6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?

A. 80 hours

B. 900 hours

C. about 1.78 hours

D. 2.25 hours

Answers

Answer 1

Answer:

C. about 1.78 hours

Step-by-step explanation:

Answer:

1.78 hours

Step-by-step explanation:

If t varies inversely with the speed, the formula for that is  t= \frac{k}{r} .  If t = 2 and r = 40, then we can solve for k, the constant of variation.  Multiply both sides by 40 to get  k = 80.  Now we need to find the value for t when r = 45.  Using the k value we just solved for, we will fill in the equation as  t= \frac{80}{45}   for a t value of about 1.78 hours

...............................................................................................................................................

Answer: about 1.78 hours

...............................................................................................................................................

t = k/r

2 = k/67

k = 134 (which happens to be the distance)

t = 134/r

t = 134/55

t = 2.436 hours

...............................................................................................................................................

The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours

...............................................................................................................................................

t = k/r\

4 hours and 35 miles per hour,

we find that k = 140.

Now use that 140 in another equation to solve for t:

t = 140/45, and

t = 3.1 hours


Related Questions

Factor 20t + 35
I don't understand how to factor ​

Answers

55t it’s easy just add

Answer:

5(4t + 7)

Step-by-step explanation:

1) notice the 20 and 35 are both divisible by 5

2) factorise using 5

5(4t + 7)

Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}

Answers

Answer:

[tex]\frac{11x}{3y}[/tex]

Step-by-step explanation:

[tex]\frac{7x}{3y} + \frac{12x}{9y}[/tex]

To add the two fractions, you need a common denominator.  In this case, the lowest common denominator (LCD) is 9y.  That's because 9y is divisible by both 3y and 9y.

The first fraction must be changed so that its denominator is 9y.  Do this by multiplying both numerator and denominator by 3.

[tex]\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}[/tex]

Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​

Answers

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.

Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.

25-3=22

22/55

when simplified: 2/5

help
What is the domain and range of the exponential graphed below?

A.Domain: All real numbers
Range: y > -4


B.Domain: All real numbers
Range: All real numbers


C.Domain: x > 0
Range: y < -6


D. Domain: All real numbers
Range: y > 0

Answers

Answer:

B

Step-by-step explanation:

I just did the test

The range and domain of the function exists on all real values

Domain and Range of functions

Domain of a function is the value of the input of graph for which the function exists.

The range of a function is the value of the output of graph for which the function exists.

The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values

Learn more on range and domain here: https://brainly.com/question/2264373

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

Answers

Ta furie le Wola t in fatiguer

Find the measure of angle G

Help ASAP

Answers

Hello it’s 170 have a nice day

Choose the correct discriminant, then
write the type and number of roots that it
indicates in the blank provided.
3x + 6 = -6x2

Answers

Answer:

3

Step-by-step explanation:

Order of Operations; PEMDAS  

Parentheses  

Exponents  

Multiplication & Division (Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.  

Addition & Subtraction (Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.

3x+6 =

(9+6=15)

(6x2=12)

(12-15=3)

HELPPPPZ WORTH 30 POINTS AND BRAINLIEST

Answers

Answer:

1. 49000

2. 5680

3. 0.508

4. 860

5. 4.83

6. 0.227

7. 2900

8. 4.873

9. 1.992

10. 0.043

11. 41000

12. 0.58

Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.


What is the equation that represents his remaining balance?

Answers

Answer:

Step-by-step explanation:

x=20(.75)+2+10 (or 12 if it says that)

Answer:

The linear equation that represent the situation is [tex]x=20-0.75(10+2)[/tex]

The remaining balance on his gift card is $11

Step-by-step explanation:

Let x represent the remaining balance.

We know that the linear equation that represent the situation is equal to[tex]x=20-0.75(10+2)[/tex]

Solve

[tex]x=20-0.75(12)[/tex]

[tex]x=20-9[/tex]

x=$11

BRO PLEASE HELP I NEED THIS STUFF IN AN HOUR PLEASE...

Answers

Answer:

They Have The Same Y-Intercept.

Function 2's y-intercept is -5.

Function 1 y-intercept could be found by inputting 0 as r.

p=0-5

p=-5

Meaning, they're equal.

line segment CD has coordinates C(-1,9) and D(-7,1). If line segment EF is parallel to line segment CD, what is the slope of line segment EF?

Answers

Answer: Slope of segment EF is -4/3

Answer:

The answer is -3/4

Step-by-step explanation:

:)

Find the missing term in this
geometric sequence:
13, [?], 208

Answers

208 divided by 13 = 16
You are multiplying by 4 each time so the second term is 13 x 4 which equals to 52

Answer is 52

#2

Please helppp
Extra 100 points

Answers

Answer:

Step-by-step explanation:

C looks good

Maths: A motorist covers 3km in 4minutes.what is his average speed in ms-1?​

Answers

Answer:

0.75m/s

Step-by-step explanation:

speed = d/t

Determine the function that models the median home price, f (n), in thousands of dollars, n years since
2010.
f(n) =

Answers

I need help

.........:...:..:............


helppppppppppppppppppppppppppppppp

Answers

Answer:

b

Step-by-step explanation:

When two parallel lines are cut by a transversal, _______________________ angles are supplementary

A.Corresponding angles

B. Alternate interior angles

C, Alternate exterior angles

D.Same side interor angles

Answers

Answer:

When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.

Step-by-step explanation:

Prove or disprove the figure defined by points A, B, C, d is a rhombus

Answers

Answer:

It is not a rhombus, because all the internal angles are equal.

Step-by-step explanation:

A rhombus is a figure that has four sides of equal length, and 2 internal angles that are smaller than the other two internal angles.

First, let's look at figure ABCD.

We can see that all the sides have equal length by just counting the number of squares that each side takes (each side is 12 units long)

So now we need to see the angles.

Remember that if two lines are perpendicular, then the angle formed by those two lines is exactly 90°.

We can see that the segment BC is horizontal  (the y-value of B is the same than the y-value of C)

While the segment CD is vertical (the x-value of C is the same than the x-vale of D)

Then one segment is horizontal, and the other is vertical, which means that the segments are perpendicular, thus the angle C is 90°.

Now we can do the same for segments CD and DA

We already know that CD is a vertical segment.

For segment DA we can see that the y-value of D is the same as the y-value of A, then this segment is horizontal, this means that segments CD and DA are perpendiculars, which means that D = 90°.

Because DA is parallel to BC, and CD is parallel to BA, we can conclude that:

A = 90°

B = 90°

Then all the angles are equal, so this is not a rhombus. (it is a square)

does anyone know how to do any of this??????????

Answers

Answer:

is that math or something calculation?

simplify using laws of exponents. Write your asnwer using positive exponents​

Answers

Answer: look at image below. it shows you the steps

Step-by-step explanation:

Hope this helped :)

Can someone help me with this question ASAP

Answers

Answer:

D

Step-by-step explanation:

Answer:

the answer is: parallelograms are quadilaterals

Can you please help me

Answers

Answer:

I would say that D is the correct one


giving brainliest

please help

Answers

Answer:

17 pt

Step-by-step explanation:

Cause 8 quarts= 16 pt and i added 1 pint to it so its 17 pints

Remember 1 quart = 1 pint

Have a good day!

the answer is 17pt, good luck

Making a _________________________ is a one way to compose two functions.

Answers

Answer: making a composition is a one way to compose functions

Step-by-step explanation:

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in: 3 hours

Answers

Answer:

26 miles

Step-by-step explanation:

8 2/3 × 3 =26miles

hope this helps

Answer:

24 and 2/3

Step-by-step explanation:

If 3(2x) - 4(3x) + 3 = 0. Find the possible values of x

pls help​

Answers

Answer: x=1/2=0.5

Step-by-step explanation:

Given

3(2x) - 4(3x) + 3= 0

Expand parenthesis

6x - 12x + 3 = 0

Combine like terms

-6x + 3 = 0

Subtract 3 on both sides

-6x + 3 - 3 = 0 - 3

-6x = -3

Divide -6 on both sides

-6x / -6 = -3 / -6

x = 1/2 = 0.5

Hope this helps!! :)

Please let me know if you have any questions

Find the area of each parallelogram or triangle

Answers

Answer:

Step-by-step explanation:

Data Set [ 146, 161, 114, 178, 150, 134, 172, 131, 128]. Find the Range

Answers

Answer:

64

Step-by-step explanation:

Organize the #s from small to big.

When trying to find range you take the MAX # - MIN #

The MAX # = 178

The MIN # = 114

178 - 114 = 64

A used-car salesperson purchased
a car for $4000 and sold it for 40%
more. What was the selling price of
the car?

Answers

Answer:

5,600 dollars he sold it for

Step-by-step explanation:

Basically if you cross multiply, you'll do 4,000 times 40. Then divide what you get from multiplying by 100, so do 160,000 divided by 100 in this case. Then when you get that 1,600, it isn't the final step. Lastly, you'll have to add 1,600 on to 4,000 to get the markup selling price. :)

HELP ILL GIVE BRAINLIEST PLEASE I NEED TO PASS MY TEST

What kind of reflection do you need
to perform to reflect a point from
the first quadrant to the second
quadrant?

Answers

You need a reflection across the y-axis!

Reflection across Y axis

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