The faster you drive the less time it takes to reach your destination (a driver's speed is inversely proportional to the drive time). Mike takes 45 minutes to
travel from point a to point b at 60 miles and hour. Kelly takes the same trip at 80 miles an hour. How long does the trip take Kelly? (Round to the nearest
whole number)

Answers

Answer 1

Answer:

The time the trip takes Kelly is approximately 34 minutes

Step-by-step explanation:

The topic examined by the question is the relationship between speed, distance traveled, and time which is presented here as follows;

[tex]Speed, \ S = \dfrac{Distance \ travelled \ 'd'}{Time \ taken \ 't'}[/tex]

The given parameters of the journey are;

The time it takes Mike to travel from point 'a' to point 'b' = 45 minutes

The speed with which Mike travels = 60 miles an hour

The speed with which Kelly travels the same trip = 80 miles an hour

Let 'd' represent the distance from point 'a' to point 'b', and let 't' represent the time the trip takes Kelly

For Mike, we have;

S = d/t

∴ d = S × t

Where;

S = 60 miles per hour

t = 45 minutes = 0.75 hour

d = 60 miles/hour × 0.75 hour = 45 miles

The distance from point 'a' to point 'b' = d = 45 miles

Similarly, from S = d/t, we have for Kelly the time 't' given as follows;

t = d/S

Where;

S = 80 miles/hour

d = 45 miles

∴ t = 45 miles/(80 miles/hour) = 9/16 hour = 9/16 hour × 60 min/hour = 33.75 minutes

The time the trip takes Kelly = 33.75 minutes ≈ 34 minutes.


Related Questions

helppp! doing test!!

Answers

Answer:

Can you show more of the question?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Basically, division. divide 85.60 by 4 in order to get each hour.

the triangles below are similar. find the value of the variable m

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

:) Have a good day!

Tommy makes $200,000 per year. Tommy's monthly taxes are 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes. What is Tommy's monthly Take Home Pay?

Answers

Answer: $‭13,925‬

Step-by-step explanation:

Tommy makes $200,000 per year.

He then has to pay taxes of 10% for Federal Income Tax, 4.2% for Social Security Tax, 1.75% for Medicare Tax, and 0.5% for Local Taxes.

His total taxes are therefore:

= 10% + 4.2% + 1.75% + 0.5%

= 16.45%

Taxes in dollars are:

= Monthly salary * taxes

= (200,000/12 months) * 16.45%

= $2,741.67

Monthly take home pay:

= Monthly salary - monthly tax

= 200,000 / 12 months - 2,741.67

= 16,666.67 - 2,741.67

= $‭13,925‬

Which expression is equivalent n + n - 0.24n?​

Answers

Answer:

Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n

given that x is an odd integer and 2y is an even integer which of the following must be true

Answers

Answer:

K

Step-by-step explanation:

K

Hope that helps!

If x is an odd integer and 2y is an even integer then K. 2y  x is odd.

What are some concepts related to arithmetic operations of odd and even numbers?

Odd + Odd = Even.

Odd + Even = Even + Odd = )dd.

Even + Even = Even.

Odd × Odd = Even.

Even × Even = Even.

Odd × Even = Even × Odd = Odd.

Odd ÷ Odd = Even.

Even ÷ Odd = Even Or Odd.

Odd ÷ Even = Fraction/Decimal.

Given, x is an odd integer and 2y is an even integer.

So, y can be even or odd we are not sure.

Therefore, the only option that must be true is 2y + x is odd.

learn more about odd and even numbers here :

https://brainly.com/question/28721864

#SPJ2

Find the slope of the given point.
(19,3) (20,8)

Answers

Answer:

5

Step-by-step explanation:

as x goes up one y goes up 5

slope is change in y over changes in x

5/1=5

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.

On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.

How was triangle A translated?
four units left
four units right
six units left
six units right

Answers

Answer: D is correct

Step-by-step explanation: Got a 100% on my test

The translation of triangle A is (d) six units right

The translation from triangle A to B

Translation involves changing the position of a shape

From the question, we understand that:

Triangle A represents the pre-imageTriangle A is shifted to the right by 6 units

This means that, triangle A was translated by 6 units to the right

Hence, the true statement is (d)

Read more about translation at:

https://brainly.com/question/4289712

When a number is added to itself the result is 49.​

Answers

Answer:

24.5

Step-by-step explanation:

24.5 + 24.5 = 49

What is the lowest common denominator of the following two fractions?

1/9 and 1/6

Answers

Answer:

18

Step-by-step explanation:

Name the central angle of the given arc.

Answers

Fe hi
This is the answer

Which algebraic expression is equivalent to the expression below? ( t/3 + 12) + (t/9 + 6)

Answers

Answer:

4t/9 + 18

Step-by-step explanation:

What is the volume of the right triangular prism shown?

get it right for brainlist

Answers

Answer:

V = 567 yd³

Step-by-step explanation:

V = [tex]\frac{1}{2}a c h\\[/tex]

V = [tex]\frac{1}{2}(9)(6)(21)\\[/tex]

V = 567 yd³

ABCD is a parallelogram. solve for x
a) 2
b)22
c)24
d)48

Answers

Answer:

b) 22

Step-by-step explanation:

180 = (4x+12) + (3x+14)

180 = 7x + 26

7x = 154

x=22

13 points so please help meee with a and b!

Answers

Answer:

(a)

$24.10,

$18.20,

$15.25,

$9.35,

$0.50,

(b)

b=30-2.95g

Step-by-step explanation:

Answer: a) 2:24.10 4:18.20 5:15.25 7:9.35 10:.50

b) b=30-2.95g

A new barber shop just opened up in your neighborhood. You can buy two haircuts for $10 or six haircuts for $22. Is the cost a proportional or non-proportional relationship?

Answers

Answer:it is non proportional

Step-by-step explanation:

Will mark brainliest and rate 5/5 if answered right.

Answers

Answer:

a. [tex]s^2 - \frac{1}{4}s^2\pi[/tex]

b. [tex]100-25\pi[/tex]

Step-by-step explanation:

The shaded area is the area of the square minus the area of the circle, so it is [tex]s^2 - \frac{1}{4}s^2\pi[/tex], because s is the diameter of the circle. Filling in s = 10 gives us that the shaded area equals [tex]100-25\pi[/tex].

Write a small statement to convince others of the importance of food safety

Answers

Answer:

Food is what fuels our bodies. Food is what keeps us alive, but when food is not kept fresh and safe, it can cause us to get sick or even die from food poisoning.

i honestly forgot how to solve this ​

Answers

Answer:

c must be -4

Step-by-step explanation:

x^2 - 5x + c = 0 is a quadratic whose coefficients are a = 1, b = -5 and c = c.

The discriminant is b^2 - 4ac, and we know that b^2 - 4ac = 41.

Substituting -5 for b and 1 for a, we get:

(-b)^2 - 4(1)(c) = 41, or 25 - 4c = 41, or -4c = 16.  Thus, c must be -4, and the quadratic is

x^2 - 5x - 4

I need help fast



The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary's seat is located at the point (- 4, 7) and Betty's seat is located at (- 2, 5) . How far is it from Mary's seat to Betty's seat?

Answers

Answer:

2.83 units diagonally

2 units horizontally and 2 units vertically

Step-by-step explanation:

x position difference      -2-(-4)=2

y position difference       7-5=2

2 units horizontally and 2 units vertically on a graph

2^2+2^2=8

sq rt 8=2.83 units

Which equation represents a proportional relationship?



y = 5x + 1

y=−5(x+1)

y=
1
5x


y=−x

Answers

y=-5(x+1) is proportional you can simply find this out by going to desmos and it’ll allow you to input an equation and you can see how it aligns

the wavelength of yellow light in a spectrum is about 0.000002 inches​

Answers

Answer:

the answer is C:

[tex]2 \times 10 { - }^{4} [/tex]

Step-by-step explanation:

I hope this helps! ^^

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Four divided by what number equals 12?

Answers

Answer:1/3

Step-by-step explanation:

Answer:

1/3 or 0.3333

Step-by-step explanation:

[tex]\frac{4}{x} =12[/tex]

[tex]4 = 12x[/tex]

[tex]x= \frac{4}{12} = \frac{1}{3}[/tex]

Four divided by 1/3 equals 12.

Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY

Answers

What he said


Hope this helped

Hi! hope youre having a nice day! i was just wondering if you could make my day nice? pleaseeee! its very simple but ive been struggling. thank you so much! and i hope its enough points for you! and please no scams!

Answers

Answers:

11. b. 4x + 2

12. c. 25(x + 2)

13. b. 8gh

14. a. 10(5x + 1)

15. a. 2x + 2

16. c. 4 units by (2x - 3)

17. c. 6(x + 10)

18. c. 5r + 35

19. b. Identity Property of Addition

Brainliests are always appreciated but not required :)

Answer:

11.

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

x+3x+4-2

4x+2

12.

25x+50

25(x+2)

13.

16gh, 56gh

8gh

14.

50x+10

10(5x+1)

15.

(14x-2)-(12x-4)

14x-2-12x+4

2x+2

16.

8x-12

4(2x-3)

17.

6x+60

6(x+10)

18.

5(r+7)

5r+35

19.

This demonstrates the Identity Property of Addition, which basically states that adding zero to a number does not change the number.

Let me know if this helps!

 

The area of a rectangle is at most 400 square centimeters. Write an inequality to represent the possible values for the height, h, for the height. The length is 16cm for one side

Answers

Answer:

1ft≤h≤25ft

Step-by-step explanation:

The area of a rectangle is expressed as;

Area = Length * height

A = Lh

If the area of a rectangle is at most 400 square centimeter, this is expressed as;

A ≤400

≤ means at most i.e it can not be greater than 400

Lh ≤ 400

Given L = 16

16h ≤ 400

h ≤ 400/16

h ≤ 25

Hence the possible values of the height are with the range 1ft≤h≤25ft since the dimension can not be negative

The size of each interior angle of a regular polygon is 11 times the size of each exterior angle. Work out how many sides the polygon has. (just give the number)

Answers

Answer:

24

Step-by-step explanation:

What is the independent and dependent variable in this problem?

Answers

Answer:

The height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.

Step-by-step explanation:

We know that the function

y = f(x)

where y is a function of x.

Here:

The input variable 'x' is called the independent variableThe output variable 'y' is called the independent variable because the value of output y depends upon the value of the input 'x'.

Given the function of the height of the ball as a function of time is modeled by the equation

h(t) = -16t² + 90t + 5

As the height of the ball depends upon the time as the height of the ball is a function of time.

Thus, the height (h) of the ball is termed as the dependent variable and the time (t) is called the independent variable.

Find the value of x so that the function has the given value.

n ( x ) = 4x + 15; n ( x ) =7


plz help

Answers

Answer:

n(x)=4x+15;n(x)=7

n(7)=4(7)+15

=》n(7)=28+15

28+15=43

n(7)=43

7=4x+15
-8=4x
x=-2

hope this helps !

Which point is labeled at (-2, 3)?

Answers

Answer:

G

Step-by-step explanation:

if you glance at -2 and go up positive three

Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.

(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?

Answers

Answer:

(a).4.36 mph

(b) No

Step-by-step explanation:

We are given that

Jan covered distance,s1 =2 miles

Speed of Jan, a=3 mph

s2=1 mile

b=8mph

a.

We have to find the Jan' s average speed for the entire trip.

Average speed =[tex]\frac{2ab}{a+b}[/tex]

Using the formula

Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]

b.

Average speed with two speed

Average of Jan’s two speeds

[tex]=\frac{a+b}{2}[/tex]

=[tex]\frac{3+8}{2}=5.5 mph[/tex]

[tex]4.36\neq 5.5[/tex]

Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.

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