1. 72 to 50 points
50/72 = 69%
100-69= 31% decrease
2. 14 to 40 books
14 / 40 = 35%
100-35= 65% increase
3. 10 plus 30% increase
10 * 0.3 = 13
Answer:
1/4
Step-by-step explanation:
There are 4 slices
3 of the 4 slices has pepperoni
4-3=1
There is 1 slice without pepperoni, making 1/4th of the pizza pepperoniless.
<em>Brainliest would be appriciated</em>
Answer: 24 cups.
Step-by-step explanation:
Let be "x" the amount of cups of peaches that Fred will need to make 60 cups of fruit salad.
According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:
Which can also be written as a fraction:
Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.
Knowing the above, you can set up the following proportion:
Now you must solve for "x" in order to find its value. This is:
Answer:
The series is convergent answer ⇒ (a)
Step-by-step explanation:
* The series is -8/5 + 32/25 + -128/125 + ........
- It is a geometric series with:
- first term a = -8/5 and common ratio r = 32/25 ÷ -8/5 = -4/5
* The difference between the convergent and divergent
in the geometric series is :
- If the geometric series is given by sum = a + a r + a r² + a r³ + ...
* Where a is the first term and r is the common ratio
* If |r| < 1 then the following geometric series converges to a / (1 - r).
- Where a/1 - r is the sum to infinity
* The proof is:
∵ S = a(1 - r^n)/(1 - r) ⇒ when IrI < 1 and n very large number
∴ r^n approach to zero
∴ S = a(1 - 0)/(1 - r) = a/(1 - r)
∴ S∞ = a/1 - r
* If |r| ≥ 1 then the above geometric series diverges
∵ r = -4/5
∴ IrI = 4/5
∴ IrI < 1
∴ The series is convergent
<u>Answer:</u>
<u>Step-by-step explanation:</u>
We are given the following two functions and we are to find 
:
