Answer:
(3,7)
Step-by-step explanation:
A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated.
Hope this helps!!
Answer:
$92.43
Step-by-step explanation:
Original value of money paid is $79
Tip is 17% of $79 = $13.43
Total is the original value + the tip
79 x 0.17(this is because 17% is the same as 17/100 If you turn this to a decimal you get 0.17) = $13.43
Total = $13.43 + $79
$92.43 the 43 cents are whole so there is no need to round off.
Answer:
The signed number that indicates how much of the levee will erode during the next decade is:
-30 feet
Step-by-step explanation:
a) Data and Calculations:
Erosion rate of the banks of the levee = 3 feet per year
For 10 years, if nothing is done to correct the problem, the eroded banks will be equal to 10 * 3 = 30 feet
Therefore, the signed erosion in the next decade is -30 feet.
b) The quantity of erosion can be given as the number of years involved without correction, multiplied by the rate of erosion per year. This implies that the quantity of erosion depends on the number of years and the rate of erosion per year.
Step-by-step explanation:
(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).
Tan 58° = h / b = 1.6
(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).
Tan 36° = h / (b + 90) = 0.72
(C) <u>Simplifying the two equations</u> :
1.6b = 0.72b + 64.8
b = 64.8 / 0.88 = 73.6 m
h (height of pole) = 1.6 * 73.6 = 117.76 m
Answer: i. Cost of adult ticket = $ 30
ii. Cost of child ticket = $20
Step-by-step explanation:
Define variables:
Let x= cost of 1 adult tickets , y= cost of 1 child tickets.
Form linear equations:
5x+3y = 210 (i)
2x+5y= 160 (ii)
Multiply (i) by 2 and (ii) by 5
10x +6y = 420 (iii)
10x+25y = 800 (iv)
Eliminate (iii) from (iv)
19y = 380
⇒ y= 20
Put this in (i)
Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20
