You can set this up as an algebraic equation using the ratio:
=
where x = number of skiers
Cross multiply:
x + 1250 = 2x
Solve for x:
-x = -1250
x=1250
To find the number of snowboarders, add 1250.
1250 + 1250 = 2500
1250 skiers and 2500 snowboarders bought season passes.
Answer:
Step-by-step explanation:
Using the Foil method
you multiply x times x and get 
Then you multiply -4 times X and get -4x
Then you multiply -3 times X and get -3x
then you add -4 and -3 together and get -7x
Lastly you multiply -4 and -3 and get 12
And there you have it
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is 
, you already have the 
and another side which can be 
or 
.
Because you have the hypotenuse and a side , your equation looks like this now: 
and when you solve for be you just subtract 
to get 24.
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
Step-by-step explanation:
-3x-9
divide the equation by -1 so that the -1's are taken from -3x and -9. so the -1 goes on the outside of 3x+9
-1(3x+9)
then divide the equation by 3 since 3x and 9 is divisible by 3.
(-1)(3)(3/3x+9/3)
-3(x+3)
Now we can expand again to check the problem
-3 times x=-3x
-3 times 3=-9
and add
-3x-9
Hope that helps :)
