Sofia's family took a road trip to Mount Rushmore. Sofia slept through the last 65% of the trip. If the total length of the trip was 840 miles, how many miles had they travelled when Sofia fell asleep?

Answers

Answer 1

Answer:

546

Step-by-step explanation:

Sofia slept 546 miles and was awake for 45% which is 294 of the miles.

You can find this by finding 1%, and that would be 8.4. (You get 1% from dividing 100 from the 100% number.) Then you multiply it by 65 so now you get 546.

Answer 2

If the total length of the trip was 840 miles, then Sofia had traveled 294 miles before she fell asleep.

Given that,

If Sofia slept through the last 65% of the trip and the total length of the trip was 840 miles,

then she stayed awake for the first 100% - 65% = 35% of the trip.

Here, we have to calculate the distance she traveled before falling asleep, we can use the percentage of the total distance:

Distance traveled by Sofia = 35% of 840 miles

Distance traveled by Sofia = 0.35 * 840

Distance traveled by Sofia = 294 miles

So, Sofia had traveled 294 miles before she fell asleep.

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Related Questions

A bus route currently has an average of 1,275 riders per day. A transportation engineer estimates that there will be 5.7% more passengers riding the bus route next year and 6.5% more passengers the year after that. According to the engineer’s estimate, about how many passengers will ride the bus route two years from now rounded to the nearest whole?

Answers

1,275 x 1.057 = 1,347.675
1,347.675 x 1.065 = 1,435.27
rounded to the nearest whole would be 1,435 passengers.

Answer:

1,435 passengers

*Brainliest would be appreciated.

Step-by-step explanation:

please help me thanks

Answers

Answer:

A. 1.609344 km

B. 0.62137119 m

Step-by-step explanation:

A: one mile is exactly 1.609344 Kilometer
B: one kilometer is exactly 0.62137119 of a mile

What is the area of a parallelogram with a base of 0.80 cm and a height of 0.45 cm (to the nearest hundredths)?
A) 0.18 cm2
B) 0.36 cm2
C) 0.72 cm2
D) 1.25 cm2
Please Help/ ayuda

Answers

Answer: B

Explanation: Area of Parallelogram = Base X Height (A of P = b•h)

A of P = 0.80cm X 0.45 cm
=0.36cm2

Answer:b

Step-by-step explanation Explanation: Area of Parallelogram = Base X Height (A of P = b•h)A of P = 0.80cm X 0.45 cm=0.36cm2

can someone please do this fast

Answers

Answer: 2, 8, 96cm^2, 35 miles

Explanation:

What we know:

We need to solve all of the given problemsWe have the information we needWe can use ratios to our advantage

How to solve:

    By using our knowledge of ratios and substitution, we can solve these problems.

Process:

First problem

Set up ratio                                                             7.5:15

Find GCF                                                                (7.5:15)/7.5

Simplify                                                                   1:2

Solution:                                                                  2  

Second problem

Set up equation                                                     (x/10) = (6/7.5)

Rewrite                                                                   (x/10) = (60/75)

Simplify                                                                   (x/10) = (4/5)

Common denominator                                          (x/10) = (8/10)

Isolate variable                                                      [(x/10) = (8/10)]*10

Simplify                                                                    x = 8

Solution:                                                                  8

Third Question

where x represents the new width, y represents the new length, and A represents the new area.

Set up equation                                                    A = xy

Substitute                                                              A = (2*4)(2*6)

Simplify                                                                  A = (8)(12)

Simplify                                                                  A = 96

Solution:                                                                96 cm^2                                                      

Fourth Question

Where x represents the unknown length in miles

Set up equation                                                    (21:3) = (x:5)

Rewrite in fraction form                                        [(21/3)] /3 = (x/5)

Simplify                                                                   (7/1) = (x/5)

GCF                                                                        5(7/1) = (x/5)

Isolate variable                                                       [(35/5) = (x/5)]*5

Solution:                                                                  35 miles = x

Answer: 2, 8, 96 cm^2, 35 milesCheck:

Problem 1:

If the scale factor is 2, then the area of a square with the side measurement of 7.5 units should be (due to areas being squared) 1/2^2 of the square with the side measurement of 15 units. Let's solve this:

(1/2^2)(15*15) = (7.5*7.5)

(1/4)(15^2) = (7.5^2)

225/4 = 56.25

56.25 = 56.25

Therefore, a scale factor of 2 is correct.

Problem 2:

If x = 8, then 8/10 should equal 6/7.5. Let's solve this:

when x = 8:

8/10 = 6/7.5

0.8 = 0.8

Therefore, x = 8 is a correct solution.

Problem 3:

If a scale factor of 2 creates the new area of 96 cm^2, then the old area of (6*4) should be (due to areas being squared) 1/2^2 of the new area. Let's solve this:

(1/2^2)(96) = (6*4)

(96/4) = 24

24 = 24

Therefore, the new area is 96 cm^2.

Problem 4:

If the houses are 35 miles apart, then 3 in./21 mi. should be equal to 5 in./35 mi. Let's solve this:

(21/3) = (35/5)

7 = 7

Therefore, the houses are 35 miles apart.

Analisa recorded 83°, 87°, 90°, and 78° as the highest temperatures in her city for the month of October. She calculated a mean of 84.5° and a median of 85° for these temperatures. Which statement would describe the changes in the mean and the median if a temperature of 76° was then added to her list?

Answers

Answer:

it is the third answer

Step-by-step explanation:

A corner store sells 60-watt bulbs in packs of 4.

Write an equation that shows how the number of bulbs in stock, y, depends on the number of packages, x.

Answers

Answer: y = -4x + 60

Step-by-step explanation:

we can use a simple linear equation to write this problem:

y = mx + b

The slope is given to be the number of bulbs in each pack, which is 4.

now we have: y = 4x +b

The value of b is the y intercept, or the starting value, 60. From this value, 4x can be subtracted to show our remaining bulbs in stock:

y = 60 - 4x

Writing this in the form y = mx+b gives us the equation:

y = -4x + 60

Answer:

y = 4x

Step-by-step explanation:

A corner store sells 60-watt bulbs in pack of 4.

x = number of packs

y = number of bulbs

y = 4x

Check your answer using the problem:

60 = 4x

/4     /4

12 = x

This means that there are 12 bulbs in each pack.

Hope this helps!

This figure represents a prop for a play that will be built out of wood. The crew needs to build 4 of these props.

How much wood is needed to build all 4 props?

Enter your answer in the box.

ft²

Answers

Answer:

33600

Step-by-step explanation:

256 ft² wood will be needed for 4 props.

What is Surface Area?

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.

According to the figure,

The lengths are

= (5ft +8ft +7ft +2ft +3ft +5ft) x 2 x 4

= 32 x 2 x 4

= 256 ft²

Thus, 256 ft² wood will be needed for 4 props.

Learn more about Surface Area here:

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If each of the two complementary angles has the same measure, then each angle will equal _____.
A) 90°
B) 22.5°
C) 45°
D) 180°

Answers

Answer:

A

Step-by-step explanation:

two complementary that have the same measure angels always equals 90

that cost $5.20/lb with walnuts
that cost $6.40/lb. How many
pounds of each were used to
make a 45 pound mixture that
cost $6/lb?

Answers

Answer:

31.12

Step-by-step explanation:

I thinkkk it's right, Let me know if it's wrong and I'll check it.

hi i need help once again

Answers

If you need a step by step explanation please comment and tell me!

The complete table is given below.

2. 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.

3. To reach one mile: 0.33 hours, 0.36 hours, and 0.29 hours are the required time for Diego, Elena, and Andre respectively.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is traveling along a route.

Given:

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research.

They each walked at a constant rate, but their rates were different.

1. Complete table:

Time in hours    Miles walked by  Miles walked by  Miles walked by

                                       Diego              Elena               Andre

1                                   3                           2.75                     3.5

2                                   6                          5.5                       7

4                                   12                         11                        14

5                                   15                        13.75                   17.5

2. 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.

3. To reach one mile: 0.33 hours, 0.36 hours, and 0.29 hours are the required time for Diego, Elena, and Andre respectively.

4. Here, the graph is not given.

Therefore, 3 miles per hour, 2.75 miles per hour, and 3.5 miles per hour are the speed of Diego, Elena, and Andre respectively.

To learn more about the speed;

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In a coordinate plane, draw the figures with the given vertices. Which figures are similar? Explain your reasoning.

Rectangle A: (0,0), (4,0), (4,2), (0, 2)
Rectangle B: (0,0), (-6,0), (-6, 3), (0,3)
Rectangle C: (0,0), (4,0), (4,2), (0, 2)

Answers

Answer:

A C, but there isn't enough question part to this. Not sure what the question is

Step-by-step explanation:

plss hurry i have to finish this really soon

Answers

Answer:

equation 3 is correct

Step-by-step explanation:

Answer:

Number 3 is true.

Step-by-step explanation:

Equation 1 is 823543, so that is incorrect.

Equation 2 equals 1, wrong.

Equation 3 is 1/49. 7 multiplied by itself (7 x 7) is 49. This is correct

Equation 4 is 1/33232930569601, nowhere near the answer.

Please Help Me! I have test on Monday!

Answers

the answer is simple its 2/7

Answer:

The answer you get will be 2/7 or 4/14

To the nearest tenth, what is the area of a circle whose diameter is 4.4 feet?

Use 3.14 for π.

Enter your answer in the box.

ft²

Answers

Answer:

15.21= 15.2 when rounded

Step-by-step explanation:

the formula for finding the area of a circle with the diameter is
A= 1/4 × π ×d^2

Answer:

15.21

Step-by-step explanation:

In order to find the area, you must find the radius first.

The diameter (4.4) divided by 2 = radius (2.2)

The area of a circle is pi times the radius squared ([tex]A = \pi r^{2}[/tex]).

In this situation, r, or radius =2.2.

[tex]A = \pi 2.2^{2}[/tex]

[tex]\pi[/tex][tex]2.2^{2}[/tex]= the area, 15.2053084434.

By rounding to the nearest hundredth, you get 15.21. The second number after the decimal is your hundredths place. If the number after the decimal is 4 or less, just remove all of the digits to the right. If it's five or more, like this case where it is 7, you add 1 to the hundredths place, then you remove all of the digits to the right.

Apollo 16's mission lasted just over 1 week 4 days. How many hours are there 1 week 4 days?

Answers

Answer:

264 hours

Step-by-step explanation:

there are 7 days in a week + 4 is 11

11 x 24 (HOURS IN A DAY) = 264 hours

hope this helps

Answer:

264 hours

Step-by-step explanation:

1 week = 7 days

1 day = 24 hours

Therefore, 7 · 24 = the number of hours in a week.

24 · 7 = 168

There are 168 hours in a week.

1 day = 24 hours

4 days = ? hours

4 · 24 = the number of hours in 4 days

24 · 4 = 96

There are 96 hours in 4 days.

You add 168 and 96 hours to get the total number of hours.

168 + 96 = 264

I hope this helps and please mark me as brainliest!

40 points to who ever can help

Answers

Answer: not sure what country mathmatics it is but 12 divided by 4 = answer

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer☂}}[/tex]

As we have been given ~

Volume of Cylinder : ( r = 2 ft , h = 12 ft )

[tex]\qquad \sf  \dashrightarrow \: \pi {r}^{2}h [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times ({2}^{2}) \times 12 [/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 \times 4 \times 12[/tex]

[tex]\qquad \sf  \dashrightarrow \: 144 \: \: f {t}^{2} [/tex]

Volume of Rectangular prism : ( l = 10, w = 6, h = 6 )

[tex]\qquad \sf  \dashrightarrow \: l \times w \times h[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10 \times 6 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3 60 \: \: ft {}^{2} [/tex]

Volume of whole object = sum of the volumes of Rectangular prism and Cylinder

[tex]\qquad \sf  \dashrightarrow \: 360 + 144[/tex]

[tex]\qquad \sf  \dashrightarrow \: 504 \: \: ft {}^{2} [/tex]

my last question to my assigment ;-; (this was assigned today)

Answers

scale factor = 1.2
the missing side is 48

Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as high as it is wide?

(A) Yes. For every block of width, he could build two blocks high.

(B) Yes. He could use half as many blocks for the height as the width.

(C) There is no way to determine if he can do this.

(D) No, it is not possible to do this.

Answers

b trust me no need to explain

Can someone please help me with this thanks

Answers

Answer:

72

Step-by-step explanation:

that is a right triangle

90-18=72

Since this is a right angle, x = 90 so 90 - 18 = 72 the answer is 72

(-8+1.5)x4/5

Help please

Answers

Answer:

-5.2

Step-by-step explanation:

-8+1.5 = -6.5

-6.5 * 4/5 = -6.5 * 0.8 = -5.2

The answer is 5.2. You have to evaluate.

can you help me on this please

Answers

Answer:

1.25 or 5/4

Step-by-step explanation:

If g = 5/6 then the expression would be 5/6 + 5/12 and the answer for the expression reduced is 5/4 and in decimal form is 1.25

It’s telling you that g is 5/6 right. So you will just need to plug that in and you have 5/6+5/12 the total will be 1 & 1/4 or 1.25

maybe brainliest

The wheels of a monster truck are 66 inches tall. Find the distance the monster truck travels when the tires make one 360-degree rotation. Round to the nearest hundredth if necessary.
distance: about (BLANK) in.

Answers

207.35". Just diameter x pie

Answer:

207.35"

Step-by-step explanation:

Area - please be quick - will mark brainliest

Answers

Volume = length x width x height

This formula can be used to find the number of cubes as well as the volume.

Number of Cubes: 36

3 x 4 x 3 = 12 x 3 = 36

Volume of One Cube: 1/64 cm^3

1/4 x 1/4 x 1/4 = 1/64

Volume of the Solid: 9/16 cm^3

Length = 1/4 + 1/4 + 1/4 = 3/4

Width = 1/4 + 1/4 + 1/4 + 1/4 = 1

Height = 1/4 + 1/4 + 1/4 = 3/4

3/4 x 1 x 3/4 = 9/16

Hope this helps!

a) 48
b) 1/2 cm
c) 48 cm

HELP ME THIS IS DUE TODAY

Answers

I think it’s 2/6 because there’s a total of 6 choices and 1 of them is thick crust with pepperoni and the other one is with sausage. So the probability written as a fraction is 2 out of 6 different pizzas- 2/6

WILL GIVE BRAINLIEST AND 30 POINTS TO THE FIRST ANSWER
5 to the power of 2 + 2 to the power of 2?

Answers

Answer:

I think your answer would be 29

Step-by-step explanation:

first 5 to the second power basically 5x5 so that equals 25,than 2 to the second power is 4(2x2) 25+4=29

It would be 29, because 5 to the second power is 25, and then you would add that to the 2 to the power of 2 which is 4. 25+4=29

If four students are playing a game and each student is equally likely to win the game, what is the probability that student 3 will win?
A.0
B.1/2
C.1/3
D.1/4

Answers

Answer:

D.

Step-by-step explanation:

Because since there are 4 people with an equal chance to win then you just put the number of people that you're trying to figure out over the total number.

Answer:

d

Step-by-step explanation:

we know there is 4 students so that means there's a 1/4 chance of him winning

Parallel lines j and k are cut by a transversal l. Which pair of angles are corresponding angles?

A. 3 and 1
B. 3 and 4
C. 3 and 7
D. 3 and 8

Answers

3 and 1 are your corresponding angles. So A.
A. 3 and 1
Hope this helps

A runner runs at a rate of 4.5 miles per hour. How far does the runner run in 0.75 hours?

options:

1.6 miles


3.375 miles


3.75 miles


5.25 miles

Answers

I think it’s 3.375 I did 4.5 multiplied by 0.75

Answer:

3.375 miles

Step-by-step explanation:

A runner runs at a rate of 4.5 miles per hour. How far does the runner run in 0.75 hours?

x = hours they ran

4.5x <== substitute 0.75 for x

4.5(0.75) <== multiply

3.375 miles

Hope this helps!

ill give brainliest for the answer and no guessing

Answers

Answer:

12350%

Step-by-step explanation:

. 76 - 34 = 42

. 42 divided by 34 = 1.23529411765

. 1.23529411765 multiplied by 100 = 123.529411765

. 123.529411765 ≈ 123.5 * 100 = 12350%

Pls help me thank you

Answers

Answer:

373 in

Step-by-step explanation:

I hope this is right and it helps you!

Answer:

390m^2

Step-by-step explanation:

The Surface Area of a triangular prism is L(s1 + s2 + s3) + 2*base area

a = 5m

b = 12m

c = 13m

L = 11m

First, we need to find the base area...

base area = (a*b)/2

(5*12)/2 = 30 m^2

Next, find the surface area

A = 11(5 + 12 +13) + 2*30 = 390 m^2

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

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