Always use this formula to find a percentage:
<span>% / 100 = Part / Whole</span> replace the given values:
40 / 100 = Part / 150
Cross multiply:
40 x 150 = 100 x Part, or
6000 = 100 x Part
Now, divide by 100 and get the answer:
Part = 6000 / 100 = <span>60</span>
Answer:
120 cm^2.
Step-by-step explanation:
The area of one triangle = 1/2 * base * height
= 1/2 * 8 * 6
= 1/2 * 48
= 24 cm^2
So area of the pentagon = 5 * 24
= 120 cm^2.
Answer:
Ones place
Step-by-step explanation:
9 in 976.14 is the hundreds place.
7 is the tens place.
6 is the ones place.
1 is the tenths place.
4 is the hundredths place.
Given:
The function is:

To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,

Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Isolate variable y.


Step 4: Substitute
.

Therefore, the inverse of the given function is
and the graphs of these functions are shown below.
Answer:
y = 3x
Step-by-step explanation:
Given
9x - y = - 6x + 4y ( subtract 4y from both sides )
9x - 5y = - 6x ( subtract 9x from both sides )
- 5y = - 15x ( divide both sides by - 5 )
y = 3x