Answer:
12 small boxes
8 large boxes
Step-by-step explanation:
let x be the number of small boxes shipped
let y be the number of large boxes shipped
This means:
the total number of boxes is 20, so
x + y = 20
the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so
50x + 100y = 1400
Then, solve
First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50
x + 2y = 28
Now, subtract the two equations:
x + 2y = 28
- (x + y = 20)
y = 8
Now plug this into the equation x + y = 20
x + 8 = 20
x = 12
So the number of small boxes is 12 and the number of large boxes is 8.
Here's a graph:
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Greetings from Brasil...
Let's apply the given formula:
A = (1/2)·B·H
The base of this polygon (in this case, the triangle) is B
B = X² - 2X + 6
The height of this polygon is H and is H
H = X + 4
Applying these values (B and H) in the given formula.....
A = (1/2)·B·H
A = (1/2)·(X² - 2X + 6)·(X + 4)
A = (1/2)·(X³ + 2X² - 2X + 24)
A = (X³/2) + X² - X + 12
OR
A = (X³ + 2X² - 2X + 24)/2
Answer:
.90
Step-by-step explanation:
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