Add 2 hours to make it 9:30, which is too long. Then subtract one minute to make it 9:29. so the answer is 1 minute less than 2 hours, or 1 hour and 59 minutes

3 0

4 years ago

Select the correct responses in the table. The relationship between two numbers is described below, where x represents the first

zhenek [66]

9514 1404 393

Answer:

x² = y + 16
4y - 1 = 7x
(5, 9)

Step-by-step explanation:

Writing equations from words is mostly a matter of understanding what the English words mean.

If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:

x² = y + 16 . . . . the first equation

The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...

4y -1

This is equal to the first number (x) multiplied by 7, so ...

4y -1 = 7x . . . . the second equation

These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...

(x, y) = (5, 9)

3 0

3 years ago

The volume of a cylinder is 40 3. Which expression represents the volume of a cone with the same base and height as the

Novosadov [1.4K]

Answer:

$V_{cone}=\frac{1}{3} \,40\,\,ft^3$

Step-by-step explanation:

I believe you wanted to type that the volume of a cylinder is 40 cubic feet, and try to find what the volume of the same base and height would be in comparison.

Recall that the volume of a cylinder of base B and height H is given by the formula:

$V_{cyl}=B * H$

Recall as well that the volume of a cone of base B and height H is given by the formula: $V{cone}=\frac{1}{3} B*H$

Therefore, if the cone has the same base (B) as the cylinder, and equal height (H), then we can say that the volume of the cone is "one third" of the volume of the cylinder, which in Math terms is written as:

$V_{cone}=\frac{1}{3} \,V_{cyl}$

Therefore, in our case, given that the volume of the cylinder is 40 $ft^3$ , the volume of the cone would be:

$V_{cone}=\frac{1}{3} \,40\,\,ft^3$

8 0

4 years ago