Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?

Answers

Answer 1

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

How to determine the total length?

The given parameters are:

Proportion of sleep = 21%Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

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Related Questions

In circle o below, what is the measure of angle x, the angle formed by a tangent and the
diameter of the circle?

Answers

[tex]\sf\large\underline\purple{Answer:-}[/tex]

The measure of the angle x = 90°

[tex]\sf\large\underline\blue{Reason:-}[/tex]

Theorem Of Tangent:-

[tex]\rightarrow[/tex]A radius is obtained by joining the centre and the point of tangency. The tangent at a point on a circle is at right angles to this radius.

________________________________

Hope it helps you:)

Have a nice day..

Answer:

The value of angle is 90°

Step-by-step explanation:

Theorem:-

The tangent of a circle is perpendicular to the radius through the point of contact

And we know , the value of angle formed by perpendicular is 90°

Anyone know the answer

Answers

so the equation is 1 1/3 ÷ 1 2/5

simpilify it

4/3 ÷ 7/5

since its division, you want to make it multiplication to you switch the fractions around.

you get the equation 3/2 * 5/7

which is 15/14

that converted to a improper fraction is 1 1/14

answer: 1 1/14

Ash company reported sales of $580,000 for year 1, $630,000 for year 2, and $680,000 for year 3. Using year 1 as the base year, what is the revenue trend percent for years 2 and 3??​

Answers

Answer:

Year 2: 109.4%

Year 3: 118.9%

Step-by-step explanation:

Given;Ash company reported sales of $580,000 for year 1$630,000 for year 2, $680,000 for year 3.

Now,

For the revenue trend percent for year 2

Year 2: $580,000 / $530,000 × 100 = 109.4%

For the revenue trend percent for year 3

Year 3: $630,000 / $530,000 × 100 = 118.9%

Thus, The answer is 109.4% and 118.9%.

-TheUnknownScientist 72

Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?

Answers

I believe the answer is 81 but I’m not 100% sure

A math teacher keeps her wall-sized graph paper in a box shaped like a triangular prism. The triangular face of the prism has a base of 21 cm and a height of 16 cm. The length of the entire box is 130 cm.


Which of the following is the volume of the box?
.
43,680 cm3
B.
21,840 cm3
C.
4,368 cm3
D.
19,340 cm3

Answers

(24 × 17 × 130\2)

24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is

C= 26,520 cm^3

Simplify.

2 × (3 – 1) + 3

Answers

Answer:

7

Step-by-step explanation:

do what is in the parenthesis first then multiply then add

Computer World ships
10 computer monitors at one time. The total mass of the shipment is
40 kilograms.
All of the monitors in the box have the same mass.
What is the mass of one of the computer monitors?

Answers

Answer:

4kg

Step-by-step explanation:

Computer World ships

10 computer monitors at one time. The total mass of the shipment is

40 kilograms.

All of the monitors in the box have the same mass.

What is the mass of one of the computer monitors?

10÷40=4kg

Answer:

4km

Step-by-step explanation:

Pllllssss answer!! i only have a few more minutess!! (i'll give brainilest) tyler wants to buy some cherries at the farmer's market. he has $ 10 and cherries cost $4 per pound. 1. if c is the number of pounds of cherries that tyler can buy, write one or more inequalities or equations describing c. 2. can 2 be a value of c? can 3 be a value of c? what about -1? explain your reasoning. 3. if m is the amount of money, in dollars. tyler can spend, write one or more inequalities or equations describing m. 4. can 8 be a value of m? can 2 be a value of m? what about 10.5? explain your reasoning. did you answer all 4 parts?​

Answers

answer:

step by step explanation:

10-4 = c

6 = c

he can buy 2 pounds of cherries

2. 2 can be the value of c

c = 2

10- 4c

10- 4(2)

10 - 8 = 2

c = 3

10 - 4c

10- 4(3)

10 - 12 = -2

c = -1

10 - 4(-1)

10 - (-4)

10 + 4

= 14

manage this

mark me brainliest

Saleem wants to create a table of ratios that are equivalent to 2
3
. He includes the ratios 4
5
and 5
6
.

Are these ratios equivalent to 2
3
? Explain your reasoning.

Answers

Answer:

yes 6 is the equivalent of 3

Answer: 6 is the equivalent of 3

Step-by-step explanation: if wrong comment n I will fix

If a coin is flipped 5 times and heads comes up 2 times, what is the relative frequency of heads coming up?

Answers

Answer:

0.40 is your answer

Step-by-step explanation:

0 .40 is your answer

Please help me with this math problem!! Will give brainliest!! Please explain how you got your answer! :)

Answers

Hope this answer helps

SOMEONE HELP PLS, GIVING BRAINLIST TO ANYONE

Answers

i might be wrong but i think it’s an ellipse since the cone seems to be slanted a bit meaning it wouldn’t be a perfect circle but i’m just giving a second opinion
I think it’s an ellipse because it’s slanted and if you look closely it kinda looks to be an ellipse

Is 206 – 3x) + x equivalent to 2(3x) + x + 12?

Answers

Answer:

Step-by-step explanation:(206-3x)+x

2(3x)+x+12

ok as i think one no is statsfy this equation .

Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%.

Answers

The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300

What is interest?

Interest is the amount of money made from investing a particular amount of money over a period of time. It is given by:

I = PRT

I is interest, P is principal, R is rate and T is period

Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%. Hence in one year:

I = 6000 * 5% * 1 year = 6000 * 0.05 * 1 = $300

The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300

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A pencil is `120` millimeters long.

A marker is `9\%` longer than the pencil.



How long is the marker?

Answers

Given the length of the pencil, the length of the marker is 130.8 millimeters.

What are percentages?

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

How long is the marker?

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

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prove, using algebra, that the difference between the squares of consecutive odd numbers is always a multiple of 8.
lets 2n+1 be the smaller of the two odd numbers

Answers

Answer:

which of the variable in equation square of 9 is

Step-by-step explanation:

solution of the equation of 6 equals

why is that

Central school is hosting a Centrel has talent show. They will award various prizes for the best 3 acts in the show. First place wins the most money, and each subsequent place after first wins $50 less than the previous place. Let x equal the amount of money first place wins. Which of the following expressions represents the total amount of prize money select all that apply

Answers

Answer:

A,B,D,E

Step-by-step explanation:

yes

Calculate the difference between the average rates of change of Function B and Function A from x=2 to x=4.

Answers

Answer:

-4

Step-by-step explanation:

-8/2=-4

So you do -8-2/4-2, which is the average rate formula.

Two six-sided dice are rolled and their product is taken. How many elements are in the subset of even numbers?

Answers

12 in all:

{2, 4, 36, 6, 8, 10, 12, 16, 18, 20, 24, 30}

Answer:

Step-by-step explanation:

How many cards are in each pack? There are __ cards in each pack

Answers

Answer:

there are 52 cards in each pack

Answer:

52.

Step-by-step explanation:

A deck of cards have 52 cards.

The point (3, 4) is on a circle with a center (1, 4).
Find the radius of the circle.
Write the standard equation of the circle.
Graph the circle.

Answers

Check the picture below.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{1}{ h},\stackrel{4}{ k})\qquad \qquad radius=\stackrel{2}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-1)^2~~ + ~~(y-4)^2~~ = ~~2^2\implies (x-1)^2~~ + ~~(y-4)^2~~ = ~~4[/tex]

Find the area of this trapezoid Dimensions are in meters​

Answers

Answer:

42 meters squared

Step-by-step explanation:

Lets split the trapezoid into 2 parts (6*5 and 2*6)

6*5+2*6

= 30+12

= 42

Answer:

36

Step-by-step explanation

5+7 = 12

12/2 = 6

6 * 6 = 36

formula = ((a+b)/2) * h

He wallow fire of 2011 burned 538,000 acres in eastern arizona. A. [2 pts] if one square mile is 640 acres, how many square miles did the fire burn?

Answers

The square miles that was burned if one square mile is 640 acres is 840.625 square miles.

What does division mean?

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

How many square miles was burned?

Square miles that was burned = 538,000 / 640 = 840.625 square miles

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There are 840.625 square miles did the fire burn.

What is division?

Division is the process of sharing a collection of items into equal parts and is one of the basic arithmetic operations in maths.

The wallow fire of 2011 burned 538,000 acres in eastern Arizona.

The area of square miles did the fire burned is;

[tex]\rm Area =\dfrac{538,000}{640}\\\\Area =840.625 \ square \ miles[/tex]

Hence, there are 840.625 square miles did the fire burn.

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#SPJ4

O f 2 0 0 0 0 small businesses surveyed, about 82%

said they employed women in some capacity.

Of the businesses that employed women, 19. 5%

employed no female supervisors, 50% employed

only one female supervisor, and the remainder

employed more than one female supervisor,

a How many of the businesses surveyed

employed no women?

b W hat proportion of businesses surveyed

employed exactly one female supervisor?

c W hat proportion of businesses surveyed

employed no female supervisors?

d Given that a particular firm employed women,

what is the probability that it employed at

least one female supervisor

Answers

Using proportions, it is found that the desired amounts are given as follows:

a) 360 businesses employeed no women.

b) 41% of the businesses surveyed employed exactly one female supervisor.

c) 15.58% of the businesses surveyed employed no female supervisors.

d) 80.5% probability that it employed at least one female supervisor.

What is a proportion?

A proportion is a fraction of a total amount.

Item a:

18% out of the 2000 businesses surveyed, hence:

n = 0.18 x 2000 = 360.

Item b:

50% out of 82%, hence:

p = 0.5(0.82) = 0.41.

41% of the businesses surveyed employed exactly one female supervisor.

Item c:

19% out of 82%, hence:

p = 0.19(0.82) = 0.1558.

15.58% of the businesses surveyed employed no female supervisors.

Item d:

100 - 19.5 = 80.5% probability that it employed at least one female supervisor.

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A small business had profits of $200, $300, $400, $500 and $500 over the 5 months. How much profit should the business make in the 6th month to have an average profit of $550 over the 6 months?

Answers

Answer:

$1400

Step-by-step explanation:

x= profit of 6th month

(200+300+400+500+500+x)

-------------------------------------- = 550

6

(1900+x)=3300

x=3300-1900

x=1400

please help I am confused

Answers

Answer:

Step-by-step explanation:

Let's check the transformation from C(1,3) to C'(5,2).

(1) C(1,3) would become C'(2,-1), which is wrong.

(2) You can eliminate this, as the image and preimage are in the same quadrant.

(3) You can eliminate this, as the image and preimage are in the same quadrant.

(4) C(1,3) would become C'(5,2), which is correct.

17
What percent does 20
8%
850%
85%

Answers

Answer:

=0

Step-by-step explanation:becase I got it right on a test

Alex just started college and has taken a 10-year subsidized loan out for $5,500 with 6.5% deferred interest. He plans on graduating in 4 years. Determine the money payment alex will pay upon graduation.

Answers

Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.

How can the amount Alex will pay be found?

The number of years for the loan = 10-year

The loan amount = $5,500

The number of years for the interest = 6 years

The monthly payment formula is presented as follows;

[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]

Which gives;

[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]

The amount Alex will pay upon graduation is $81.67 each month

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Danny has 1.08 pounds of cat food. he uses 0.12 pound of cat food to feed one cat. how many cats can danny feed with the cat food he has?

Answers

Answer:

9

Step-by-step explanation:

1.08 divided by 0.12 equals 9

Will give brainly if right

Answers

Answer:

60.61

Step-by-step explanation:

the missing angle is 51 degrees

we can say sin74/x = sin51 / 49

now we just solve for x.

x = 60.61

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