Answer:
1. 2x + 3y = 240 AND x + y = 100
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
Step-by-step explanation:
Let
Number of cups of lemonade sold = x
Number of cups of orange juice sold = y
The system of equation could be represented by:
2x + 3y = 240 (1)
x + y = 100 (2)
from (2)
x = 100 - y
Substitute into (1)
2x + 3y = 240 (1)
2(100 - y) + 3y = 240
200 - 2y + 3y = 240
- 2y + 3y = 240 - 200
y = 40 cups
Substitute y = 40 into (2)
x + y = 100 (2)
x + 40 = 100
x = 100 - 40
x = 60 cups
Nayeli sold 60 cups of lemonade and 40 cups of orange juice.
(x, y) = (60, 40)
9514 1404 393
Answer:
- plurality: San Francisco
- plurality with elimination: New York
Step-by-step explanation:
Using the plurality method, the city with the most first-place votes wins the selection. Here, that is San Francisco, with 16 votes. Behind that is New York with 14 first-place votes.
If elimination is used, the selection with the fewest first-place votes (Chicago) is eliminated from the table, and all rows below are shifted up. Now, the first place row has 16 votes for San Francisco and 18 votes for New York.
San Francisco wins the plurality election.
New York wins the plurality-with-elimination election.
Answer:
10859.94
Step-by-step explanation:
To solve this, you need to know the formula for solving the area of a circle: πr²
The first thing you should do is find the area of the square: 78 x 78 = 6084
Then, we find the area of the circle. To do this, we must figure out the radius. Luckily, the problem states that the combined diameter of both half circles is 78, which means the radius is 39. Then, we can apply the formula: π39².
39² = 1521
1521 x 3.14 = 4775.94
This is the combined area of both half circles.
Finally, we have to add: 4775.94 + 6084 = 10859.94
Answer:
M = 1.5
Step-by-step explanation:
First, apply the distributive property to the problem. For this, you will multiply 4 x m, then 4 x 3.
Now, your problem looks like
4m + 12 = 18
Next, you need to get the variable isolated. For this, you need to subtract 12 from both sides.
Now, your problem looks like
4m = 6
Next, you can divide both sides by the non-constant term, which is 4m, so divide by 4.
Now, your problem looks like
M = 1.5
~theLocoCoco
