Answer: 30
Step-by-step explanation:
Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.
Let x be the number of golf balls in a bag that weighs 1,110 grams.
Then we have the following direct variation equation,
Multiply 1110 both sides , we get
Hence, there are 30 balls in the bag.
Answer: I think that it's not One but It's <u><em>ZERO</em></u> because a tangent line can only touch the circle at one point and if it touches the small circle once it would have to go through the larger one twice.
Edit: I just checked and it's definitely<u><em> ZERO</em></u>
Answer: The distance between the girls is 362.8 meters.
Step-by-step explanation:
So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.
The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:
Tan(A) = opposite cath/adjacent cath.
Tan(40°) = X/160m
Tan(40°)*160m = 134.3 m
Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°
So we have:
Tan(55°) = X/160m
Tan(55°)*160m = X = 228.5 m
And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:
Dist = 228.5m + 134.3m = 362.8m
1. You have the following information given in the problem above:
- Ella mixed<span> two kinds of candy the price of which was $2 and $4 per pound.
- Ella got a 10-lb mix of candy, which cost $2.90 per pound.
</span>
2. Therefore, let's call:
x: pounds of the first kind of candy.
y: pounds of the second kind of candy.
3. Then, you have:
2x+4(10-x)=(2.90)(10)
4. When you clear x, you obtain:
2x+40-4x=29
-2x=29-40
x=-11/-2
x=5.5 pounds
x+y=10
y=10-x
y=10-5.5
y=4.5 pounds
