Well first you would set up your ratio, 17/x = 35/100. You are trying to find x. To do so you cross multiply and divide. So first you have 17× 100 which equals 1700. The you divide that number by 35 which is around 48 like you said. I usually just round to the hundredths place so just cut it at 48.57 but to be safe say approximately 48.57
16a. 21cm. bc when it has 10 grams it moves half of that to 5cm so divide 42 by 2 and you get 21cm
17. remember y=mx+b; m is slope and b is y-intercept
you have to put your equation from point slope to y=mx+b
4x+y=6
subtract 4x from each side
y=-4x+6
slope = -4
y-intercept= 6
hope this helped :)
Answer:
There are
five dollar bills and
ten dollar bills.
Step-by-step explanation:
Given:
Selling price of bicycle
.
The friend gave
five dollar bills and
ten dollar bills.
Total number of bills
.
To find: Number of five dollar bills and ten dollar bills the friend gave.
Solution:
The friend gave
five dollar bills and
ten dollar bills and the friend gave
bills in all.
So,
.

Selling price of bicycle
.
So, 
Putting the value of
from equation
in equation
.







Now, putting the value of
in equation
.


Hence, there are
five dollar bills and
ten dollar bills.
Answer:
-6/7
Step-by-step explanation:
The slope of DE is ...
(change in y)/(change in x) = (y2 -y1)/(x2 -x1) = (-3-4)/(1-7) = -7/-6 = 7/6
The slope of the line perpendicular to DE is the negative reciprocal of this:
perpendicular slope = -1/slope = -1/(7/6) = -6/7
___
Answer:
The rate of change of function g is: 3/2
Step-by-step explanation:
Given the table of function g
x y
2 4
4 7
6 10
8 13
We know that rate of change is also termed as the slope of the function.
Thus,
let us take any two points, let say
(2, 4) and (4, 7)
Determining the slope between (2, 4) and (4, 7)
(x₁, y₁) = (2, 4)
(x₂, y₂) = (4, 7)
Using the formula
Rate of change or Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [7 - 4] / [4 - 2]
= 3 / 2
Thus, the rate of change of function g is: 3/2