The distance between two cities is 180 km. The distance was
covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a
truck at 40 km/h, and a by a bicycle at 25 km/h. What is the constant of
variation?

Answers

Answer 1

Answer:

Step-by-step explanation:

he distance between two cities is 180 km.

Speed = distance/time

v = s/t from this we can calculate for time  

Time = distance /speed

This distance was covered by a car at a rate of 50 km/h

Time taken by the car to cover this distance of 180km

= 180/50 = 3.6 hours  

This distance was covered by a bus at 45 km/h

 

Time taken by the bus to cover this distance of 180km

= 180/45 = 4 hours

This distance was covered by a truck at 40 km/h

Time taken by the truck to cover this distance of 180km

= 180/40 = 4.5 hours

This distance was covered by a bicycle at 25 km/h

Time taken by the truck to cover this distance of 180km

= 180/25 = 7.2 hours

Therefore:

speed and time are directly proportional.

Speed, s is inversely proportional to time, t

xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation

Introducing constant of variation, k  

s = k/t  

When s = 25, t = 7.2

25 = k/7.2

k = 7.2× 25 = 180

So

s = 180/k


Related Questions

How do you prove perpendicular lines are congruent?

Answers

Answer:

step below

Step-by-step explanation:

This is the graph it should be, I suppose you know how to solve it.

BD ⊥ AC       CE ⊥ AB

prove BD = CE

hint: Δ BEC ≅ Δ CDB

solve the problem (pls help fast)

Answers

The correct answer for this problem is

what are all the numbers through 10 and 100 that are divisible by 6 and 9

Answers

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3

Answers

k = 5 or k = 3
Hope it helps-,-

write an equation for the line that gose through the points (-2,6) and (2, 12)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line

Can u please help answer 9 and 10 please

Answers

Answer:

  9. 23

  10. D

Step-by-step explanation:

9.

In order to make the equation true, the blank must contain 23.

That statement, however, is an example of the commutative property of addition. The symmetric property says if a = b, then b = a.

__

10.

Your calculator can tell you which expressions are equivalent to 25·18. Clearly, the sum in choice D is not a product that will be equivalent.

I need as many digits of pi I can get.

Answers

Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

Step-by-step explanation:

Answer:

3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651 328230664709384460955058223172535940812848111745028410270193 852110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989

Step-by-step explanation:

These r the first 1,000 numbers but there are over 200 million numbers in pi.

hope this helps! Plz give brainliest!

If each quadrilateral below is a rectangle, find the missing measure.​

Answers

JMK = 54
JKH = 63
HLK = 90
HJL = 27
LHK = 54
JLK = 27
Hope this helps!

What is the length of side b?








Thank u

Answers

My guess is length of side B would be 12. This is my estimation, I remember a bit on how to do these but since it’s a triangle, I’m thinking the sides are going to be 1/2 of the base. In this case, the base is 24, so the sides should be 12.

Are these lines parallel explain?

Answers

Yes because parallel means two lines that never intersect

what is the answer
????

Answers

Answer:

The answer is 22 feet.hope you like answer

It costs Chevy $20,000,000 to develop and market a new model of a car. The company sells each car for $25,000, How many cars
must Chevy sell to make more than
$5,000,000 in profits?

Answers

Answer:

I believe it to be 1000 cars. Please look at solution to check if I did it the way your problem wants you to do it.

Step-by-step explanation:

Since Chevy needs to make 5,000,000 in profits, earns 25,000 per car, and had invested 20,000,000, we can set an equation with x being the number of cars:

5,000,000 = 25,000x -20,000,000

Notice how 20,000,000 is negative. This is because chevy starts with a negative amount of money (as they just spent it) and are wanting to earn it back. Anyway, lets solve this.

25,000,000=25,000x

x=1,000

we can see that chevy needs to sell more than 1000 cars to make a profit, however I'm unsure of the 25,000 part. This answer is assuming that they make 25,000 profit for each car.

. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
green. What part of Osteen's marbles are red?
A. 5/16
B. 9/16
C. 1/2
D. 2/3

Answers

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

Express the ratio below in its simplest form.
72
:
36

Answers

Ratio 72 : 36

72/36 divide by 36 = 2/1 = 2:1

Simplest form

[tex]72:36 = \dfrac{72}{36} = \dfrac{36 \times 2}{36} = 2:1[/tex]

Change 2.33 to a simplified fraction. Round to the nearest hundredth.

Answers

Answer: 233.00

Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:

What is the cube root of b^27?

Answers

Answer:

3 I believe im not 100% sure tho sorry if its wrong

What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10

Answers

it's C 0.03

0.03= 3%

0.30= 30%

3.00= 300%

the answer is c)0.03

What part of the coordinate plane is equidistant from the points A(-3,2)and B(3,2)?
explain the answer

Answers

It must be B (3, -2) to be equal

Describe the graph.
y=12x+2

Group of answer choices

Horizontal line that goes through the point (0,2).

Vertical line that goes through the point (2,0).

A line that goes through the point (0,2) that goes up one unit for every two units moving right.

A line that goes through the point (2,0) that goes up one unit for every two units moving right.

Answers

Answer:

It would be the last one!! Hope this helps

a line that goes through the point (2,0) that goes up on unit for every two unites moving right.

a/6 is greater than 1

Answers

Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!

Step-by-step explanation:

What is the solution to y=12

Answers

Answer:

y=12

Step-by-step explanation:

This equation cannot be simplified further.

Hope this helped! :)

What is the length of
BC
X + 9
2x - 8
Enter your answer in the box.
units
х
B
1

Answers

Answer:

17 units

Step-by-step explanation:

Because the triangle is isosceles, 2 of its sides are congruent; namely, the two sides that are opposite of the 2 congruent angles are contruent.

Because of the reason stated above, we can see that AC is congruent to BC, meaning that:

x+9=2x-8

-x      -x

9=x-8

+8  +8

17  = x

Notice that BC is equal to x, so 17 is our final answer.

tbh this question confusing the **** outta me​

Answers

Answer:

[tex]8^6[/tex]

Step-by-step explanation:

Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.

e.g:

[tex]2^2\cdot2^2=2^{2+2}=2^4\\(2^2)^3=2^{2\cdot3}=2^6[/tex]

Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:

[tex]2^{18}=(2^3)^x[/tex]

We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have:

[tex]8^6[/tex]

Find measure of <1

Answer ASAP!!

Answers

Answer:

105 degrees

Step-by-step explanation:

since both sides of a line will add up to 180 we must subtract 75 from 180 since we already have 75 on the triangle side we subtract and get 105

Answer:

here

Step-by-step explanation:

60⁰+45⁰+X=180

105⁰+X=180⁰

X=180⁰-105⁰

hence X=75⁰

Now

<1=60⁰+75⁰

=135⁰

Plz mark as brainlist

Thank you ™

can someone help me with this

Answers

Need more info to solve ur problems

easy one for you folks. show work.
who ate more?​

Answers

Answer:

Regan ate more

Step-by-step explanation:

maggie: 5/8 of pizza to start

eats  1/4 of 5/8

1/4 times 5/8 gives 5/32

regan: 7/12 of pizza to start

eats 2/3 of 7/12

2/3 times 7/12 gives 14/36 or 7/18

7/18 > 5/32

Answer: Reagan

Step-by-step explanation: because 2/3 is more than 1/4

What type of triangle is this?
6
3
8
acute
obtuse

Answers

answer: acute triangle (less than 90 degrees)
acute, less than 90 degrees

help pls please PLEASE​

Answers

Answer:

c

Step-by-step explanation:

it's really product of power


Can someone plzzzz help you have to enter the answer like this:26 but that is not the answer

Answers

Answer:

84 cm²

Step-by-step explanation:

Total surface consists of 2 right triangles and 3 rectangles.

Sum of their areas is the total surface area.

Area of 2 triangles:

A = 2*(1/2)*4*3 = 12 cm²

Area of 3 rectangles:

A = 6*(3 + 4 + 5) = 6*12 = 72 cm²

Total surface area:

S = 12 + 72 = 84 cm²

solve the following quadratic equation ​

Answers

27x^2 = 3

27x^2 - 3 = 0

3(9x^2 - 1 ) = 0

9x^2 - 1 = 0

( I think this is it- )

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