I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have arrived 25 minutes later. How many miles did I drive?

Answers

Answer 1

Step-by-step explanation:

x = number of hours driven

25 minutes = 5/12 hour

remember,

1 hour = 60 Minuten

5 minutes = 60/12 minutes = 1/12 hour

25 minutes = 5×5 minutes = 5/12 hour

x hours × 40 miles/hour = (x + 5/12) hours × 30 miles/hour

the dimensions "hour" eliminate each other from the top and the bottom of the fractions leaving only miles. and the miles must be the same either way.

40x = (x + 5/12)×30 = 30x + 150/12

10x = 150/12

x = 15/12 = 5/4 hours

40 miles/hour × 5/4 hours = 40×5/4 miles = 10×5 = 50 miles.

I drove 50 miles.


Related Questions

Find the distance between two points in the simplest radical form

Answers

The 2 points marked on the graph are :-

(2, 3) & (-7, -4)

Here,

=》x₁ = 2

=》y₁ = 3

=》x₂ = -7

=》y₂ = -4

Using distance formula....

√(x₂ - x₁)² + (y₂ - y₁)²

= √(-7 - 2)² + (-4 - 3)²

= √(-9)² + (-7)²

= √81 + 49

= √130 (in radical form)

= 11.4 (approx......in standard form)

♧ The distance between the 2 points is √130 units.

______

Hope it helps ⚜

The state of Colorado has 7 representatives in the U.S. House of Representatives. There are a total 435 representatives. What is the percentage of Colorado’s representation?

Answers

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

Mrs. Carol body toaster oven for 18 nine dollars sales tax is 7.75% what was the total including tax that she spent for the toaster oven

Answers

18 nine dollars? what do you mean

Simplify the expression (ab^2)*(-b^4a^3)^2​

Answers

if any doubt leave a comment below

If ur question has two “carries” in one as I see here the answer is: ab^8a+2

A photograph measures 15 cm by 20 cm. It is made smaller in the ratio 4:5 What are the dimensions of the new photograph?

HELP PLSS !!!!!

Answers

Answer:

12cm by 15cm

8cm by 10cm

4cm by 5cm

Step-by-step explanation:

it is made smaller so any values smaller than 15cm but in ratio of 4:5 can be answer

Answer:

15 cm is the new dimensions of new photograph

Step-by-step explanation:

initial dimension of shorter side = 8 cm

initial dimension of longer side = 10 cm

final dimension ofshorter side = 12 cm

finial dimension of longer side = x cm

The enlargement always ensure the aspect ratio

aspect ratio = lonter side/shorter side

equating, [tex]\frac{10}{8}[/tex] = [tex]\frac{x}{12}[/tex]

Solving for x,

10 × 12 = 8 × x

[tex]x = \frac{10 x 12 }{8} = \frac{120}{8 } = 15[/tex]

        /\

        that says 10 x 12

longer side is 15cm

(Hope this helps can I pls have brainlist (crown)☺️)

Write the number below as a fraction in its simplest form
0.41 recurring

Answers

Answer:

41/100

Step-by-step explanation:

Any decimal to a fraction would have to have a extra digit than the numerator also it has to start with 1 and the rest having to be a certain amount of 0's, 0.41 as a fraction fraction would be 41/100

congruent or simular

Answers

First is similar

∆XYZ and ∆MNO are congruent

Polygons are similar

The square one is congruent

First one on right side is similar

Rugs are similar

rectangles are similar

Bryce has $16 more than Corey. Both have a combined total of $50. How much money does Bryce have.

Answers

Answer:

$33

Step-by-step explanation:

Let the amount of money Corey has be $x.

Amount of money Bryce have= $(x +16)

Total amount= $50

$x +$(x +16)= $50

2x +16= 50

2x= 50 -16

2x= 34

Divide both sides by 2:

x= 34 ÷2

x= 17

Amount of money Bryce have

= $(17 +16)

= $33

Not sure how to do this.

Answers

Answer:

5ft into 7ft

Step-by-step explanation:

5ft to 7ft I hope I’m right

During a snowstorm, Noah tracked the amount of snow on the ground. When the
storm began, there was 1 inch of snow on the ground. For the first 4 hours of the
storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 2
hours and then started again at a constant rate of 2 inches per hour for the next 6
hours. Make a graph showing the inches of snow on the ground over time using the data that Noah created
data that Noah collected.
Click twice to plot a segment.
Click a segment to delete it.
25
24
23
22
ow on the Ground (Inches)
20
19
18
17
16
15
14
13
12
9

Answers

Answer:

ss the question

Step-by-step explanation:

In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to

Answers

Answer:

L is equal to 0.25.

Do you want me to put an explanation?

ratio 12:30 in the form 1:n

Answers

Answer:
1:2.5

Step by step explanation:
12:30
÷ by 12 each side
= 1:2.5

Hope this helps!

Evaluate. 2 (14–32 +1) 1:3.-​

Answers

Answer:

432

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

A 6 pound bag of grass seed covers 7,000 square feet. How many pounds would be needed to cover 23,000 square feet?

Write answer as an integer or a reduced fraction.

Answers

Answer:

Step-by-step explanation:

You can setup a proportion as follows:

 

4 lb = 9000 ft2

x lb = 25000 ft2

 

Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number

ple help me quick thank you:)​

Answers

Answer:

z> 5/4

To graph, use the open dotted line and put it at point 5/4 aka 1.25 going towards the right because it is greater than.

Step-by-step explanation:

Isolate your variable (z) by multiplying both sides of the equation by 5/3.

z> 5/4

Can someone help with question #4 please

Answers

Answer:

4,0 is the right ok I am a professor

A local hamburger shop sold a combined total of 387 hamburgers and cheeseburgers on Thursday. There were 63 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:

350 hamburgers

Step-by-step explanation:

Let x = the number of hamburgers sold

Let x - 53 = the number of cheeseburgers sold

x + x - 53 = 647

2x = 700

x = 350 hamburgers

If 20% of a number is 28 and 25% of the same number is 35, find 45% of that number.

Answers

answer: 63
explanation: 20% + 25% = 45% and 20%= 28
25%= 35
thus, 28 + 35 = 45% = 63

Roberto bikes for 5.2 hours and covers a distance of 49.4 miles. Eileen bikes for 2.5 hours and covers a distance of 20.5 miles.
Assuming both Roberto and Eileen bike at a constant speed, who was biking faster and by how much? Select from the drop down menus to correctly answer the question. Choose... bikes faster than Choose... by Choose... mi/h.

Answers

Answer:

Roberto bikes faster than Eileen by 1.3 mi/h

Step-by-step explanation:

Roberto bikes at 49.4/5.2=9.5 mi/h

Eileen bikes at 20.5/2.5=8.2 mi/h

9.5-8.2=1.3

So Roberto bikes faster than Eileen by 1.3 mi/h

A proportional relationship is shown in the table below

X 0 .3 .6 .9 1.2
Y 0 1 2 3 4

Answers

3.33 or 1/.3 is the answer

A line passes through the point (-2,6) and has a slope of 5/2 write an equation in slope-intercept form for this line

Answers

Answer:

y=5/2x+11

Step-by-step explanation:

write part of equation and apply

6=5/2(-2)+n

n=11

y=5/2x+11

!PLEASE HELP!

3/2 (7/3x+1) = 3/2

Show work. (simple if possible)

Giving Brainliest.

Answers

Answer:

x = 0

Step-by-step explanation:

[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]

To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex].  Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.

[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]

[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:

[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]

Next, we can subtract 1 from both sides to further simplify the left side:

[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]

Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left.  Anything multiplied by 0 = 0, so now we have:

x = 0

7/2x + 3/2 = 3/2 <=> 7/2x = 0 <=> x=0

Solve: y = -7(-13).

solve y

Answers

The negatives would cancel eachother out, so it would be y=7x13

Type that in a calculator it’s 91

Or you could do 7x10=70
7x3=21
21+70=91

Answer:

y = 91

Step-by-step explanation:

y = -7(-13)

=> y = 7(13)

=> y = 91

Write the equation of the line passing through points (-1,1) and (1,1).

Answers

Answer: x+1

Step-by-step explanation:

Answer:

Try x+1

Step-by-step explanation:

Hope it helps

() What is 4 divided by 9?

Answers

4/9 = 0.444444444444444

Answer:

9

Step-by-step explanation:

Calculate 1.015 to the power of 72

Answers

Answer:

2.92 rounded

Step-by-step explanation:

:))

2.92 is the answer if you round it, if you need the answer not rounded let me know.

you throw a football straight up into the air with a speed of 12.2m/s. How high those the ball go?

Answers

Answer:

7.6m

hope this helps :)

Q

1). 20² + 20^2

nt : I from is Indonesian ​

Answers

Answer:

[tex]\red{\rule{4pt}{700000pt}}[/tex]

Step-by-step explanation:

hi

Sum of three consecutive odd integers is 57. What are the three consecutive even numbers? Write an equation.

Answers

Answer:

17, 19 and 21

Step-by-step explanation:

17 + 19 + 21 = 57

Look at picture for question.

Answers

Answer:

A) - 3/7

B) -1/5

C) - 0.4

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

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