Answer:
630 milliliters.
Step-by-step explanation:
The statement tells us that the final product is 14 jars of honey peanut butter and that in each jar use 45 mliliters of honey. This means that to know the total honey to be used, the required quantity for each jar must be multiplied by the total number of jars, that is:
14 * 45 = 630
Which means that he would spend a total of 630 milliliters.
The difference between set of whole numbers and a set of integers is that:
Whole numbers = {0, 1, 2, 3, 4, 5...}
Integers = {..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...}
If we name contents of the first set as n, in the second set you can have 2n-1 numbers (because we count 0 only once in both sets).
Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
600 + 300 + 150 + . . . is a geometric sequence with a = 600 and r = 1/2
Sn = a(1 - r^n)/(1 - r)
S5 = 600(1 - (1/2)^5)/(1 - 1/2) = 600(1 - 1/32)/(1/2) = 1,200(31/32) = 1,162.5
