Answer:
Ounces of strawberry juice: 20 ounces
Ounces of water: 80 ounces
Step-by-step explanation:
For this problem, we can use the equation:
x + y = 100 ounces
Where x = The number of ounces of strawberry juice
and y = The number of ounces of water
Since we know that Molly uses four times as many ounces of water for each ounce of strawberry juice, we can conclude that:
y = 4x
With this information, we can use substitution to solve for x.
x + y = 100 ounces
x + (4x) = 100
Combine like-terms.
5x = 100
x = 20
Now that we know the value of x, we can figure out how many ounces of strawberry juice and how many ounces of water Molly needs.
Since x = The number of ounces of strawberry juice, Molly needs to use 20 ounces of strawberry juice.
Since y = The number of ounces of water, Molly needs to use 80 ounces of strawberry juice. (y = 4x | x = 20 | y = 4(20) | y = 80)
~Hope this helps!~
Answer:
Number of sand bags needed = 124
Step-by-step explanation:
Diameter of garden = 40 yd
Width of path = 6 yd
Diameter of garden with path = 40 + 2 x 6 = 52 yd
We need to find area of path.
Area of path = Area of garden with path - area of garden
Area covered by one sand bag = 7 yd²
Number of sand bags needed = 124
Add all the number, and then divide it by number of numbers.
for example, 1, 2, 3, 7, 10
(1+2+3+7+10)/5
23/5 = 4.6 The average is 4.6
First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
Answer:
2nd friend heading west
Step-by-step explanation:
This is actually pretty easy to explain.
You and a friend are near a tree and decide to walk away from it. At the beggining you walked 15 yards and your friend too, and then, there's the turn of event. You walked 8 yards toward north east, and your friend 8 yards towards south west.
The key to know which is further from the tree is the angle of turning of both. We need to calculate the component in x from both persons, and then, add it to the previous 15 yards. This way we will know who is further.
Let's begin with the 1°, the one who's heading east:
X = 15 + 8 cos45° = 20.66 yards
Now the friend heading west:
X = 15 + 8 cos40° = 21.13 yards
With these results we can conclude that the 2nd friend is further from the tree.
Hope this helps