Answer:
- The equation 2n = p should be 2p = n.
- The actual cost of the onions is $3.00 per pound.
- Potatoes cost $1.50 per pound.
Step-by-step explanation:
The wording "onions cost twice as much as potatoes" is understood to mean the cost per pound of onions (n) is equal to two times the cost per pound of potatoes (2p). Then the appropriate equation would be ...
2p = n
Then the solution is ...
6p +3(2p) = 18
12p = 18
p = 18/12 = 1.50
n = 2p = 2(1.50) = 3.00
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The equation should be 2p = n; onions cost $3.00 per pound; potatoes cost $1.50 per pound.
Answer:
$82.5
Step-by-step explanation:
$16.50 * 5 = $82.5
K^2-5k-50
(k-10)(k+5)
This is because k*k=k^2 (your first term), 5k-10k=-5k (your second term) and -10*5=-50 (your last term).
Distribute to check.
Answer:
Step-by-step explanation:
We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:
y = 10x
Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:
2(x + y) = xy and we know that y = 10x so
2(x + 10x) = x(10x) and
and
and
x(10x - 22) = 0 so
x = 0 or 10x - 22 = 0 which makes
x equal to 
So x = 2.2 and y = 22.
