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?

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

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:

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)

Answer:

parallel, perpendicular are opposite

Answer:

PARALLEL PERPENDICULAR

Step-by-step explanation:

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

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

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

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).

Answer:

There is no associative property of subtraction.

Step-by-step explanation:

Given:

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

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.

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.

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;

Learn more experimental design here:

https://brainly.com/question/15549600

https://brainly.com/question/17246426

Answer:

30

Step-by-step explanation:

5x6=30

Answer:

51.81

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

Answer:

51.807 rounded to two decimal places is 51.81

Step-by-step explanation:

Brainliest please

~hannah32010~

Answer:

7.3*

Step-by-step explanation:

do the inverse:

22/3=7.3*

*=recurring

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

Answer: -2 * (3x + 8)

Would appreciate brainly <3

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.

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

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

Answer:

-t+9.5<7

Step-by-step explanation:

-8.5 < 7

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

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.

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

Answer:

Commission = $24.75

Step-by-step explanation:

Commission = Sale Price × Commission %

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

Commission = $24.75

Answer:

either A or D

Step-by-step explanation: