Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:

Now let us solve for x.


Now let us substitute
in 7x (amount of money that Egil gets).

Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.
A = first piece, b = second piece, c = third piece
a + b + c = 47
b = 3a
c = 5a + 2
a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft
b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft
longest piece (c) = 27 ft
Answer:
The vertical line test is a visual test used to determine whether or not a graph is a function. To perform this test, simply draw a straight vertical line multiple times on different parts of the graph.
If a vertical line intersects with the graph at one point, then it's a function.
If a vertical line intersects with the graph at multiple points, then it's not a function.
Examples:
Answer:
Carmen's book by 13 pages.
Step-by-step explanation:
Step one
225-175 to get 50 pages per every 2 night for Amelia
Step two
224- 160 to get 64 pages every 2 night for Carmen
Step 3
Add 225 and 50 to get 275
Step 4
Add 224 and 64 o get 288
Step 5
Subtract 275 from 288 to get 13
HL is the radius which is half of the diameter....lso 24/2 = 12
r = 1/2(121) is the answer for this one since radius is 1/2 of the diameter