Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
6 7/8 pints
Step-by-step explanation:
The amount of water in a barrel decreases 9 5/8 pints in 7 weeks. The water decreases the same amount each week. What is the change in the amount of water in pints in the barrel in 12 weeks?
From the question, we know that:
7 weeks = 9 5/8 pints
12 weeks = x
Cross Multiply
7x = 12 × 9 5/8
x = 12 × 9 5/8/7
x =( 12 × 77/8 ) ÷ 7
x = 12 × 77/8 × 1/7
x = 12 × 11/8
x = 16 1/2 pints
The change in the amount of water in pints in the barrel in 12 weeks is calculated as:
16 1/2 pints - 9 5/8 pints
Lowest common denominator = 8
7 + (4 - 5/8)
7 + (-1/8)
= 6 7/8 pints
Answer:
$4.74
Step-by-step explanation:
When you find out what 20% of $3.95 is, you multiply 3.95 by 0.2, getting 0.79, which you should add to 3.95, getting 4.74.
Another way of doing this is to multiply 3.95 by 1.2, to get 4.74
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
Answer:
Number each of the treatments 1 — 3 and place them into a hat.
Step-by-step explanation:
Number each of the treatment I — 3 and place them into a hat. Shake the hat vigorously to mix the lumbers. Then for each plot of land, draw out a umber. The number drawn out from the hat will represent the treatment that will be imposed on the plot.
The number drawn out of the hat will be replaced and another number will be drawn for the next plot of land. Then, at the end of the experiment, the plant biomass of each plot will be measured and an average will be taken for all three treatments to determine which treatment had the greatest effect on plant biomass.