4. 12×23= 276 ounces <span>for 23 packages of flavoring</span>
1 pound ≈ 0.4536 kg.
3 pounds ≈ 3 * 0.4536 ≈ 1.3608 kg
Hence 3 pounds ≈ 1.3608 kg.
Answer:
Bottom left (each term in pattern X is 1/3...)
Step-by-step explanation:
If you look at the 2nd row, you will recognize that when you multiply 15 times 1/3, you will get 5, which is 1/3 of 15. You will recognize this pattern across the whole table.
Answer:
0.4p or p-0.6p
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
- For finding the price we pay during a sale, we focus on the percent we pay. If 60% off is the sale, then we spend 40% or 100-60=40. 40% is 0.40. Multiply that by p an unknown price and we have 0.4p.
- We can find the percent off by multiplying the price by the percent conversion. So 60% is 0.60. Then subtract it from the original price to find the leftover that we pay. This is p-0.6p.
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
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We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
