Answer:
121 smokers
Step-by-step explanation:
This can be calculated as a simple rule of 3.
In these problems, the first step is identifying the measures in the problem. Then, we must identify whether their relation is direct or inverse.
When it is direct, as one measure increases, the other will increase too.
When it is inverse, as one measure increases, the other will decrease.
In this problem, the measures are the number of people over 12 that smoke, and the total number of people over 12. Their relation is direct, because as the number of people increases, the number of smokers will increase too.
So we must solve the following rule of three:
22 smokers - 100 people
x smokers - 550 people
x = 550*22/100
x = 22*5.5
x = 121 smokers.
So, in a group off 550 people over the age of 12, there are 121 expected smokers.
Answer:
Step-by-step explanation:
"Find the values of x that satisfy 3x - 2x^2 = 7." Please do not use " × " to represent a variable; " × " is an operator, the "multiply" operator.
Rearrange these three terms in descending order by powers of x:
-2x^2 + 3x - 7 = 0. Here the coefficients are a = -2, b = 3 and c = -7, and so the discriminant of this quadratic is b^2-4ac, or 9 - 4(-2)(-7), or 9 - 56, or -47.
Because the discriminant is negative, we'll have two different complex roots here. The quadratic formula becomes
-3 ± i√47 -3 ± i√47
x = ----------------- = -------------------
2(-2) -4
Answer:
Volume of a cone: V = (1/3)πr2h.Step-by-step explanation:
We will want to multiply .45 ( the decimal form of 45%) by 350
.45 * 350 = 157.5
9514 1404 393
Answer:
see below
Step-by-step explanation:
Assuming i and j refer to the row and column of a given element, that matrix would be ...
![\left[\begin{array}{cc}2&3\\3&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%263%5C%5C3%264%5Cend%7Barray%7D%5Cright%5D)
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Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.
