plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer 1

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:


Related Questions

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).
Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?

(4, 2)
(2, 4)
(–4, –2)
(–2, –4)
In the diagram, the length of segment QV is 15 units.

Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?

4 units
11 units
14 units
15 units

Answers

14 units did it and got it right

A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!

Answers

Answer:

B Find the next two terms If it is geometric

Identify the slope from the table

NEED HELP PLEASE thank you sb

Answers

The slope is -4 or c on the table

Answer:

-4

Step-by-step explanation:

‘X’ adds by one while ‘y’ adds by -4

If the height of a falling object after a certain amount of time is given by the equation ​, which of the following is​ true?
A.) t must be greater than or equal to 16.
B.) t must be greater than or equal to 0.
C.) h must be greater than or equal to 500.
D.) h must be less than or equal to 0.

Answers

Answer:

B

Step-by-step explanation:

Time can't go backwards

Paula ran 3 1/4 kilometers. Omar ran 4,200 meters. Who ran farther and by how much?

Answers

Answer:

Omar ran farther

Step-by-step explanation:

Paula ran 3250 meters and Omar ran 4200 meters. Omar ran 950 more meters than Paula

omar because 3 1/4 meters is the same as 3250 meters so then

4200>3250 so omar did more

"Nine more than three times a number is negative six"

what is the answer?​

Answers

I'm sorry I have No clue

Step-by-step explanation:

lol but I honestly d0n7 kno

2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram

Answers

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

5⋅7⋅4=5⋅4⋅7
is that
associative property of multiplication or is it
commutative property of multiplication

Answers

Answer:

Commutative property of multiplication is shown above. This is because no matter how you put them, the answer will still be 140  

HOPE THIS HELPS TOUCH THANK FOR ME PLEASE

A car travels 30 1/5 miles in 2/3 of an hour. What is the average speed of the cat in mph?

Answers

Answer:

45.3 miles/h

let 'x' be the speed of the car. Hope this will helps:)

Step-by-step explanation:

It’s gonna be 45.3 mph your welcome

Richard is selling bundles of wood. The total weight of the wood he is selling is 6,165 pounds, and there are 90 bundles. If each bundle weighs the same, how much does one bundle of wood weigh?

Answers

Answer:

each bundle weighs 68.5 lb

Step-by-step explanation:

6165/ 90

If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?

-Please help me

Answers

ax-8y=15
a(3)-8(0)=15
3a=15
a=5


Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.

Answers

Answer:

61

Step-by-step explanation:

7×6 = 42

42+ 19 = 61 Sorry if I'm wrong I tried


Two of the side lengths of a triangle are 19 cm and 29 cm. If the third side
length is also an integer, what is the largest length it could be?

Answers

Answer:

47

Step-by-step explanation:

Solve the following to find the quotient, 6.42 ÷ 3 =

Answers

Answer:

2.14

Step-by-step explanation:

Answer:

2.14

Step-by-step explanation:

hope this helps

Plz mark brainliest :)

Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts. How much cracked corn does Alaina need to make 5 lb of birdseed mix? Show your work.

Answers

Answer:

2 1/3+5/6+1/6= 3 1/2

Step-by-step explanation:

Change your denominator to 6 and add then reduce if possible

A ratio of 3 erasers and 6 pencils could be expressed as 3:6. If the number of erasers is represented by white circles and the number of pencils is represented by black circles, which is a correct representation of the ratio?

Answers

Answer:

It'd be C.

There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2

So the third representation would be the one that made the most sense.

Answer:

Option 3

Step-by-step explanation:

Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.

Help me please please

Answers

Answer:

Step-by-step explanation:

i have no idea what to do

Solve the equation below and record solution.
Example Solution: x = ______
35 = 1.5x - 10

Answers

Answer:

x=30

Step-by-step explanation:

Let's solve your equation step-by-step.

35=1.5x−10

Step 1: Flip the equation.

1.5x−10=35

Step 2: Add 10 to both sides.

1.5x−10+10=35+10

1.5x=45

Step 3: Divide both sides by 1.5.

1.5x÷1.5=45÷1.5

x=30

I think the Answer is : X= 30

3n+14=-4 =?
Please do this this right (my grade depends on it)

Answers

Answer:

Step-by-step explanation:

-6

subtract 14 from both sides
3n = -18
divide both sides by 3
n = -6

Alonso paid for repairs on his car, and 3
5
of the bill was for labor costs. How much was the total bill if the cost of the labor was $79.50? Let b = the amount of the total bill.

Which equation and solution is correct?
Five-thirds b = 79.50, and the total bill was $47.70.
Three-fifths (79.50) = b, and the total bill was $127.20.
Five-thirds b = 79.50, and the total bill was $212.00.
Three-fifths (b) = 79.50, and the total bill was $132.50.

Answers

Answer:

The answer to you question is D or the last one.

Step-by-step explanation:

I took the test on Edg

The equation that represent this situation is (3/5) * b = 79.50

Equation

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.

For a labor of $79.50

(3/5) * b = 79.50

The equation that represent this situation is (3/5) * b = 79.50

Find out more on Equation at: https://brainly.com/question/13763238

Write an expression that is equivalent to 27e + 24.​

Answers

Answer:

3 (9e + 8)

explanation:

3 x 9e = 27e

and

3 x 8 = 24

Both are multiplyed by 3 so your first number is

3 ( ?e + ?)

then the 2ed has e beside so i know thats 9

3 ( 9e + ?)

The final one is 8. 3 x 8 = 24 so there is 24 in the question so the last is 8

3 (9e + 8)  

3(9e+8) is the  expression that is equivalent to 27e + 24.​

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find the equivalent fraction of 27e + 24.​

For this let us find the factors of 27 and 24

Factors of 27 are 1,3,9,27

Factors of 24 are 1,2,3,4,6,8,12,24

The greatest common factor is 3.

So in the expression 27e+24 take 3 as common

3(9e+8)

Hence 3(9e+8) is the  expression that is equivalent to 27e + 24.​

To learn more on Expressions click:

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True or False:
If you have an odd number of negative factors your answer will be negative. *
<3

Answers

Answer:

It's true,

I'm sure about it

4x2
4x + 10 and 2x2 + 5x – 8.

Answers

Answer:

14x , -4+5x

I hope this helps

have a fantastic day

Need help with hw due in less than a hr!

Answers

Sure I can help with it

I need help with math homework

Answers

Answer:

A. (1, 2) and (4, 3)

B. Slope (m) = ⅓

C. y - 2 = ⅓(x - 1)

D.[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. [tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

Step-by-step explanation:

A. Two points on the line from the graph are: (1, 2) and (4, 3)

B. The slope can be calculated using two points, (1, 2) and (4, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 1} = \frac{1}{3} [/tex]

Slope (m) = ⅓

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, 2), and m = ⅓ into the point-slope equation, y - b = m(x - a).

Thus:

y - 2 = ⅓(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 2 = ⅓(x - 1)

3(y - 2) = x - 1

3y - 6 = x - 1

3y = x - 1 + 6

3y = x + 5

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

E. Convert the equation in (D) to standard form:

[tex] y = \frac{1}{3}x + \frac{5}{3} [/tex]

[tex] -\frac{1}{3}x + y = \frac{5}{3} [/tex]

3. If Ted is making monthly payments of $77 on a loan of $4,000 for 5 years;
approximately what percent interest is he paying?
$

Answers

answer: about 1.93%
hope this helps

The percent of interest is he paying is,

⇒ R = 4.62%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

Learn more about the percent visit:

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Answer all these questions, please I will give brainlist:)

Answers

Answer:

hERE BRUDDA

Step-by-step explanation:

5) Tyra went to the movies and bought a coke for $1.25, popcorn for $4.25 and peanut butter M&Ms for $3. How much did Tyra spend in I​

Answers

Tyra spent $8.5 i think

Which expression is equivalent to 6n - 24?*
8n - 10+14
3/4 (8n - 32)
-2(-3n - 12)
O 10n - 12 - (4n - 12)

Answers

Answer:

-2(-3n - 12)

Step-by-step explanation:

A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.

Answers

Answer:

Number of calls expected in next week by manager = 7940

Average Number of calls that call center agent will attend in an hour =7 calls

It is also given that, Call center remain open for 10 hours 5 days a week.

Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week  ,Part time agents work 20 hours a week but are only on calls 17 hours per week .

⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940

⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940

Option A

⇒35×15×7+17×7×15

= 3675+1785

= 5460

Option B

⇒35 ×7×20+17×7×7

=4900 +833

= 5733

Option C

⇒35×20×7 +17×20×7

=4900+2380

=7280

Option D

⇒25 × 35×7+17×7×5

=6125 +595

=6720

Option E

⇒28×35×7+17×7×10

=6860+1190

=8050

Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.

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