49.5 / 71.5 = x / 97.5
x = 49.5 * 97.5 / 71.5
x = 67.5
answer
x = 67.5 ft
Answer:
The horizontal distance the ball travels before it hits the ground is 22.
feet
Step-by-step explanation:
The given parameter are;
The function modelling the path of the ball tossed by Nate y = -14·x² + 335·x
x = The horizontal distance the ball travels from Nate in feet
y = The height of the ball in feet
The line equation modelling the hill is y = 15·x
The point where the ball hits the ground is given by the point the graph of the equation for the path of the ball and the path of the model of the line of the hill meet as follows;
Ball path is y = -14·x² + 335·x
Hill path is y = 15·x
The point both paths meet and the ball hits the ground is -14·x² + 335·x = 15·x
Which gives;
-14·x² + 335·x - 15·x = 0
-14·x² + 320·x = 0
320·x - 14·x² = 0
x × (320 - 14·x) = 0
x = 0, or x = 320/14 = 22 6/7 = 22.
feet
Therefore;
The horizontal distance the ball travels before it hits the ground = x = 22.
feet.
Dividing a whole number and an improper fraction seems tricky, but it just has one or two more steps than the normal process. First, convert the whole number "9" into a fraction by giving it a denominator of "1". It should look like 9/1. Now that both numbers are converted into like formats (improper fractions), you should have 9/1 divided by 5/3.
Second, flip 5/3 over into 3/5 - this is the "reciprocal". Now you have 9/1 divided by 3/5. It's just a matter of multiplying across the math sentence. Multiply the numerators (9x3) and the denominators (1 x 5). Your new fraction should be 27/5. This is your answer in the improper fraction format.
You can create other formats depending on the expected answer. For a mixed number, "divide your fraction UP" (27 divided by 5) which gives you 5 and 2/5. This can be further converted into 5.4 if you need your answer in decimal form.
ANSWER

EXPLANATION
The given expression is

To find an expression for d in terms of a, b, and c, means we want to make d the subject of the relation.
This means that, we need to isolate d on one side of the equation while all other terms are on the other side.
We subtract from both sides of the equation to obtain,

We now divide through by -1, to get,

Or

The topic is change of subject
3 packages because you'll have 15 beads left over. which would complete the use of the packages