Cubing both sides of an equation is a reversible process. Detailed explanation: Squaring both sides isn't reversible because squaring a negative number produces a positive result, thus making it impossible to retrieve the original negative base, as square roots of negative numbers do not exist within real numbers. In contrast, cubic powers allow for reversibility; the cubic root of a negative number remains negative. For example, if we cube both sides and wish to revert to the original equation, we can do so using the cubic root on each side. Hence, cubing both sides is reversible.
Answer:
The converse is:
If the ratio of left-handers to right-handers is 1: 8, then for every 3 left-handed individuals, there are 24 right-handed individuals.
The truth value is: True
Step-by-step explanation:
This statement can be expressed as:
p -> If a class contains 3 left-handed individuals and 24 right-handed individuals,
q -> the ratio of left-handed to right-handed individuals is 1:8.
The converse of a conditional statement is:
if q then p.
Thus, we have the converse as:
if the ratio of lefties to righties is 1: 8, then for each 3 left-handed individuals, there are 24 right-handed individuals.
The truth value is as follows:
For p, we find the ratio = 3: 24,
which simplifies to.
Ratio = 1: 8.
For q, we have:
Ratio = 1: 8.
Since both conditions are accurate, the truth value is true.
Answer:
Well, 1000>(15x+t)+(50x+100t) if there are children aboard.
B. The maximum amount is 19 if one adult is going with 18 children (meal plan excluded). Meanwhile, $1000
C. If solely adults are participating, then a maximum of 8 adults can join if they plan to use the raffle ticket for meals as well. Otherwise, the maximum number would be 10.
I hope this interpretation is accurate.
To determine the number of bags, we simply compute the quotient, which yields:
(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags
Since bags can't be represented in decimals, only 2 bags can be filled. The remainder is 0.4 which can be expressed as:
0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds
Answer:
<span>2 bags are filled, with 2/15 pounds of granola remaining</span>
Assuming the cost of 1 liter of milk is x$
and the cost of 1 loaf of bread is y$
Based on the information provided
the equations are 333x + 555y = 11
and 444x + 444y = 10
By subtracting these expressions,
we derive
(333x + 555y = 11) * 444
(444x + 444y = 10) * 333
(-) (-) (-)
147852x + 246420y = 4884
147852x + 147852y = 3330
(-) (-) (-)
------------------------------
98568y = 1554
y = 1554/98568
= 0.0157$
= 0.02$
Cost of 1 loaf of bread is 2 cents
Substituting the value of y back in
333x + 555*0.0157 = 11333x + 8.7135 = 11333x = 2.2865x = 2.2865/333x = 0.00068$ = 0.01$
Cost of 1 liter of milk = 1 cent
1.5
