Answer:
a. The slope is 5/4
b. The equation in slope and intercept form is y = 5/4·x + 12
c. The base cost of making a fruit juice is $12
Step-by-step explanation:
The equation that gives the cost in dollars of making your own fruit juice is given as follows;
y - 2 = 5/4·(x + 8)
a. The slope = The coefficient of x = 5/4
The slope = 5/4
b. The equation can be presented in slope and intercept form, y = m·x + c, as follows;
y - 2 = 5/4·(x + 8)
y = 5/4·x + 10 + 2
y = 5/4·x + 12
c. The base cost of making a fruit juice = The cost added to any quantity of fruit, x made = The y-intercept, c = 12
The base cost of making a fruit juice = $12.
Answer:
6 liters
Step-by-step explanation:
Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...
0.20·10 +1.00x = 0.50(10+x)
x +2 = 0.5x +5 . . . . . eliminate parentheses
0.5x = 3 . . . . . . . . . . .subtract 2+0.5x
x = 6 . . . . . . . . . . . . . multiply by 2
6 liters of pure concentrate must be added to make a 50% punch.
Answer:
Statement expressed by Trent is RIGHT.
Step-by-step explanation:
Here, the given expression is:
( to show) :
Now, as we know by DISTRIBUTIVE PROPERTY:
A (B + C) = AB + AC
Consider the RHS of the expression:
(p +30)(p+0) = (p +30)(p) ............ ( a + 0 = a for all a)
Simplifying (p +30)(p) by distributive property, we get:
⇒ Left side = Right side
Hence, statement expressed by Trent is RIGHT.
The smallest number is 67/1000, then 0.672, then 68%, then 0.7, and the largest is 0.7
