Slippery Slope
Two professional downhill skiers are going to begin a race. The skiers agree that Skier 1 is
slightly faster than Skier 2 so they decide that Skier 2 will get a 5 second head start to make the
race more competitive. Skier 1 skies at an average speed of 110 feet per second and Skier 2
skies at an average speed of 100 feet per second.
Who will win the race if the course is 5000 feet long?

Answers

Answer 1

Answer:

It would be a tie

Step-by-step explanation:

Skeir 1 in 5000 feet would go 45 seconds.

Skier 2 in 5000 feet would go 50 seconds

If skier 1 lets skeir 2 have a head start, then it means that that it would be 50-5, which would be 45.


Related Questions

Seven more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.

Answers

Answer:

x < -10

Step-by-step explanation:

First, let x = unknown number. Then create the algebraic equation to solve for x. The equation would be 2x + 7 < -13, so 2x < -20, thus x < -10.

Answer:

If you wanted the in equality equation then your answer is 2n + 7 < -13

If you want the answer to the inequality then its n < -10

Step-by-step explanation:

2n + 7 < -13

     -7     -7

    2n < -20

    /2      /2

     n < -10

HELPPPPPPPPPPPP Plsssssssss

Answers

Answer:

either A or D

Step-by-step explanation:

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

parallel, perpendicular are opposite

Answer:

PARALLEL PERPENDICULAR

Step-by-step explanation:

find the value of x that makes this true. M<2= -9 + 7x
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

the triangle is an Isosceles triangle

let the another two angles be 2x

and apply angle sum property of triangle here

2x + 72° = 180

2x = 180 - 72

2x = 108

x = 108/2 = 54

therefore,

angle 2 = 54°

a/q

angle 2 = -9 + 7x

now,

54° = -9 + 7x

or

-9 + 7x = 54°

7x = 54 + 9 = 63°

x = 63/7 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

What is 2(-2) raised to the power of 3 - 6x?

Answers

Answer: -2 * (3x + 8)

Would appreciate brainly <3

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

Answers

y = -2/3x is the answer

What is the equation of the line that passes through the point (6,-4)( and has a slope of -2/3?

y=-2/3x

Is the expression 32.3-3 equivalent to 33.3-22 Explain.


this assignment is due in 2 hours pls help!​

Answers

This is expression is not equal because the left hand and right hand side are different

Assume that lines which appear to be tangent are tangent.
Find the value of the?

Answers

Answer:

12

Step-by-step explanation:

Assume that lines which appear to be tangent are tangent.

Therefor this is a right triangle.

Use the pythagorean theorem

c^2 = a^2 + b^2

15^2 = ?^2 + 9^2

225 = ?^2 + 81

subtract 81 from both sides

144 = ?^2

Take the square root of both sides

12 = ?

9514 1404 393

Answer:

  ? = 12

Step-by-step explanation:

The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.

  ?² +9² = 12²

  ?² = 225 -81 = 144

  ? = √144 = 12

The value of ? is 12.

__

Additional comment

When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.

Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.

Answers

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

4.
Graph the equation 3x – 2y = -4.

Answers

First of all arrange the equation in terms of y=Mx+c

2y=3x+4

(NOW DIVIDE BY 2 , TO MAKE Y ALONE)

Final answer is : Y = 3/2x + 2

there are 6 marbles if 5 are needed, how many different alternatives are there

Answers

Answer:

30

Step-by-step explanation:

5x6=30

a woman is 16 weeks pregnant with her first baby. she asks how long it will be before she feels the baby move

Answers

Answer:It will take about 1 month or 2 months for the baby to start movingStep-by-step explanation:

It will take about 1 month or 2 months for the baby to start moving since a pregnancy takes 9 months so the most logical thing is that the baby starts to move between 1 month or 2 months

In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?

Answers

I think the answer is 260

If there are 1000 grams in a kg and 455 grabs in a pound, how many pounds are there per kg

Answers

Answer:

The answer is 0.45359237.

Step-by-step explanation:

I assume you are converting between kilogram and pound.

Answer:

2.20462

Step-by-step explanation:

1000 / 455 = 2.20462

The New York Nicks had a streaky season. They began by winning 4 games in a row, and then they lost 12 games in a row. After those 12 losses, they won every game, finishing with 3 wins for every 2 losses overall. How many games did they win after the first 16 games?

Answers

Using proportions, it is found that they won 14 games after the first 16 games.

This question is solved by proportions, using a rule of three.For each 3 games they won, they lost 2.They lost 12 games, all on the losing streak, and won x games.

Hence, the rule of three is:

2 losses - 3 wins

12 losses - x wins

Applying cross multiplication:

[tex]2x = 3(12)[/tex]

[tex]x = \frac{36}{2}[/tex]

[tex]x = 18[/tex]

18 wins, being 18 - 4 = 14 after the first 16 games, hence, they won 14 games after the first 16 games.

A similar problem is given at https://brainly.com/question/24372153

Please help me ASAP I don’t understand sigh

Answers

Answer:

x = -2, y = -6

Step-by-step explanation:

(8x - 3y) + (-8x - 5y) = 2 + 46

-8y = 48

y = -6

8x - 3y = 2

8x - 3(6) = 2

8x + 18 = 2

8x = -16

x = -2

Answer:

[tex]\boxed { \sf (-2, -6) }}[/tex]

Step-by-step explanation:

We are asked to find the solution of the system of equations.

[tex]8x-3y=2\\-8x-5y=46[/tex]

When we solve systems of equations, we have to do 2 steps. The first step eliminates one variable so we can solve for the other. The next step helps us find the variable we canceled.

The first equation has the term 8x and the second equation has the term -8x. If these are added, they cancel, so we are left with the variable y. Add the equations together.

[tex](8x-3y=2) \\+ (-8x-5y=46)[/tex]

8x and -8x cancel, then add.

[tex](-3y=2)\\+ (-5y=46)[/tex]

___________

[tex]-8y= 48[/tex]

We are solving for y, so we must isolate the variable. It is being multiplied by -8. The inverse operation of multiplication is division. Divide both sides by -8.

[tex]-8y/-8=48/-8 \\y= 48/-8 \\y=-6[/tex]

Now we know what y is equal to, so we can plug it back into one of the original equations and solve for x.

I chose the first equation.

[tex]8x-3y=2[/tex]

[tex]8x-3(-6)=2[/tex]

[tex]8x+18=2[/tex]

Subtract 18 from both sides to isolate 8x.

[tex]8x+18-18=2-18\\8x=2-18\\8x=-16[/tex]

Divide both sides by 8.

[tex]8x/8=-16/8 \\x=-16/8 \\x= -2[/tex]

Coordinate points are written as (x,y) so our solution is (-2, -6)

The interval (-1, 1) is best described as

Answers

Answer: There's an increasing interval between -1 and 1

While x goes from -1 to 1, the value of y increases (from -2 to 2).

A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball to hit. She continues this procedure until all 80 of the golf balls are hit.


Has the principle of comparison been addressed in this experimental design?


Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.

Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.

No, because a placebo ball was

Answers

The design of the experiment is such that the knowledge of the type of

ball being hit does nit influence the outcome of the experiment.

The correct option is; Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.

Reasons:

The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

The design of the experiment is as follows;

Number of the previous golf ball in the experiment = 40

Number of the new type of golf ball used in the experiment = 40

The order in which the ball are selected from the bag = Randomly

The subject of the experiment = A golf pro

The sample size of each sample is larger than 30, and therefore, the

distribution can be taken as approximately normal.

The principle of comparison has been addressed in the experiment

because the golf pro that is subject to the treatment will react more

accurately to the change in the variable, given that, the previous golf ball

serves as a placebo in the study and after all the balls are hit, the distance

travelled by each set can be determined.

The correct option is therefore;

Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.

Learn more experimental design here:

https://brainly.com/question/15549600

https://brainly.com/question/17246426

What is the slope in the equation y = 2/5x - 6?

Answers

Answer:

2/5

Step-by-step explanation:

y=2/5x-6

m=2/5

y=mx+b

Slope:  2/5

y-intercept:  6

Step-by-step explanation:

Just Did Now, Am not Really good at asking questions

I am stuck. The screenshot will explain

Answers

Add the first expression
0.2+0.05=0.25
Multiply the second expression
0.2x0.05=0.010
Divide the results by each other
0.25/0.010
Get your answer
25

Hope this helps!

A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps

Answers

Step-by-step explanation:

the circumference of a circle is

C = 2×pi×r

with r being the radius.

the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is

4×22 = 88 cm.

now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

88 = 2×pi×r

44 = pi×r

r = 44/pi = 14.00563499... cm

so, rounded, radius = 14 cm.

Answer:

The other answer is correct

Step-by-step explanation:

The circumference of the circle and the square will be the same so you solve the equation

4*22 = 2 pi r   where r is the radius.

PLS HELP WILL MARK BRAINLIEST!!
Evaluate x - (y - z) and (x- y) - z for y = 3, x = 5, z = 4. Is there any associative property of subtraction

Answers

Answer:

There is no associative property of subtraction.

Step-by-step explanation:

Given:

x = 5y = 3z = 4

x - (y - z) = 5 - (3 - 4) = 5 - (-1) = 5 + 1 = 6

(x - y) - z = (5 - 3) - 4 = 2 x -4 = -6

Therefore, there is no associative property of subtraction as 6 ≠ -6

"Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5.5 % of the selling price.
How much commission will the salesperson earn by selling a couch for $495?"

Answers

Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

Commission = $450 × .055                                   5.5% = as a decimal (.055)

Commission = $24.75

Im confused on this. Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three times as many pennies as nickels. How many of each kind of coin does he have if the total value is $0.52?

Answers

Answer:

Using a system of equations, it is found that he has 2 dimes, 5 nickels and 12 pennies.

In the system of equations, I am going to say that:

x is the number of dimes.

y is the number of nickels.

z is the number of pennies.

---------------------

Two more nickels than dimes, thus:

Three times as many pennies as nickels, thus:

---------------------

A dime is worth $0.1, a nickel is worth $0.05, and a penny is worth $0.01. Total of $0.52, thus:

Solving for x:

---------------------

Solving for y and z:

He has 2 dimes, 5 nickels and 12 pennies.

help me pls ASAP , ion understand :/

Answers

Answer:

-t+9.5<7

Step-by-step explanation:

-8.5 < 7

Solve for the value of K

Answers

Answer:

k = 5

Step-by-step explanation:

The straight angle is 180º

The right angle is 90º

Therefor

(8k + 1) + 90 + 49 = 180

combine like terms

8k + 140 = 180

Subtract 140 from both sides

8k = 40

Divide both sides by 8

k = 5

Answer:

16.25

Step-by-step explanation:

Ok I cut the freaking cute please help me uwu stuff could yall just answer me like 10 points
−2/9x+2.7=4
find x

Answers

Answer:

Step-by-step explanation:

−2/9x+2.7=4

subtract 2.7 from both sides

-2.9x = 1.3

divide -2.9 from both sides

x= -.4482 or x= -.45

What is the result when the number 8 is increased by 25%?

Answers

Answer:

whats 25% of 8

2 2 2 2 each one worth 25%

so just add 2 to the 8 and thats 10 so 10 is 125% of 8

40 POINTSSS PLEASE HELPP!!
2. Use the following statement to answer ALL three parts of the question.
Statement: If two lines do not intersect, then they are parallel.
(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.

Answers

a) The inverse of the statement is the opposite. The statement stated that if two lines do not intersect, they are parallel. So, the opposite would be if two lines intercept, they are parallel. This inverse statement is false because, that is not true. Parallel lines mean they never intercept, not if they intercept its parallel.

b) Converse means to engage or explain, I think…so, the converse of the statement would be that yes, it is true that when two lines do not intercept then they are parallel. Because parallel lines never cross or meet, meaning they will NEVER ever have a crossing point.

c) the contrapositive of the statement would be: if two lines do not cross then they are parallel. If they do intercept, then they are not parallel. As simple as that. I think contrapositive means that…I looked what contrapositive means…so I think I’m right.

I hope this helps!! Or some at least. :)

Good luck!

51.807 round to the 2 decimal place

Answers

Answer:

51.81

............................................

Answer:

51.807 rounded to two decimal places is 51.81

Step-by-step explanation:

Brainliest please

~hannah32010~

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