Initial: 200 feet = opp. side
Angle = 17.31, adj. Side = a
So tan (17.31) = opp. Side / adj. Side
tan (17.31) = 200 / a
--> a = 200/tan17.31 = 641.73
When stopped: adj. Still = a
Opp. Side still = 200, angle = 46.41
tan46.41 = 200 / a
--> a = 200/tan46.41 = 190.39
Now subtract those two distances to get the distance traveled from initial to when it stopped:
641.73 - 190.39 = 451.34 feet
Answer:
x = -1, y = -4
Step-by-step explanation:
Let's solve our system of equations by substitution.
y = 5x + 9y = −x + 3
Step: Solve = 5x + 9 for y:
y = 5x + 9
Step: Substitute 5x + 9 for y in y = −x + 3:
y = −x + 3
5x + 9 = −x + 3
5x + 9 + x = −x + 3 + x (Add x to both sides)
6x + 9 = 3
6x + 9 + −9 = 3 + −9 (Add -9 to both sides)
6x = −6
6x/ 6 = −6/6(Divide both sides by 6)
x = −1
Step: Substitute −1 for x in y = 5x + 9:
y = 5x + 9
y = (5)(−1) + 9
y = 4(Simplify both sides of the equation)
So our answers are y = -4 and x = -1.
If you put them in desmos online it works
Answer:
4.5 per package
Step-by-step explanation:
Though they give us 4 different pairs of values on the table, we only need 1 pair to solve this question. For simplicity, lets chose the pair of whole numbers:
54 : 12
This is the ration of servings to packages, or the servings per package.
To get our answer, we must find how many servings per 1 package, so we need to divide by 12:
=
4.5 : 1
This means that there are 4.5 servings per 1 package!
Hope this helps!
It is perfect because they put the right amount in
