The equation in terms of x, for the total time he takes in hours would be 2.48 = 12/x + 26/10x
<h3>What is speed?</h3>
Speed can be calculated as the ratio of distance traveled to the time taken
Darpan runs a distance of 12 km and then cycles a distance of 26 km.
Total distance = 12 + 26 = 38km
The running speed is x km/h
A = x
The cycling speed is 10 km/h faster than his running speed
B = 10x
He takes a total time of 2 hours and 48 minutes.
So, the total time he takes
Time = Distance x speed
2.48 = 12/x + 26/10x
10x(2.48) = 120 + 26
24.8x = 146
x = 5.8
Learn more about speed here;
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Answer: The rocket will reach its max after 4 seconds
Step-by-step explanation:
Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.
y=-16x^2+128x+136
0 = (2)-16x +128
0= -32x+128
Solving for x:
32x = 128
x = 128/32
x = 4 seconds
The rocket will reach its max after 4 seconds
Feel free to ask for more if needed or if you did not understand something.
Answer:
this is only one functions, it means all is correct.
Radius times 2 = diameter which would be 10 times 3.14 is 31.4 so it’s 31.4
Answer:
$75
Step-by-step explanation:
Joni currently earns $300 per week (given)
To find how much more she will earn each week, write an expression adding the original pay and the raise amount.
$300 + 25%
Find 25 as a decimal for multiplication
25% = 25/100 = 0.25
Write an expression to represent the scenario
Expression example 1:
$300 + 0.25(300)
This expression adds the original pay and the new raise together.
Expression example 2:
$300 (1.25)
This expression already takes the new pay into account by finding 125% of the original pay.
Simplify both expressions
Expression 1:
$300 + 0.25(300)
$300 + $75
$375
Expression 2:
$300 (1.25)
$375
Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.
New amount - original amount = amount increase
Substitute known values into the equation
$375 - $300
Simplify
$75
Joni will earn $75 more each week.
Let me know if you have any questions!