The width of a rectangle varies inversely with its length. If the width is 4 when the length is 18, find the width when the length is 8

Answers

Answer 1

Answer:9

Step-by-step explanation:

Answer 2

Based on the calculations, the new width of this rectangle is equal to 9 units.

How to calculate the new width?

Mathematically, the inverse relationship between width (w) and length (l) is given by:

w α 1/l

w = k/l

k = wl

Given the following data:

Width A = 4 units.Length A = 18 units.

Substituting the given parameters into the formula, we have;

k = 4 × 18

k = 72.

Now, we can determine new width:

w = k/l

w = 72/8

Width, w = 9 units.

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Related Questions

[tex] \frac{42}{ \sqrt{28} } + \frac{60}{45} - 2 \sqrt{20} + 2\sqrt{175} [/tex]

Answers

Answer:

4/3−4√5+13√7

Step-by-step explanation:

So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical

So for the first part we multiply the numerator and denominator by [tex]\sqrt{28}[/tex] which gives us [tex]\frac{42\sqrt{28} }{28}[/tex] we can then factor the 28 into sqrt(7,2,2) which simplifies to [tex]42*2\sqrt{7}[/tex]/28  So then we can simplify this and get [tex]3\sqrt{7}[/tex] We then can simplify the rest of these radicals and get [tex]2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}[/tex]  and [tex]2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7}[/tex] This means that so far we have the following:[tex]3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7}[/tex] We can add the like terms and simplify the fraction and get 4/3−4√5+13√7

(Hurry pleasee) Mrs Jacobs has 24 fifth grade students in her class one third of them are boys. The rest are girls how many students in the class are girls

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

one third of 24 is eight, 8x2=16

A department store buys 400shirts at a cost of ​$7,200 and sells them at a selling price of ​$20 each. Find the percent markup.

Answers

Answer:

1140 I think

Step-by-step explanation:

y=9
1a + 6 = 24
1. - 19

Answers

Answer:

56979=90

Step-by-step explanation:

That is not possible for either of those to be right.

Answers

Answer:Umm ok...
Explanation:whatever you say

HHHHHEEEEELLLLLPPPPP PLEASEEE!!!!

Answers

Answer:

15 times per seconds

Step-by-step explanation:

basta 15 times per seconds

prove. show work and reasons ans also show if they are ASA, SSS, AAS, SAS

Answers

Answer:

sas

bc there is a side, right angle, side

Step-by-step explanation:

Solve the following equaition: (n/3) - 7 = -17​

Answers

Answer:

[tex]n=-30[/tex]

Step-by-step explanation:

Ms. Cole bought lunch from Papa John's for her class. The total bill was $55.00. If she left a 20% tip, how much tip did she leave?

Answers

Answer:

the answer is 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

What is the length of BD?

Answers

Answer:

[tex]10\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

Sine Ratio

[tex]\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 60^\circ=\frac{BD}{20}[/tex]

Solving for BD:

[tex]\displaystyle BD=20\sin 60^\circ[/tex]

Since

[tex]\sin 60^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle BD=20\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\boxed{\displaystyle BD=10\sqrt{3}}[/tex]

riley can dribble a basketball 50 times in 1/2 minute with her right hand and 30 times in 1/2 minute with her left hand. what is the ratio of her right hand to her left hand dribbling rate?

Answers

Answer:

5:3.

Step-by-step explanation:

Riley can dribble a basketball 50 times in 1/2 minute with her right hand and 30 times in 1/2 minute with her left hand.

Rate of her right hand is : [tex]\dfrac{50}{(1/2)}=100\ \text{per minute}[/tex]

Rate of her left hand is : [tex]\dfrac{30}{(1/2)}=60\ \text{per minute}[/tex]

Ratio of her right hand to her left hand dribbling rate : [tex]\dfrac{100}{60}=\dfrac{5}{3}[/tex]

So, the required ratio is 5:3.

what is an equation of the line through (0,-3) with slope 2/5?

Answers

Answer:

y=2/5x-3

Step-by-step explanation:

hope this helps

PLEASE I need help what is the relationship between the pre image and the image in any rigid motion

Answers

Answer:

they are congruent

Step-by-step explanation:

Aaliyah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3 hours and charged her $66 for parts. The total was $441. Write and solve an equation which can be used to determine x, the cost of the labor per hour.​

Answers

laboure was charging. $22 for 1hour

solve for x please help hfkshsj

Answers

Answer:

x= 17

Step-by-step explanation:

using Pythagoras' Theorem we have

[tex]8^2+15^2=x^2\\\\64+225=x^2\\\\289=x^2\\\\x^2=17^2\\\\x=17[/tex]

2. Was your plan in part B an example of direct variation (the plan depended only on the time spent talking) or a partial variation? (the plan depended on the time spent talking and an initial cost). 3. Which Plan best for you? Was this the same as your hypothesis? 4. Which plan had the highest rate of change? Which plan has the lowest slope? 5. Using your graph, which plan would be best if you talked for 200 minutes? 6. When is the Rogers My5 plan better than the Telus prepaid plan? 7. Which plans are an example of direct variation? 8. Come up with at least 3 other things that need to be considered when choosing your cell phone plan (aside from cost per minute talking), and explain why these are important to you.

Answers

9514 1404 393

Answer:

  2. not direct variation; is "partial variation"

  3. Public Mobile

  4. highest: Telus (prepaid); lowest: Public Mobile

  5. Public Mobile

  6. > 200 minutes

  7. Plans 1, 2, 3 (with b=0) are direct variation

Step-by-step explanation:

Reference https://brainly.com/question/20889835 for more information

__

2. The "Part B" plan chosen has a y-intercept (b) of 24, so is not direct variation. Here, that qualifies it as "partial variation."

__

3. The lowest rate by far for 600 minutes is offered by Public Mobile (plan 6). That is the same as our hypothesis.

__

4. The highest rate of change (m) is that for Plan 3, Telus (prepaid). Its cost of $0.35 per minute is higher than that for any other plan.

The plan with the lowest slope (m) is Plan 6, Public Mobile, which has zero slope.

__

5. A graph of all the plans is shown in the attachment. For any time over 140 minutes, Plan 6, Public Mobile, is the lowest cost.

__

6. On the graph, the purple line (Rodgers MY5) plan becomes lower cost for more than 200 minutes. Below that time, the green line (Telus prepaid) is lower cost.

__

7. Plans 1, 2, 3 have no cost for zero minutes, so they are all examples of direct variation.

__

8. This is a personal question, so cannot be answered for you. Some of the things usually considered (in no particular order) are ...

  on-line user ratings

  coverage map

  roaming charges

  availability of automatic payments

  personal experience with the carrier

  choice (and cost and features) of compatible phones

  data and/or text options (speed, cost, amount available)

A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9.50. Sarah buys 3 popcorn buckets and 4 fountain drinks for her family, and pays a total of $19.75. If p represents the number of popcorn buckets and d represents the number of drinks.

Answers

Answer:

Step-by-step explanation:

p + 3d = 9.50

3p + 4d = 19.75

-3p - 9d = -28.50

3p + 4d =  19.75

-5d = -8.25

d= $1.65 drinks

p + 3(1.65) = 9.50

p + 4.95 = 9.50

p = $4.55 popcorn



Help me with this question......
4. The diagram on the right shows a trapezium PQRS where PQ=(x-1) cm, PS = (x+3) cm and QR = (3x + 2) cm.
Given the area of the trapezium is 17 cm", find the value of x.


Answers

Answer:

probably is around like 7x- somthing

I need help graphing -8x-y=8​

Answers

Answer:

y = -8x - 8

Step-by-step explanation:

Add -8x on both sides to get -y = 8x + 8 and flip the y sign on the left to get your slope function which is y = - 8x - 8.

To graph the function, you would need to put (0, -8) as your y-intercept, and each unit will go down 8 units when you add 1.

Answer:

y=8x+8

Step-by-step explanation:

Just rewrite the problem so it's in y=mx+b format then it's easy to graph

Remember the y intercept is 8 because when x=0  y=8 and the slope is 8 so go up 8 and right 1

The function f is defined by f(x )=150÷x −z , where z is constant.Find z if the value of f at x = 1 5 is equal to 250.

Answers

Answer:

-150

Step-by-step explanation:

The function f is defined by f(x )=150÷x −z , where z is constant. Find z if the value of f at x = 1 5 is equal to 250.

Given the function;

f(x )=150÷x −z

This can also be written as;

f(x )=150/x −z

If f(1.5) = 250, hence;

at x = 1.5, f(x) = 250

Substitute;

250 = 150/1.5 - z

250 = 100 - z

z = 100 - 250

z = -150

Hence the value of z is -150

two years ago a man was six times as old as his daughter. In 18 years he will be twice as old as her, determine their present ages

Answers

Step-by-step explanation:

Let m = man's age right now

d = daughter's age right now

m-2 = 6(d-2)  =>  m = 6d -12 +2 = 6d-10

m+18 = 2(d+18)   =>   m = 2d+36-18 = 2d+18

6d-10 = 2d+18

4d = 28

d = 7

m = 32

please help me will give brainliest to ​

Answers

Answer:

C-The maximum range of weekly hours worked by high school students is less than the maximum range of weekly hours worked by college students.

If △RST is translated left 2 and down 1 then reflected over the x-axis, what are the coordinates of the new triangle?

Answers

Answer:

t(-3,-2) s(2,-1) r(-1,-5)

At a restaurant, an order of 3 tuna sandwiches and 3 sodas costs $21.84. An order of 3 tuna sandwiches and 5 sodas costs $25.50. How much more does 1 tuna sandwich cost than 1 soda? O A. $3.66 O B. $1.83 O C. $7.28 O'D. $3.62​

Answers

Answer:

just ask your teacher bro

Step-by-step explanation:

Jamar used his Chase credit card to purchase groceries for $25.87, gas for $ 42.25, and a video game for $52.24 this month. How much should his payment to his credit card company be in order for him to avoid interest charges on these purchases?

Answers

Answer:

$120.36

Step-by-step explanation:

The computation of the amount that should be pay to his credit card is as follows;

= Purchase of groceries + gas charges + video game

= $25.87 + $42.25 + $52.24

= $120.36

He has to pay the above amount to his credit card company to avoid the interest charges on these purchases

Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c−300=250, where c is the selling price of each costume. What was the selling price of one costume in dollars?
HURRYY WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWERS !!!!!

Answers

Answer:

300 + 250 = 550

550/50 = 11

$11 per costume

The selling price of each costume will be equal to $11 per costume.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

Total number of costumes = 50

Total profit made by Aida = $250

300 + 250 = 550

550/50 = $11

$11 per costume.

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Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the youngest of them

Answers

Answer:

16 years old

Step-by-step explanation:

Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:

s = b + 6 (Sushil is 6 years older than Brian)

c = b - 5 (Caroline is 5 years younger than Brian)

s + b + c = 64 (The total of their ages is 64)

Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:

(b + 6) + b + (b - 5) = 64

3b + 1 = 64

3b = 63

b = 21

Now that we know Brian's age, we can simply subtract 5 to find Caroline's:

c = b - 5 = 21 - 5 = 16 years old.

If a nickel weighs 5. 62 grams and you jave 3 nickels, how much is their total weight?​

Answers

Answer:

total weight = 5.62 X 3 = 16.86 grams

what place value is this in 8.7438 the under lined number is 7​

Answers

Answer:

tenths place

Step-by-step explanation:

Please help please...

Answers

First one is
(2x+5)

Second one is
“All of these are correct”

Hope this helped

Answer:

(2x + 5)

Step-by-step explanation:

2(x + 1) + 6x = 4(2x + 5) + 2

2x + 2 + 6x = 8x + 20 + 2

8x + 2 = 8x + 22

Because both sides are 8x it will have no solution      

Second one is "all of these are correct"  

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