  [tex]y=38.5[/tex]

  [tex]x=0.6[/tex]

Generally the equation for the directly proportional variable is mathematically given by

 [tex]y \alpha x[/tex]

 [tex]y=kx[/tex]

Where

[tex]K=proportionality\ constant[/tex]

a)

    The Formula in terms of x

   [tex]x=\frac{y}{k}[/tex]

b)

  [tex]y=k(0.6)[/tex]

  [tex]y=0.6k[/tex]

c)

   [tex]38.5=kx[/tex]

   [tex]x=\frac{38.5}{k}[/tex]

Dawn is going scuba diving. Which situation would be modeled by a positive number?
on the dive boat deck
at the water line
underwater near a reef
on the ocean floor

Answers

Answer:

Step-by-step explanation:

on the dive boat deck :)

on the dive boat deck

A file is 261 megabytes is being downloaded. If the download is 14.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

36.80

Step-by-step explanation:

261 x .141 = 36.801

What percent of data is less than 20?

Answers

Answer:

100%

Step-by-step explanation:

The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.

A jeweler had 38 inches of silver chain. She need five times that much to make some necklaces and 3 times that amount to make some bracelets. How much silver chain does the jeweler need to make her necklaces and bracelets?

Answers

Answer:

304 IN

Step-by-step explanation:

total inches needed for necklace : 38 x 5 = 190

total inches needed for necklace : 38 x 3 = 114

190 + 114 = 304 inches

What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.

Answers

Answer:

B is 5/8

Step-by-step explanation:

Note: 4/8 = 1/2 and 6/8 = 3/4

help please this is due by tonight

Answers

The answer is 2.4 I checked it

Answer:

0.27

Step-by-step explanation:

[tex]1)\ A_1 = \frac{h(a+b)}{2} = \frac{6(12+18)}{2} = \frac{6*30}{2} = \frac{180}{2} = 90[/tex]

[tex]2)\ A_2 = 14 * 24 = 336[/tex]

[tex]3)\ P = \frac{A_1}{A_2} = \frac{90}{336} = 27%[/tex]

1.) What percent of $144 is $18?

A.) 10%

B.) 12.5%

B.) 15%

D.) 17.5%
V
E.) None of these choices are correct.

Answers

Answer:

the anwser is 12.5 i did this question on a test last week

I've eliminated A & B already, I Just need help with the volume. NO LINKS!!

Answers

Answer:

Step-by-step explanation:

Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4) * [tex]2^{2}[/tex]

1.732050 * 7 = 12.123[tex]mm^{3}[/tex]

NEED HELP WILL BRAINLIST AND 10 points

Answers

Answer:

-4, -2, 6, 10, 12

Step-by-step explanation:

The function is h(x) = 2x + 4. H(x) is basically just another way of writing "y", so we technically have y = 2x + 4. We can complete the table by substituting the value of x that the table gives us.

The table gives us x = -4 and wants us to find h(x), or y. So, we do y = 2(-4) + 4 and we get y = -4.

The table gives us x = -3 so we do y = 2(-3) + 4 and we get y = -2.

The table gives us x = 1 so we do y = 2(1) + 4 and we get y = 6.

The table gives us x = 3 so we do y = 2(3) + 4 and we get y = 10.

The table gives us x = 4 so we do y = 2(4) + 4 and we get y = 12.

Stephanie borrowed $4,500 at a simple interest rate of 3.5% to buy a motorcycle. How much interest did she have to pay if the loan was taken out for 3 years?

Answers

C

Step-by-step explanation:

hope this helps

Which inequality is equivalent to −<7 - y < 7 ?

Answers

Answer: you didn't provide anything for us to answer

Step-by-step explanation:

X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM​

Answers

Answer:

Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.

If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.

The number of permutations of n objects taken r at a time is determined by the following formula:

P(n,r)=n!(n−r)!

Example

A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:

P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040

In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:

C(n,r)=n!(n−r)!r!

Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?

Step-by-step explanation:

Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

L = 150

Step-by-step explanation:

y intercept: when x = 0

Plug in x = 0 into the equation.

L = 150

This means that Parker has not yet begun to pay his friend.

Please I need help!!!!

Answers

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

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