192 people were survey
Step-by-step explanation:
The given is:
- 85% of the people survey thought the price of the car wash was reasonable
- 164 people thought the cost of the car wash was reasonable
We need to find how many people were survey
Assume that x people were survey
∵ There were x people survey
∵ 85% of them thought the price of the car wash was reasonable
∴ The number of the people who thought the price of the car wash
was reasonable = 85% × x
∵ 85% =
= 0.85
∴ The number of the people who thought the price of the car wash
was reasonable = 0.85 x
∵ 164 people thought the cost of the car wash was reasonable
- Equate 0.85 x and 164
∴ 0.85 x = 164
- Divide both sides by 0.85
∴ x = 192.94
∵ x represents a number of people, then it must be integer
∴ The number of people were survey = 192
192 people were survey
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Answer:
y = (x+3)² - 1
Step-by-step explanation:
To complete the square take the middle term b and divide by 2. Then square the value.
Here b = 6.
So 6/2 = 3
3² = 9
Add 9 to both sides of the equation.
x² + 6x + 8 = 0
x² + 6x + 9 + 8 = 9
(x+3)² - 1 = y
Given expression is x² - 121
This is called Difference of Squared terms, we have a formula that is given as :-
a² - b² = (a - b) · (a + b)
Now using the above formula in the given expression, we get :-
x² - 121
x² - (11)²
here a = x and b = 11
x² - (11)² = (x - 11) · (x + 11)
but it says that student gave the answer as (x - 11) · (x - 11).
So, student's answer should be (x - 11) · (x + 11) instead of product of two (x - 11) terms.
Interest equals principle (the amount that you had to begin with) times the rate (the rate if interest) times the time (usually in years)
Answer:
N= -14
Step-by-step explanation:
first you add 16 to both sides, then -30 + -16 = -14