Are these two quantities inversely proportional? a.) The time it takes to drive 100 miles and the average driving speed b.) The lengths of sides of a rectangle if the perimeter is fixed c.) The lengths of sides of a rectangle if the are is fixed

Answers

Answer 1

Answer:

A, B & C are inversely proportional.

Step-by-step explanation:

For two quantities like x and y to be inversely proportional, they are to be written as;

y ∝ 1/x

This means that if x increases, then y decreases and if x decreases, then y increases.

A) The time it takes to drive 100 miles and the average driving speed.

Now, formula for time in motion is;

Time = Distance/speed

Let's denote time as t and speed as v.

Thus;

t = 100/v

From this relationship, it's clear that when v increases, then t decreases and vice versa. Thus it is inversely proportional.

B) The lengths of sides of a rectangle if the perimeter is fixed.

Perimeter of a rectangle is given as;

P = 2(L + W)

Where L is length and W is width.

Now, if the perimeter is fixed, it means an increase in the length will lead to a decrease in the width and vice versa. Thus, it is inversely proportional

C) The lengths of sides of a rectangle if the area is fixed.

If the sides are x & y.

Then;

A = xy

A/x = y

This means that;

1/x ∝ y.

Thus, the sides will be inversely proportional.


Related Questions

What is the GCF of 12x and 28x^3

Answers

Answer:

4x........................................

6⋅v⋅v⋅v⋅v⋅v with exponents

Answers

Answer:

6.v⁴

Step-by-step explanation:

6.v.v.v.v.v

6.v four more times

so

6.v⁴

Match the angle pair?

Answers

Answer:

1) alt. interior

2) corresponding

3) alt. exterior

4) consecutive

ASAP
ptolemy has read 18 chapters of a 35 chapter book. What percent of the chapters has he read? Type your answer as a number followed by the percent symbol. Round your answer to the nearest tenth.

Answers

Answer:

51%

Step-by-step explanation:

Take 18/35You should get .51428Round the decimal to .51Turn the decimal into a percentage by moving the decimal point to the right 2 places.You should get 51%

The percentage would be 52%

Convert each fraction or mixed number to a decimal using an equivalent fraction.(plus whoever answers first and right gets brainliest)
1. 4/5

2. 3/40

3. 8/200

4. 3 5/16

Answers

Answer:

Step-by-step explanation:

0.8

0.075

0.04

3.3125

Answer:

thanks alot this math is hard im behind this rilly helped me

Step-by-step explanation:

7th grade is hard i was ventral last year so i cinda for got everything  so thanks

When solving the equation 3y+11=35 , which operation do you "undo" first?

Answers

Answer:

the addition

Step-by-step explanation:

3y + 11 = 35

     -11     -11

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

3y = 24

-----------

3       3

----------

y = 8

Answer:

you can really do whatever as long as you keep the equation balanced but if your teacher is expecting something specific from you then you would undo 11 (take away 11 from both sides)

Step-by-step explanation:

3y + 11 = 35        original equation

3y = 24               subtract 11 from both sides

y = 8                   divide both sides by 3 to get y alone

Please help I don’t understand.

Answers

Answer:

The answer is 6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The cost, c, to rent a kayak for h hours is shown in the table below.
I fr forgot how to do rate of change please help me lol

Answers

Answer:

Rate of change in the rent of yak = $5 per hour

Step-by-step explanation:

Rate of change in the cost from the table is given by the formula,

Rate of change = [tex]\frac{\triangle C}{\triangle h}[/tex]

Where ΔC = Change in the rate of the yak

Δh = Change in time

Change in the rent of yak = ΔC = 30 - 25

                                                    = $5

Change in time = Δh = 3 - 2

                                 = 1 hours

Rate of change = [tex]\frac{5}{1}[/tex]

                          = $5 per hour

in the first quadrant you start at 6,4 and move 2 units left

Answers

It would turn into 4,4 because if you move to the left your x goes down and it would go down 2 to 4

What is the median of 0,0,0,0,1,1,1,1,1,2,3,3,3,5,6,6,6,7

Answers

Answer: 1.5

Step-by-step explanation:

eliminate the numbers that aren’t in the middle. You‘re left with 1 and 2. Find the average of them which is 1.5. That is your median.

Measures of the numbered angles

Answers

Were is the picture??

24.50m+22=18.25m+47 pleaseeeee helppppp

Answers

Answer:

Maybe try m = 4

Step-by-step explanation:

M=4
24.50m+22=17.25m+47
Move the terms
24.50m-18.25=47-22
Collect like terms
Calculate
6.25m=25
Divide both sides
M=4

What is the speed of a car in m/hr that traveled 75 miles in 2 hours and 30 minutes?

Answers

example :-

Answer:

A car travel 90km in 2.5 hours, How much time is required to cover 60km with the same speed?

find the distance covered in 4 hours?

90km →2.5hrs.

Speed= 2.5/90=36 km/hr

i) Time required = 36/60 = 3/5 hrs

Distance covered=36×4=144km.

Step-by-step explanation:

plz mark me brilliantest

Jerry and Steve each had 24 candy bars to sell. Jerry sold 50% of his candy bars.
1
Steve sold of his candy bars. What fraction of the total candy bars did Jerry and
Steve sell together?

Answers

Answer:

I got 5/8

( Please correct me if I'm wrong, I really hope I'm correct, Please correct me if I'm wrong )

- LxlyPxppy <3

Select the correct answer. Who are angel investors? A. Individual investors or institutions who give credit to small and medium enterprises B. Wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business C. Banks that lend money in exchange for collaterals D. Credit unions with stricter guidelines compared to others

Answers

Answer: B. . Wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business

Step-by-step explanation:

Angel investors are wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business.

It should be noted that when new businesses are been established or wants to start up, they usually have little capital and often times, need someone to help them with funds.

Am angel investor invests in such companies in exchange for ownership equity and also gives them the.nweded support.

Write an equation in slope-intercept form for the line that passes through (5, 3) and is parallel to x + 3y = 6.

Answers

Answer:

Step-by-step explanation:

the line given is

[tex]x + 3y = 6\\3y = -x + 6\\y = \frac{-1}{3} (x) + 2\\[/tex]

parallel lines have the same slope

[tex]y = \frac{-1}{3} (x) + b\\3 = \frac{-1}{3}(5) + b\\\frac{9}{3} = \frac{-5}{3} + b\\ b = \frac{14}{3}\\[/tex]

[tex]y = \frac{-1}{3} (x) + \frac{14}{3}[/tex]

The equation of line passes through the point (5, 3) will be;

⇒ y = - x/3 + 14/3

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (5, 3).

And, The parallel line is,

⇒ x + 3y = 6

⇒ y = - x/3 + 2

Now,

Since, The equation of line passes through the point (5, 3).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

⇒ y = - x/3 + 2

⇒ m = dy/dx = - 1/3

⇒ m = - 1/3

Thus, The equation of line with slope - 1/3 is,

⇒ y - 3 = - 1/3 (x - 5)

⇒ y - 3 = - 1/3 (x - 5)

⇒ y - 3 = - x/3 + 5/3

⇒ y = - x/3 + 5/3 + 3

⇒ y = - x/3 + 14/3

Therefore, The equation of line passes through the point (5, 3) will be;

⇒ y = - x/3 + 14/3

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

A 4% peroxide solution is mixed with a 10% peroxide solution, resulting in 100 L of an 8% solution. The table shows the amount of each solution used in the mixture.

A table titled Peroxide Solution, showing Liters of Solution, Peroxide Concentration and Total. The first row shows 4 percent Peroxide, with 100 minus s, 0.04, and x. The second row shows, 10 percent Peroxide, with, s, 0.10, and y. The third row shows Mixture, and has 100, 0.08, ans z.

What is the value of z in the table?

6
7
8
9

Answers

Answer:

0.05 or you can say 5%.

Step-by-step explanation:

on Edge

which Expression best represents the opposite of the opposite 8 1/4​

Answers

Answer:

8 and 1/4

Step-by-step explanation:

The opposite of 8 and 1/4 is -8 and 1/4

so the opposite of that opposite is 8 and 1/4

ASSISTANCE PLEASE
The path of a projectile
launched from a 16-ft-tall tower
is modeled by the equation
y = −16x2 + 64x + 16. Graph the
equation. What is the maximum
height, in feet, reached by the
projectile?

(On a graph)

Answers

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

The given equation of the path of the projectile is y = -16·x² + 64·x + 16

Where;

y = The height in feet, reached by the projectile (Assumption)

x = The time it takes the projectile to reach the height, y (Assumption)

The shape of the given equation of the path of the parabola is that of a parabola turned upside down.

We have that the maximum height is given by the top of the curve where the curve changes direction, and the slope = 0

Therefore, we have;

[tex]Slope = \dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{\mathrm{d} \left (-16\cdot x^2 + 64\cdot x + 16 \right )}{\mathrm{d} x} = -32 \cdot x + 64 = 0[/tex]

Therefore, at the maximum point, the slope is -32·x + 64 = 0

∴ x = -64/(-32) = 2 at the maximum point

The height at the maximum point = The maximum height, [tex]y_{max}[/tex], is found by finding the value of y (the height) at x = 2 (the value of x at the maximum point)

Therefore, we have;

[tex]y_{max}[/tex] = -16 × 2² + 64 × 2 + 16 = 80 feet

The maximum height reached by the projectile, [tex]y_{max}[/tex] = 80 feet.

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

I don’t know how to measure the angles

Answers

Answer:

the measure of the angle is 130°

Step-by-step explanation:

50 and ? are supplementary angles

supplementary angles add up to 180

50 + ? = 180

subtract 50 from both sides of the equation

50 + ? - 50 = 180 - 50

? = 180 - 50

? = 130

In a class of 25 pupils, 8 cannot swim. What percentage of the class can swim?​

Answers

Answer:

12 i think im not exactly shore

Step-by-step explanation:

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. AAS
B. ASA
C. HL
D. Not enough information

Answers

Answer:

Hypotenuse leg

Step-by-step explanation:

Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Answer:

HL im sorry if im  wrong

Step-by-step explanation:

please mark brainleast

A building casts a 16 ft shadow. A six foot man standing next to the building casts a 2.5 ft shadow. How tall is the building? (show your work)

Answers

Answer:

the building is 38.4 feet tall

Step-by-step explanation:

because the ratio for the man is 6:2.5 and the building is x:16

so x = 38.4

RS has endpoints at R(1, 2) and S(1, 6). Find the midpoint M of RS. Write the coordinates as decimals or integers. M=CC,​

Answers

Answer: The midpoint will be at M (1,4)

what is the smallest number in which 480 must be multiplied to make it a perfect square​

Answers

Answer:

30 is the smallest number

what is the degree of -2xy³

Answers

Cubed or to the three is correct

(HELP PLZZZ 13 points)

A triangle has two sides of lengths 5 and 13. What value could the length of
the third side be? Check all that apply.
A. 10
B. 19
C. 24
D. 8
E. 5
F. 2

Answers

5? Bc two sides have to be the same length? Right?
I believe the answer is F

I need help with this question
8x4=(x times 7) - (x times 3)

Answers

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

8 x 4 = (xtimes⋅7) − (xtimes⋅3)

A shopper needs 48 hot dogs. The store sells identical hot dogs in 2 differently sized packages. They sell a six-pack of hot dogs for $2.10, and an eight-pack of hot dogs for $3.12. Should the shopper buy 8 six-packs, or 6 eight-packs?

Group of answer choices

A. He should buy 6 eight-packs because the unit rate is 39 cents per bun.

B. He should buy 6 eight-packs because the unit rate is 37 cents per bun.

C. He should buy 8 six-packs because the unit rate is 35 cents per bun.

D. He should buy 8 six-packs because the unit rate is 33 cents per bun.

Answers

Answer:

C

Step-by-step explanation:

A six back has a value of 35 cents per bun,

you may find this by dividing 2.10 by 6  and getting .35 per

while a 8 pack 3.12 divided by 8 is .39

so it is more economical or correct to get C. 8 six packs for 35 cents a bun

Here are three different recipes for Orangey-Pineapple Juice. Two of these mixtures taste the same and one tastes different. Which two recipes will taste the same, and which one will taste different? Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Answers

Answer:

recipe 1 and recipe 2 will taste the same because they have the same ratio while recipe 3 will taste differently because it has a different ratio.

Step-by-step explanation:

Here are three different recipes for Orangy-Pineapple juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? explain or show your reasoning.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Ratio of orange juice to pineapple juice = 4 : 6

= 4 / 6

= 2/3

= 2 : 3

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice.

Ratio of orange juice to pineapple juice = 6 : 9

= 6 / 9

= 2 / 3

= 2 : 3

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Ratio of orange juice to pineapple juice = 9 : 12

= 9 / 12

= 3 / 4

= 3 ; 4

Therefore, recipe 1 and recipe 2 will taste the same because they have the same ratio while recipe 3 will taste differently because it has a different ratio.

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