In wrestling you score points by performing certain moves. Escapes, takedowns, and nearfalls are moves you can perform to score points. An escapeis worth 1 point, a takedown is worth 2 points, and a nearfall is worth 3 points. Anahi scored a total of 240 points by completing 100 moves. She had 4 times as many takedowns as escapes. How many escapes, takedowns and nearfalls did she have?
Answers
Answer: Im gonna take you down like a sweet muffin.
The number of escapes, takedowns and nearfalls Anahi have is 6, 24 and 70 respectively.
How many escapes, takedowns and nearfalls did she have?escape is worth 1 point,
a takedown is worth 2 points, and
a nearfall is worth 3 points.
escape = x
takedown = y
nearfall = z
x + y + z = 100. (1)
x + 2y + 3z = 240. (2)
y = 4x. (3)
substitute (3) into both equation
x + 4x + z = 100
x + 8x + 3z = 240
5x + z = 100. (4)
9x + 3z = 240. (5)
Multiply (4) by 3
15x + 3z = 300 (6)
9x + 3z = 240. (5)
Subtract (5) from (6) to eliminate z
6x = 60
x = 60/6
x = 6
Substitute into (3)
y = 4x
y = 4(6)
y = 24
Therefore, from (1)
x + y + z = 100.
6 + 24 + z = 100
30 + z = 100
z = 100 - 30
z = 70
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If a rock was thrown at t-2.23tp and hits its height at 1.56 meters what was the height of the tower?
Answers
Answer:
t = 4.875 s
h(4.875) = 686.25 ft
t ≈ 11.424 s
Step-by-step explanation:
These questions are more easily answered if the equation is written in vertex form. Subtracting the constant and dividing out -16, we get ...
h(t) -306 = -16(t^2 -9.75t)
Adding the square of half the t-coefficient inside parentheses gives ...
h(t) -306 -380.25 = -16(t^2 -9.75t +23.765625)
h(t) = -16(t -4.875)^2 + 686.25
This tells us the maximum height is 686.25 ft at time t = 4.875 seconds.
__
When the rock hits the ground, h(t) = 0, so ...
0 = -16(t -4.875)^2 + 686.25
686.25/16 = (t -4.875)^2 . . . . . subtract 686.25, divide by -16
√42.890625 +4.875 = t ≈ 11.424 . . . . take the square root, add 4.875
The rock hits the ground after about 11.424 seconds.
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Step-by-step explanation:
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Answers
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Below,...!
Step-by-step explanation:
15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:
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Answer:
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Step-by-step explanation:
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given statement :
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Answers
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[tex]\sf 10\times 5\times 11[/tex]
Answers
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Step-by-step explanation:
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Answer:
[tex]\sf 550[/tex]
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Answers
Answer:
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Step-by-step explanation:
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The distance the snail can cover in 2 seconds can be computed below:
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cross multiply
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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