Answer:
2.6 pounds of apples; 1.2 pounds of bananas
Step-by-step explanation:
A = pounds of apples and B = pounds of bananas
The total weight is 3.8 pounds, so:
A + B = 3.8
Apples are $1.90 per pound and bananas are $0.75 per pound, and the total cost is $5.84, so:
1.90A + 0.75B = 5.84
We can solve the system of equations using either elimination or substitution.
Using substitution:
1.90A + 0.75(3.8 - A) = 5.84
1.90A + 2.85 - 0.75A = 5.84
1.15A = 2.99
A = 2.6
B = 3.8 - A
B = 1.2
Step-by-step explanation:
initial speed = 272 ft/s
h = -16t² + 272t
a. 1120 = -16t² + 272t we change a bit into
16t² - 272t + 1120 = 0 then divide all with factor 16
t² - 17t + 70 = 0
(t - 10)(t - 7) = 0
t = 10 and t = 7
7 s when it goes up and 10 sec when the rocket goes down.
b. 1152 = -16t² + 272t we change a bit into
16t² - 272t + 1152 = 0 then divide all with factor 16
t² - 17t + 72 = 0
(t - 9)(t - 8) = 0
t = 9 and t = 8 sec
c. since the answer of a and b is:
7 sec and 8 sec the rocket goes up but at 9 sec and 10 sec the rocket goes down then we can take conclusion that the maximum height is reached at 8.5 s
so how long the rocket in the air?
goes up : 8.5 sec
goes down : 8.5 sec
total = 17 sec
Answer:
option B. G
Step-by-step explanation:
Let
y ---->ounces of orange juice
x ---> ounces of pineapple juice
we know that
The ratio of orange juice to pineapple juice is equal to
substitute the given values
simplify
<u><em>Verify each graph</em></u>
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
we have
that means
5 ounces of orange juice per 3 ounces of pineapple juice
Graph F
The slope is
Graph G
The slope is
Graph H
The slope is
Graph J
The slope is
The value of 2 is the value closest to 1.67
therefore
The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G
Answer:
Five years ago, Benjamin invested in Parchar Special Effects. He purchased four par value $1,000 bonds from Parchar Special Effects at a market rate of 96.230. Each bond had an interest rate of 7.2%. Benjamin also purchased 200 shares of stock in the same company, each of which cost $19.08 and had a yearly dividend of $2.04. Today, bonds from Parchar Special Effects have a market rate of 104.595, and stock in Parchar Special Effects costs $22.62. If Benjamin liquidates his portfolio and sells all of his investments, which aspect of his investment will have yielded him a greater total profit, and how much greater is it?
- Step-by-step explanation:
