He used 40 pounds of the candy worth $1.25 and 30 pounds of the candy worth $1.6.
Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
Answer:
a. $13
b. $3
Step-by-step explanation:
Juan wants to start a lemonade stand to earn money. He needs money to purchase the materials before he can sell the lemonade and earn money. His mother agrees to loan him $10. He makes a list of the items he wants to buy.
Cups $2
Lemons $8
Sugar $3
a. How much money do the supplies cost?
b. How much money does he have to spend?
a. Cost of each supply;
Cups $2
Lemons $8
Sugar $3
Total cost of the supplies = $2 + $8 + $3
= $13
b. How much money does he have to spend?
His mother agreed to loan him $10
Total cost of supplies = $13
Amount of money he has to spend = Total cost of supplies - Loan from his mother
= $13 - $10
= $3
300/5= 60
60x4(children)=240
240 seats will be for children and 60 seats for adults.
The explicit formula of the sequence is given by a_n = -4n(n-1).
We have to find the first five terms of the sequence.
The first term:
The second term:
The third sum:
The fourth term:
The fifth term:
Thus, option D is correct.
