I think its 71. I'm not completely sure because from what ive learned it would be that.
167.0067 is the correct answer
Kellie's original number given the analogy and corresponding equation is 13
<h3>How to write and solve equation?</h3>
let
(x × 2) × 3 = x + 65
2x × 3 = 65 + x
6x = 65 + x
6x - x = 65
5x = 65
x = 65/5
x = 13
check:
6x = 65 + x
6(13) = 65 + 13
78 = 78
Therefore, the unknown number, x is 13
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Answer:
A: 124 in
D: 2 yd 52 in
E: 10 ft 4 in
Step-by-step explanation:
we know that
1 ft=12 in
1 yd=36 in
we have
3 yd 16 in
Convert to inches
3 yd 16 in=3(36)+16=124 in
<em>Verify each case</em>
case A) 124 in
124 in=124 in ------> is true
therefore
124 in is equal to 3 yd 16 in
case B) 4 yd 4 in
Convert to inches
4 yd 4 in=4(36)+4=148 in
124 in=148 in ------> is not true
therefore
4 yd 4 in is not equal to 3 yd 16 in
case C) 3 yd 1 1/2 ft
Convert to inches
3 yd 1 1/2 ft=3(36)+1.5(12)=126 in
124 in=126 in ------> is not true
therefore
3 yd 1 1/2 ft is not equal to 3 yd 16 in
case D) 2 yd 52 in
Convert to inches
2 yd 52 in=2(36)+52=124 in
124 in=124 in ------> is true
therefore
2 yd 52 in is equal to 3 yd 16 in
case E) 10 ft 4 in
Convert to inches
10 ft 4 in=10(12)+4=124 in
124 in=124 in ------> is true
therefore
10 ft 4 in in is equal to 3 yd 16 in
The rocket reaches a maximum height of 25 feet.
We substitute the velocity given into the equation:
h(t) = -16t² + 40t + h₀
We also use 0 for h₀, as the rocket is launched from the ground:
h(t) = -16t² + 40t + 0
To find the maximum, we find the coordinates of the vertex. To do this, we first find the axis of symmetry:
-b/2a = -40/(2*-16) = -40/-32 = 1.25
This is the x-coordinate of the vertex, which represents the amount of time in seconds. We substitute this back into our function:
h(1.25) = -16(1.25²) + 40(1.25) = 25