Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty. Ben makes 7 goals and 2 penalties, ending the game with 21 points. Alyssa earns 10 goals and 8 penalties and ends the game with -6 points. How much does a penalty cost and how much does a goal give?

Answer:

  x = 12

Step-by-step explanation:

Step(i):-

From graph,

             The angle of the triangle ∝ = 45°

   Given hypotenuse of the triangle

              AC = 12√2  and AB = x

Step(ii):-

we will choose sine function

            [tex]sin\alpha = \frac{opposite side}{hypotenuse}[/tex]

            [tex]sin\alpha = \frac{x}{12\sqrt{2} }[/tex]

 Given that an angle ∝ = 45°

           [tex]sin45 = \frac{x}{12\sqrt{2} }[/tex]

           [tex]\frac{1}{\sqrt{2} } = \frac{x}{12\sqrt{2} }[/tex]

           [tex]\frac{1}{1 } = \frac{x}{12}[/tex]

          x = 12

Final answer:-

x = 12

Answer:

11 is 4:6

12 is 0

Step-by-step explanation:

Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Answer:

eleven times nine is ninety nine

Answer:

B.

Step-by-step explanation:

Answer:

a 1/10 10%

Step-by-step explanation:

Answer:

0.72 , 0.9 , 7/10 , 4/5

Step-by-step explanation:

This is how the order has to be and yeah

Answer:

180° - (360/n)°, where n is the number of sides of the polygon.

Step-by-step explanation:

Polygon has n sides.

Divide the polygon radially into n congruent, isosceles triangles.

For each triangle:

 vertex angle = (360/n)°

   sum of base angles = 180° - vertex angle = 180° - (360/n)°

Each interior angle of the n-gon = 180° - (360/n)°

SORT

I labeled in the picture provided a way these could be sorted. Greatest Valued Y points. That would be your explanation that states is required.

Answer:

answer is x = 2

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

:-))

hope it helps you

Answer:

sorry cnat help ya!

Step-by-step explanation:

Answer:

-6

-5

 -4

10

-5

-4

Step-by-step explanation:

Answer:

-18/3= -6

-5/-1= -5

24/-6 = -4

- 10/-1=10

-25/5=-5

-8/2=-4

-6/8 in decimal form is -0.75

Answer: The distance between them is 8.38 km

Step-by-step explanation:

Let's suppose both of them start at the point (0km, 0km), and that Jack walks along the positive x-axis, then Jill walks at an angle of 105° measured from the positive x-axis.

After 45 minutes, jack has walked 4.5km, then if his initial position was (0 km, 0 km)

Then his new position will be (4.5km, 0km)

Jill has walked 6km, but we need to write this in rectangular components.

We can think in this as a triangle rectangle, then the components will be:

x-component = 6 km*cos(105°) = -1.55 km

y-component = 6km*sin(105°) = 5.80 km

Then the new position of Jill is ( -1.55km, 5.80km)

Now, we know that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then the distance between Jill and Jack will be equal to the distance between ( -1.55km, 5.80km) and (4.5km, 0km)

This is:

Distance = √( (-1.55km - 4.5km)^2 + (5.80km - 0km)^2)

Distance = 8.38 km

This means that they are 8.38km apart.

Answer:

Bargain Busters shop sells the cheapest soup

Step-by-step explanation:

Bargain Busters sell 4 cans of soup for £3.76

Bargain Busters sell 1 cans of soup for

3.76÷4

=0.94

cost cutters sell 3 cans of soup for £2.85

cost cutters sell 1 cans of soup for 2.85÷3

=0.95

so

Bargain Busters<cost cutters

0.94<0.95

therefore

Bargain Busters shop sells the cheapest soup

simple formula for that is y×2=x

Answer:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }

Step-by-step explanation:

Given the set B

B={ 0,1,4,9,16,25}

Let us check the elements in set B.

[tex]x = 0 = 0^{2}[/tex]

[tex]x\:=\:1\:=\:1^2[/tex]

[tex]x\:=\:4\:=\:2^2[/tex]

[tex]x\:=\:9\:=\:3^2[/tex]

[tex]x\:=\:16\:=\:4^2[/tex]

[tex]x\:=\:25\:=\:5^2[/tex]

It is clear that each element in set B is a square of a whole number.

Thus, we can specify set of B by giving a written description of Its element in a variety of ways, such as:

B = { square numbers less than 30 }.

or

B = {x/x is square of a whole number; [tex]0 \leq x \leq 5[/tex] }

Answer:

$2.40 or $77.55

Step-by-step explanation:

I don't know if you are asking for how much off or what, so I'm doing both

First, we have to find how much we have to take off or what is 30% of 79.95 so our equation is:

79.95 x 0.03 = 2.40

So 30% of 79.95 is $2.40

To find how much our new price sale is, we have to take that $2.40 off so our equation is:

79.95 - 2.4 = 77.55

So our discount price is $77.55

hope this helps:)

Answer: x = 6

Step-by-step explanation: In the equation "x / 2 = 3, rewrite the equation as "x = 2 x 3" and solve for "x." The solution is "x = 6."

Answer:

4

Step-by-step explanation:

Answer:

Column 1 Row 1 is 150

Column 1 Row 2 is 80

Column 2 Row 1 is -1

Column 2 Row 2 is 1

Column 3 Row 1 is -300

Column 3 Row 2 is 1,700

Step-by-step explanation:

You can trust me on this. I have done my smart calculations to ensure I am 100% correct. If you think that I am wrong then you are a moron and ignorant.

Answer:

Step-by-step explanation:

Let the required number be x, then we have the following equation:

Answer:12

Step-by-step explanation:

8500 x 35% = 297.50 in simple interest per year

12000 - 8500 = 3500 in interest earned in total

3500/297.5 = 11.76 number of years to make total interest from amount per year.

If you round up, almost 12 years .

Answer:

-16,24  B

Step-by-step explanation:

To solve this simplify the equation until it's just the absolute value brackets

7=.5 |x-4|-3

Add 3 to both sides and divide by .5 to get

20=|x-4|

Then solve this equation where the leftmost side is a positive and then a negative

So 20=x-4  

x=24

24 is one of our answers

Then solve it when the left side is a negative

-20=x-4

x=-16 which is the other answer

Answer:50

Step-by-step explanation:

15/30= 0.5 which is 1% of the class

Multiply by 100 to get 100% of the class

0.5x100 = 50

Answer: It’s 0.75 is my best guess. Let me know if that wrong

Step-by-step explanation:

Answer: It’s 0.75 is my best guess. Let me know if that wronger:

Step-by-step explanation:

Answer:

The percent error is 83.6.