Answer:
The new pressure of the gas is 42 pounds per square inches.
Step-by-step explanation:
When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.
We can rewrite the above equation is
[at constant temperature]
At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.
The volume of the gas is decreased to 31 cubic inches.
Here,
= 93 cubic inches, 
= 14 pounds per square inches,
=31 cubic inches, 
= ?
pounds per square inches
The new pressure of the gas is 42 pounds per square inches.
X = 6y - 3
x + y = 53
6y - 3 + y = 53
7y - 3 = 53
7y = 53 + 3
7y = 56
y = 56/7
y = 8
x = 6y - 3
x = 6(8) - 3
x = 48 - 3
x = 45
ur numbers are : 8 and 45
Answer:
two possible combinations are
- 7 cups of lemonade and 11 cupcakes
- 10 cups of lemonade and 5 cupcakes
Step-by-step explanation:
Remember that the radicand (the area under the root sign) must be positive or zero for a radical with an even index (like the square root or fourth root, for example). This is because two numbers squared or to the fourth power, etc. cannot be negative, so there are no real solutions when the radicand is negative. We must restrict the domain of the square-root function.
If the domain has already been restricted to
, we can work backwards to add 11 to both sides. We see that
must be under the radicand, so the answer is
A.
