Answer:
27 times bigger
Step-by-step explanation:
V(sphere) = 4/3πr³
Michael: 4/3π3³ = 4/3×27π or 36π
Patrick: 4/3πr³ = 4/3πx9³ or 4/3x729π or 972π
36π to 972π is 1 : 27
3 gallons in 15 seconds would be 3/15
so for 1 gallon 15/3 = 5
it would be 1 gallon every 5 seconds so 1/5
A and F are the only set of ordered pairs that work in both of the equations above.
In order to find these you must place them into each equation and check for truth. Below is the work for A and F.
Ordered Pair A : (0,6)
y > 6x + 5
6 > 0 + 5
6 > 5 (TRUE)
y < -6x + 7
6 < 0 + 7
6 < 7 (TRUE)
Ordered Pair F : (-2, 18)
y > 6x + 5
18 > - 12 + 5
18 > -7 (TRUE)
y < -6x + 7
18 < 12 + 7
18 < 19 (TRUE)
Answer:
$11.47
Step-by-step explanation:
In order to calculate Mrs.Jackson's total we first need to turn the fractions into decimals by simply dividing the numerator by the denominators like so...
2/3 = 0.66
1 1/4 = 1.25
1/2 = 0.50
Now we need to multiply each products cost by the amount they bought in decimal form, then finally add them all together...
($0.51 * 0.66) + ($2 * 1.25) + ($4.50 * 0.50) + ($3.19 * 2) = x
0.34 + 2.5 + 2.25 + 6.38 = x
$11.47 = x
Finally, we can see that Mrs. Jackson's total was $11.47
