Answer:
Step-by-step explanation:
Given rectangle JKLM
As per graph, the rectangle J'K'L'M' is the transformation of JKLM
Based on one of the points we can calculate the transformation rule:
<u>Let's use points K and K'</u>
- K((-4, -8) → K'(6, -5)
- 6 - (-4) = 10
- -5 - (-8) = 3
<u>So the rule is </u>
- (x', y') → (x + 10, y +3)
<u>Trapezoid STUV:</u>
<u>Applying same rule:</u>
- T' = (6 + 10, 4 +3) = (16, 7)
C would be the right answer
First, solve
Substitute that into equation
Substitute y = 125 into
There were 235 adult tickets and 125 junior tickets.
Hope this helps. - M
Answer:
The probability that a student earns a grade of A is 1/7.
Let E be an event and S be the sample space. The probability of E, denoted by P(E) could be computed as:
P(E) = n(E) / n(S)
As the total number of students = n(S) = 35
Students getting the grade A = n(E) = 5
So, the probability that a student earns a grade of A:
P(E) = n(E) / n(S)
= 5/35
= 1/7
Hence, the probability that a student earns a grade of A is 1/7.
Keywords: probability, sample space, event
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.
(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify
Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2
The solution is x = 1/2.
_____
You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
(4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
(49/9)x + 7/3 = 91/18
(49/9)x = 49/18 . . . . . . . subtract 7/3
x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
