Answer:
(x - 3, y + 6)
Step-by-step explanation:
Point K starts as (1, -3)
Point K after the translation becomes (-2, 3)
The x-coordinate goes from 1 to -2. That is a change of -3 in x, or x becomes x - 3.
The y-coordinate goes from -3 to 3. That is a change of +6 in y, or y becomes y + 6.
Answer: (x - 3, y + 6)
The group attended to the museum. They were 8 girls and 6 adults. So, we should calculate the total paid amount for the 6 adults, then calculate the paid amount for the 8 girls and then add up this two results.
The ticket for an adult costs $50. Since we have 6 adults, the amount paid for the adults' ticket was
So the adults' tickets costed 300. For the girls, one child ticket costs $30. So, the amount paid for the girls' tickets was
So the total amount paid is 300+240 = 540.
Answer:
Step-by-step explanation:
F=(9/5) C +32 has the form of the equation of a straight line: y = mx + b, where m is the slope and b is the y-intercept. By comparing these two equations we see that the slope, m, is (9/5) and the y-intercept is 32 (or (0, 32)).
To graph this, first locate the y-intercept (0, 32); put a dark dot there. Since the slope is 32, or 32/1, move your pencil point 1 unit to the right, from (0, 32) to (1, 32), and then from (1, 32) move y our pencil point 32 units upward. Plot another dark dot there and then draw a straight line through these two points.
We can evaluate the given function F=(9/5) C +32 at C = 15 by replacing C in the formula with 15: F = (9/5)(15) + 32, or F = 59.
Given P(A) = 0.072, P(B) = 0.180, and P(C) = 0.027, and that events A, B, and C are mutually exclusive,then P(A or B or C) is 0.279
<u>Solution:
</u>
Given that probability of event A is P(A) = 0.072
Probability of event B is P(B) = 0.180
Probability of event C is P(C) = 0.027
Also event A, B and C are mutually exclusive.
Need to determine P( A or B or C )
For mutually exclusive events
P( A or B or C ) = P(A) + P(B) + P(C)
= 0.072 + 0.180 + 0.027 = 0.279
Hence probability of occurrence of event A or event B or event C , where A , B and C are mutually exclusive events is 0.279.
Answer:
The number of carpets cleaned by new company per week is 249
Step-by-step explanation:
Let us assume :
The number of carpets cleaned by old company in 1 week = m
So, the number of carpets cleaned by new company in 1 week
= 3 x ( Number of carpets cleaned by old company)
= 3 (m) = 3 m
Total carpet cleaned altogether in a week = 332
So, Total Carpets cleaned by both companies in 1 week
= Number of carpets cleaned by ( Old + New) company in 1 week.
= m + 3 m = 4 m
⇒ 4 m = 332
or, m = 332 / 4 = 83 , or m = 83
Hence number of carpets cleaned by old company per week = m = 83
The number of carpets cleaned by new company per week
= 3 m = 3 x 83= 249
