Answer:
56 cupcakes
Step-by-step explanation:
First, I convert 3/5 to a percent because I prefer to work with percents:
3/5 = 0.6 = 60%
Then, subtract 60% from 100% for the percent of the total cupcakes that JoJo needs to make:
100 - 60 = 40%
Finally, multiply the total cupcakes by the percent as a decimal:
140 × 0.4 = 56
Answer:
The valid value of x is x=-2
Step-by-step explanation:
we know that
The sum of the interior angles of any quadrilateral must be equal to 360 degrees
so

solve for x
Combine like terms


Divide by 10 both sides

The formula to solve a quadratic equation of the form
is equal to

in this problem we have

so

substitute in the formula





Remember that
The measure of the interior angle cannot be a negative number
For x=9
we have that the measure of one interior angle of quadrilateral is

substitute the value of x

therefore
The value of x=9 cannot be a solution
For x=-2
The measure of the interior angles are

therefore
The valid value of x is x=-2
The answer is 3x^2 - 3x - 3 with a remainder of -3
Answer:
P(A/B)=1.3
Step-by-step explanation:
P(0.40/0.30)=1.3
Answer:
The area of the new circle is 
Step-by-step explanation:
Given:
radius of the circle = 3 in.
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared.
Let
z-----> the scale factor
x-----> the area of the enlarged circle
y-----> the area of the original circle
So;

In this problem we have
----> the scale factor
The area of the original circle is equal to

Now substituting value of y and solve for x we get;

Hence Area of the new Circle is 
Also The area of the enlarged circle is 16 times the area of the original circle.