Answer:
Jake made 7 bead strings
Step-by-step explanation:
The ratio is 2:6 next would be 4:12 then 6:18 and so on. You just add what you started with to the corresponding side. 8:24, 10:30, 12:36, 14:42. The right side is 3x the left side.
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
Answer:
B.
Step-by-step explanation:
$2.25 is the cost of each video that is rented, so $2.25 times v (or 2.25v) represents the cost of 'v' videos.
$20 is the constant, as it costs $20 to join the club. Since this doesn't change, it is the constant.
So, we would have the equation:
f(v) = 2.25v + 20
f(v) is the total cost.
B is your answer because it is the only one with the correct equation.
Hope this helps!
Answer:
108
Step-by-step explanation:
"At this rate, ..." means we're to assume Nancy's score is proportional to the number of holes:
score/18 = 24/4
Multiplying by 18, we get ...
score = 18(24/4) = 18(6) = 108
Nancy can expect a score of 108 on 18 holes.
Answer:
One avocado costs $1 and one tomato costs $0.50
Step-by-step explanation:
Set up a system of equations where t is the number of tomatoes and a is the number of avocados:
4t + 8a = 10
6t + 14a = 17
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:
12t + 24a = 30
-12t - 28a = -34
Add them together and solve for a:
-4a = -4
a = 1
Plug in 1 as a into one of the equations and solve for t:
4t + 8a = 10
4t + 8(1) = 10
4t + 8 = 10
4t = 2
t = 0.5
So, one avocado costs $1 and one tomato costs $0.50
