Answer:
It will take turtle 
to reach the pond.
Step-by-step explanation:
Given:
A turtle can walk 1/12 of a kilometer in an hour.
The turtle is 1/5 of a kilometer away from a pond.
Now, to find the time it will take the turtle to reach the pond.
<u>Speed</u> of turtle = 
<u>Distance</u> of turtle from the pond = 
Now, to get the time it will take turtle to reach the pond we put formula:
Therefore, it will take turtle to reach the pond.
let x be the price before the discount
If you get 12% off, then you only pay the remaining 88% (since 88%+12% = 100%). This means if you take 88% of the original price (x), then you get the final price (132)
In terms of an equation, we have,
88% of (original price) = final price
(88/100)*(x) = 132
0.88*x = 132
0.88*x/0.88 = 132/0.88 <--- divided both sides by 0.88
x = 150
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Answer: The price without the discount is $150
The correct model of the height of rocket above water is;
h(t) = -16t² + 96t + 112
Answer:
time to reach max height = 3 seconds
h_max = 256 ft
Time to hit the water = 7 seconds
Step-by-step explanation:
We are given height of water above rocket;
h(t) = -16t² + 96t + 112
From labeling quadratic equations, we know that from the equation given, we have;
a = -16 and b = 96 and c = 112
To find the time to reach maximum height, we will use the vertex formula which is; -b/2a
t_max = -96/(2 × -16)
t_max = 3 seconds
Thus, maximum height will be at t = 3 secs
Thus;
h_max = h(3) = -16(3)² + 96(3) + 112
h_max = -144 + 288 + 112
h_max = 256 ft
Time for it to hit the water means that height is zero.
Thus;
-16t² + 96t + 112 = 0
From online quadratic formula, we have;
t = 7 seconds
Answer:
It will take Sarah 2 1/2 hours to mow 10 lawns
It will take Sarah 1 2/3 hours to clean 10 pools
Step-by-step explanation:
During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?
Number of lawns : Time to mow lawns = 6 : 1 1/2
= 6 : 3/2
Number of lawns : Time to mow lawns = 10 : x
6 : 3/2 = 10 : x
6 ÷ 3/2 = 10/x
6 * 2/3 = 10/x
12/3 = 10/x
Cross product
12 * x = 3 * 10
12x = 30
x = 30/12
x = 2 6/12
x = 2 1/2 hours
It will take Sarah 2 1/2 hours to mow 10 lawns
Number of pools cleaned : time taken = 1 : 1/6
Number of pools cleaned : time taken = 10 : x
1 : 1/6 = 10 : x
1 ÷ 1/6 = 10/x
1 * 6/1 = 10/x
6 = 10/x
Cross product
6 * x = 10
6x = 10
x = 10/6
x = 1 4/6
x = 1 2/3 hours
It will take Sarah 1 2/3 hours to clean 10 pools
