Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where 
models the height of the ball in meters and 
the time.
Now, let's find the time when the ball Sara kicked hits the ground (this is when 
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by 
:
(4)
This quadratic equation can be written in the form 
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.
First, there was $37.50.
Then, there was a tax of 8%.
Then, there was a tip of 18%.
Since the tip is after the tax, it's not going to affect it, and we can essentially ignore it.
The real question here is just <em>what is 8% of $37.50?</em>
To find the percent of something, first you need to put the percent as a decimal.
8% in decimal form is 0.08 (If you think about it literally, they're both 8 hundredths)
Finally, just multiply the percent in decimal form by the number.
37.50 dollars × 0.08 = 3 dollars.<em />
Answer:
To get answer A, Dave took 47*5 = 235
Step-by-step explanation:
There are 147 containers that contain 5 gallons each. We need to multiply to find the total number of gallons.
total number of gallons = containers * number of gallons per container
= 147* 5 gallons per container
=735 gallons
To get answer A, Dave took 47*5 = 235
-4x + 7y = 9 ⇒ -4x + 7y = 9 ⇒ 8x - 14y = -18
2y = -5x - 22 ⇒ -5x - 2y = 22 ⇒ <u>-35x - 14y = 154</u>
<u>43x</u> = <u>-172</u>
43 43
x = -4
-4x + 7y = 9
-4(-4) + 7y = 9
16 + 7y = 9
<u>- 16 - 16</u>
<u>7y</u> = <u>-7</u>
7 7
y = -1
(x, y) = (-4, -1)
Arrays are useful models for multiplication which can be used in a variety of ways, ranging from highly structured lessons to games and open investigations. An array is formed by arranging a set of objects into rows and columns. Each column must contain the same number of objects as the other columns, and each row must have the same number as the other rows.
The following array, consisting of four columns and three rows, could be used to represent the number sentence 3 x 4 = 12.
