The distance, y, Miranda travels while cross-country skiing, y, her distance traveled, varies directly with the amount of time, x, that she skis. Suppose Miranda skis 10 miles (the y coordinate) in 2 hours (the x coordinate).
A. What is the speed in miles per hour that Miranda is traveling?

B. Use your answer for (A) to write a direct linear variation equation relating this information.

C. How far will Miranda go in 3 hours?

D. If she travels 20 miles, how long did she ski? This one is worked out backward, be careful!
show your work

Answers

Answer 1

Using the principle of direct variation, the solution to the problem given are :

5 miles per hour d = 5t15 miles 4 hours

Given the Parameters :

Distance = d

Amount of time = t

d α t ; d = kt

We can find k = constant of proportionality = speed of travel ;

d = 10 miles ; t = 2 hours

10 = 2k

k = 10/2

k = 5

Hence, speed = 5 miles per hour

B.) The direct linear variation expression becomes ;

d = 5t

C.) Distance traveled in 3 hours :

t = 3 hours

d = 5t

d = 5(3) = 15 miles

D. Time taken to travel a distance of 20 miles

d = 5t

20 = 5t

t = 20/5

t = 4 hours

Therefore, it will take 4 hours to travel a distance of 20 miles.

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Related Questions

All of the following are steps your group should follow to be effective, except: a. Identify and define the problem. b. Analyze the problem. c. Discuss one solution. d. Take action. Please select the best answer from the choices provided A B C D

Answers

Answer:

C) Discuss one solution.

Step-by-step explanation:

There could be more than one solution, so it's best to discuss all of the solutions and decide which is best ^^

I also got it right on Edge :)

Adam types 65 words per minute, how many words per second can Adam type?

Answers

Answer:1.08 words per second

Step-by-step explanation:

see picture :)

y is dirrctly propotional to ∛x y=1 1/6 when x=64. Find the value of y when x=64

Answers

9514 1404 393

Answer:

  1 1/6

Step-by-step explanation:

This appears to be a reading comprehension test.

The problem statement gives you the value of y when x=64, then asks you the value of y when x=64. The answer will be the given value:

  y = 1 1/6

9n - 16 -1 + 3n Pls help

Answers

Answer:

17/12

Step-by-step explanation:

12n-17=0

12n=17

n=17/12

What is the answer to T=4,500•(1.05)^100?

Answers

Answer:

591755.66030836 was my answer. Hope that helps.

What is the slope from a graph:​

Answers

Answer: -4 is your rise and 3 is your run

Step-by-step explanation:

you can get the slope from using y2-y1/x2-x1 or just counting

-4 and 4 run download the store to you and you get your order number for you and you are not answering the call and

Lynette wanted to run one mile in eight minutes. To be on pace to reach
her goal, how far will she need to run in 2 minutes? ?
3

Answers

Answer:

0.25 miles

Step-by-step explanation:

assuming that she keeps a constant Velocity/ speed,

find the speed she intends to run with, ie total distance/time

[tex]\frac{1}{8} miles \: per \: minute[/tex]

find the distance she travels in two minutes, ie speed multiplied by time.

[tex] \frac{1}{8} \times 2 = \frac{1}{4 } = 0.25[/tex]

A jade comb has a mass of 143grams and a volume of 44.0cubic centimeters. Calculate its density. Write your answer to the hundredths place. gramspercubic centimeter Questions

Answers

so since density equals mass over volume, the calculation u need to do: 143 divided by 44.0 = 3.25


Last year, the amount of 6th grade students currently enrolled in orchestra is twice the amount of 8th grade students. There are 10 more 7th grade students in orchestra than 8th grade students
Write expressions for the number of students in orchestra at each grade level if the number of students is represented by x students

Answers

Answer:

X=8th grade 2x=6th grade x +10=7th grade

a) Find the center-radius form of the equation of the circle with center (0,0) and
radius 16.

Answers

Answer:

x^2+y^2=256

Step-by-step explanation:

The general formula for a circle is (x - h)^2 + (y - k)^2 = r^2; where (h , k).

Thus, (x - 0)^2 + (y - 0)^2 = (16)^2 is x^2 + y^2 = 256

40% of the problems is 32 problems.

Answers

40/4=10%
10% = 8
100% = 8 x 10 = 80
There are 80 problems

Answer:

80

Step-by-step explanation:

Change 40% to a decimal by moving the decimal 2 places left or divide 40 by 100. Write an equation.

[tex].4p = 32[/tex]

divide both sides by .4

[tex]p = 80[/tex]

Which of these expressions is equivalent to 8÷1 3/5. 1/8×8/5 or 8×8/5 or 5/8×8 or 8×5/8​

Answers

9514 1404 393

Answer:

  5/8×8 or 8×5/8​

Step-by-step explanation:

The mixed number 1 3/5 is equivalent to the improper fraction 8/5. Dividing by 8/5 is the same as multiplying by its reciprocal, 5/8.

The commutative property of multiplication says you can write the factors in either order, so an equivalent expression is ...

  5/8×8 or 8×5/8​

_____

If you are required to choose one answer, perhaps the best one is the answer that has the relevant numbers in the original order:

  8×5/8​

A year is 1/3 of the lifespan of a fire ant queen. a year is 1/30 of a termite queens lifespan. Write an inequality to compare the fractions of the insects lifespan that a year represents.

Answers

The answer is 30 because 3/7 “89’u hope it helps

Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?




Rebecca had
9
10
of a yard of ribbon. Then she gave
7
20
of a yard to a friend. How much does she have left?









Rebecca had 9/10
of a yard of ribbon. Then she gave 7/20
of a yard to a friend. How much does she have left?

Answers

Answer:

[tex] \frac{9}{10} - \frac{7}{20} \\ \frac{9 \times 2}{10 \times 2} - \frac{7}{20} \\ \frac{18}{20} - \frac{7}{20} \\ \frac{18 - 7}{20} \\ \frac{11}{20} \\ 0.55[/tex]

Step-by-step explanation:

rabeeca has 0.55 ribbon left.

Answer:

11/20

Step-by-step explanation:

first you need to multiple 9/10 by 2/2 to get 18/20 and then 7/20 multipled by 1/1 and for the last step do 18-7 to get 11 so therefore the answer is 11/20

please help my teacher make me do all of this
Review Directions: Solve each of the following equations. 1. 2x - 12 = 6 1. 2x - 12 = 6 2. 2x + 6= 8 3. 12s - 12=12 4. 14s + 6 = 35 5. 3s - 12 = 6 6. 18t + 9 = 34 7. 21x + 7 = 28 8. 50y + 5 = 105 9. 1/4x - 6 = 24 10. 13x + 2 = 18 11. 6 - 3x = 18 12. 14 + s = 21 13. 16x - 4 = 28 14. 19x - 1 + 3 = 40 15. 10t = 194 16. 400x + 100 = 1100 17. 40 - 3x + 3 = 113 2. 2x + 6= 8 3. 12s - 12=12 4. 14s + 6 = 35 5. 3s - 12 = 6 6. 18t + 9 = 34 7. 21x + 7 = 28 8. 50y + 5 = 105 9. 1/4x - 6 = 24 10. 13x + 2 = 18 11. 6 - 3x = 18 12. 14 + s = 21 13. 16x - 4 = 28 14. 19x - 1 + 3 = 40 15. 10t = 194 16. 400x + 100 = 1100 17. 40 - 3x + 3 = 113

Answers

Doing it now. It may take a minute, but i got you :)

What is the measure of one interior angle of the polygon

Answers

Answer:

the interior angles is (n - 2) * 180.

Step-by-step explanation:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

I Hope This Helps!!!!

Answer:

180

Step-by-step explanation:

Evaluate the expression.

Answers

Answer:

22

Step-by-step explanation:

hoffe das hilft :)

Answer:

[tex] \frac{ -4 [ - 5(7 - 13) - 19]}{2( - 1)} \\ \\ \frac{ - 4[ - 35 - 65 - 19]}{ - 2} \\ \\ \frac{ - 4 [ - 119] }{ - 2} \\ \\ \frac{ - 4 - 119}{ - 2} \\ \\ \frac{ - 123}{ - 2} \\ 61.5 \: \: \: \: answer \: [/tex]

5 = 8(x + 9) – 8(x – 8)

Answers

Answer:

5 = 136

hope it helps-

6. What is the area of a rectangular floor that is 7-3" long
and 4-2” wide?

Answers

362.5 feet squared. 7 ft 3 in = 87 in. 4ft 2 in = 50 in. A= bh. 87 x 50 = 4350 in. 4350/12 = 362.5 feet squared

The area of the rectangle will be 4350 Inches squared.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular floor is 7-3" long and 4-2” wide. Here 7 ft 3 in = 87 in. 4ft 2 in = 50 in.

The area of the rectangle is calculated by using the formula below:-

Area = Length x Width

Area = 87 x 50

Area = 4350 Inches

Therefore, the area of the rectangle will be 4350 Inches squared.

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look at the photo and try to answer please

Answers

There’s not picture?

The solids are similar. Find the volume of solid B. Write your answer in terms of pi.​

Answers

Now, I’m not sure if I’m right because I’m not in college, but I’m pretty sure for solid A you divide the area which is 12 times the volume which is 4608. We do this because the volume of a cylinder is a•h but since we don’t know the height we divide. So after dividing I got 384. And since the solids are supposedly similar you will multiply the area of solid B which is 15 times 384 which equals 5,760. So the volume of solid B is 5,760 pi in.^3… (let’s hope this is correct)

Write down the inequality for x that is shown on this line
O
+
1 2 HELP
+
3
0
4
+
+X
6 7 8
5

Answers

Answer:

[tex]x < 5[/tex]

The answer is

√6⋅√11⋅√5
simplify to radical form

Answers

Hey! Your answer to this would be [tex]\sqrt{330}[/tex]

A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?

Answers

With the given focus of (-9,6) and directrix of x=-1 we know that the equation for this parabola would be :
-16x-80=(y+1)^2
The vertex would be :
(-5,-1)
Eccentricity 1
Axis of symmetry y=-1
x intercept (-8/16, 0)
No y intercept
And the graph pic of parabola is in attached pic

I will mark brainlist please help!!

- dilation (lesson)

1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

Answer:

see explanation

Step-by-step explanation:

(1) False

A dilatation enlarges or reduces the original figure

Then the distance between consecutive vertices changes.

(2)

Assuming the centre of dilatation is at the origin then multiply the coordinates of the points by the scale factor k = 0.25 ( a reduction )

J (4, 8 ) → J' (4(0.25), 8(0.25) ) → J' (1, 2 )

K (8, 8 ) → K' (8(0.25), 8(0.25) ) → K' (2, 2 )

L (4, 2 ) → L' (4(0.25), 2(0.25) ) → L' (1, 0.5 )

Find a primitive Pythagorean triplet (a, b, c) where c=a+50.

Answers

Answer:

Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.

theorem: a2 + b2 = c2.

This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.

There are two types of Pythagorean triples:

Primitive Pythagorean triples

Non-primitive Pythagorean triples

Primitive Pythagorean triples

A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.

For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the

Step-by-step explanation:

Pythagorean theorem: a2 + b2 = c2.

(3, 4, 5) → GCF =1

a2 + b2 = c2

32 + 42 = 52

9 + 16 = 25

25 = 25

(5, 12, 13) → GCF = 1

a2 + b2 = c2

52 + 122 = 132

25 + 144 = 169

169 = 169.

hope you all like this answer.

mark this answer as brainlist.

rate this answer quys.

Thank you ❤️.

solve 15 + ( - 15) =

Answers

Answer:

0

Step-by-step explanation:

see photos attached

blah blah

If I`m going to solve "what is the percent is 29.00 out of of 122.50 what do I multiply by 100 or 122.50?

Answers

Answer:

I don't know the answer you know

What percent is 29 out of 122.50 is the same as, “29% of 122.50”

All you need to do is to convert 29% to decimal by moving the decimal point 2 places to the left = 0.29.

Next, multiply 0.29 by 122.50:

0.29 × 122.50 = 35.525 or 35.53 (or 36 if rounded to the nearest ones or whole number).

Please mark my answers as the Brainliest if you find this helpful :)

What is the Lcm of 22 and 33 using prime factorization

Answers

My answer would be 66

The LCM of 22 and 33, using prime factorization, is 66.

What is Number system?

A number system is defined as a system of writing to express numbers.

We have to find LCM of 22 and 33 using prime factorization

Factor each term into prime factors

22 = 2 x 11

33 = 3 x 11

Identify all of the unique prime factors of these two numbers.

Finally, we can find the LCM by multiplying each of these prime factors raised to their highest power that appears in either of the two factorizations.

LCM(22, 33) = 2x 3 x 11

LCM(22, 33) = 66

Therefore, the LCM of 22 and 33, using prime factorization, is 66.

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1.8331 to nearest hundred

Answers

Answer:

1.83 because hundredth would be in the second place after the period

Step-by-step explanation:

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