Do the values in the table represent a proportional relationship? HELP ASAP!!!!
x 1 2 3 4
y 2.5 5 7.5 10
Select from the drop-down menu to correctly complete the statement.
All of the y-values HAVE
a constant multiple of ☆☆2.5☆☆☆ to the corresponding x-values, so the relationship PROPORTIONAL
Step-by-step explanation:
98 = 188t - 16t^2
-16t^2 + 188t = 98
-16t^2 + 188t - 98 = 0
8t^2 - 94t + 49 = 0
Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions
t = [(47 - root 1817) / 8]≈ 0.55
and
t = [(47 + root 1817) / 8] ≈ 11.20
Answer:
15 boys and 25 girls
Step-by-step explanation:
The sum of boys (b) and girls (g) is given as 40:
g + b = 40
The number of girls is 2 times the number of boys minus 5:
2b - 5 = g
First formula can be rewritten as g = 40 - b
Then you can substitute this for g in the second, and you get:
2b-5 = 40-b
Which simplifies to:
2b + b = 40 + 5
3b = 45
b = 15
g = 40-15 = 25
15 boys, 25 girls.
Answer:
105 mm^3
Step-by-step explanation:
The volume formula for a triangular prism is (height x base x length) / 2.
(5 x 6 x 7) / 2 = 105 mm cubed = 105 mm^3
