John runs at 12 km/h. How far does John run in 2.5 hours?
John runs at 12
km/h. How far does John run in 2.5
hours?
distance = speed * time
distance = 12 km/h * 2.5 h
distance = 30 km
Therefore, John runs 30 km in 2.5 hours.
If Jason earns $24
/h, and has worked 4.5
hours with a 30
minute unpaid break, how much has he earnt?
To calculate the amount Jason has earned, we first need to determine the total hours worked.
Total hours worked = hours worked - unpaid break
Total hours worked = 4.5 hours - 0.5 hours
Total hours worked = 4 hours
Now that we know Jason worked for 4 hours, we can calculate his earnings:
Earnings = rate * time
Earnings = $24/hour * 4 hours
Earnings = $96
Therefore, Jason has earned $96.
If Ally earns $20
/h, how much will Ally have earnt in 3.5
hours?
To calculate Ally's earnings, we need to multiply her hourly rate by the number of hours she worked.
Earnings = Rate * Time
Earnings = $20/hour * 3.5 hours
Earnings = $70
Therefore, Ally will have earned $70 for working 3.5 hours.
Melina's typing speed is 36 wpm (words per minute). She finished a job in 5 hours. How long would the same job have taken her if she typed 48 wpm?
Let's begin by calculating the number of words in the job.
Number of words = typing speed * time
For Melina at 36 wpm, the number of words in the job would be:
Number of words = 36 wpm * 5 hours * 60 minutes
Number of words = 10800 words
Now that we know the number of words, we can calculate how long it would take her at 48 wpm.
Time = number of words / typing speed
Time = 10800 words / 48 wpm / 60 minutes
Time = 3.125 hours or 3 hours and 8 minutes (rounded to the nearest minute)
Therefore, if Melina typed at 48 wpm, the same job would have taken her approximately 3 hours and 8 minutes to complete.
a triangle has height and base dimensions in in a ratio of 3:7 If a particular triangle has a height of 9cm, what is the length of its base?
Let's start by using the ratio between the height and base of the triangle:
height : base = 3 : 7
We know that the height of the triangle is 9 cm, so we can set up an equation to solve for the base:
3/7 = 9/x
where x is the length of the base.
To solve for x, we can cross-multiply:
3x = 7 * 9
3x = 63
x = 21
Therefore, the length of the base of the triangle is 21 cm.
laura,sam and paul have won a prize.They decide to share it in the ratio of 2:4:5 If paul receives $100, how much do Laura and sam recieve, and what was the total value of the prize?
Let's start by finding the total ratio by adding the individual ratios:
2 + 4 + 5 = 11
This tells us that the prize is split into 11 equal parts. To find out how much Laura and Sam receive, we need to work out their share of the prize in relation to Paul's share.
We know that Paul receives $100, which is 5 parts of the 11 parts of the prize. So, we can use a proportion to calculate the value of 1 part of the prize:
5 parts / 11 parts = $100 / x
where x is the total value of the prize.
Solving for x, we get:
x = $220
Now we can use the ratio 2:4:5 to determine how much Laura and Sam receive:
Laura's share = 2 parts / 11 parts = 2/11 * $220 = $40
Sam's share = 4 parts / 11 parts = 4/11 * $220 = $80
Therefore, Laura receives $40 and Sam receives $80, and the total value of the prize was $220.
convert 20cm/sec to m/h
We can convert 20 cm/s to m/h using the following steps:
Step 1: Convert cm/s to m/s by dividing by 100 (since there are 100 cm in 1 m)
20 cm/s ÷ 100 = 0.2 m/s
Step 2: Convert m/s to m/h by multiplying by 3600 (since there are 3600 seconds in 1 hour)
0.2 m/s × 3600 = 720 m/h
Therefore, 20 cm/s is equivalent to 720 m/h.
convert 25c/min to $/h
To convert 25c/min to $/h, we need to use the following steps:
Step 1: Convert cents to dollars by dividing by 100
25c/min ÷ 100 = $0.25/min
Step 2: Convert minutes to hours by dividing by 60
$0.25/min ÷ 60 = $0.0041667/s
Step 3: Convert $/s to $/h by multiplying by 3600 (since there are 3600 seconds in 1 hour)
$0.0041667/s × 3600 = $15/h
Therefore, 25c/min is equivalent to $15/h.
santi runs 100 metre in 12 seconds. how far can she run in one minute at the speed?
To find how far Santi can run in one minute at the given speed, we need to use the formula:
distance = speed × time
Here, Santi's speed is the distance covered per unit time. She runs 100 meters in 12 seconds, so we can find her speed as follows:
speed = distance / time
speed = 100 meters / 12 seconds
speed = 8.33 m/s (rounded to two decimal places)
Now, we can find how far Santi can run in one minute at this speed:
distance = speed × time
distance = 8.33 m/s × 60 seconds
distance = 499.8 meters (rounded to one decimal place)
Therefore, Santi can run approximately 499.8 meters in one minute at this speed.
3(w + 5) divided by 2 -3 =0 what is w
We can solve this equation by using the following steps:
1. Distribute the 3 to the terms inside the parentheses:
3w + 15 / 2 - 3 = 0
2. Simplify the expression:
3w + 15 / 2 = 3
3. Multiply both sides by 2 to eliminate the fraction:
3w + 15 = 6
4. Subtract 15 from both sides:
3w = -9
5. Divide both sides by 3:
w = -3
Therefore, w is equal to -3.
Emma has three bags of cashews. The first and second bags weigh 350 g
together, the second and third bags weigh 450 g together, and the first
and third bags weigh 400 g together. How much does each bag weigh?
Let's assume the weights of the first, second, and third bags of cashews are represented by x, y, and z, respectively.
According to the problem statement, we have the following three equations:
x + y = 350 (Equation 1)
y + z = 450 (Equation 2)
x + z = 400 (Equation 3)
We need to solve for x, y, and z. We can start by adding Equations 1 and 3:
x + y + x + z = 350 + 400
2x + y + z = 750 (Equation 4)
Similarly, we can add Equations 1 and 2:
x + y + y + z = 350 + 450
x + 2y + z = 800 (Equation 5)
Now, we can subtract Equation 4 from Equation 5:
(x + 2y + z) - (2x + y + z) = 800 - 750
x + y = 50 (Equation 6)
We can substitute Equation 6 into Equation 1 to get:
x + (50 - x) = 350
50 = x + 350 - x
x = 150
Substituting this value of x into Equation 3, we get:
150 + z = 400
z = 250
Finally, substituting the values of x and z into Equation 2, we get:
y + 250 = 450
y = 200
Therefore, the weights of the three bags are:
x = 150 g
y = 200 g
z = 250 g
distance = speed * time
so ...