Answer: The new length is: (y - x) metres.
Step-by-step explanation:
If we have a piece of string that is y metres long, and we cut x metres of strings from it, then the new length of the string will be equal to the difference between the initial length and the amount that we cut off.
So the initial length is y metres.
We cut x metres.
The new length is: (y - x) metres.
Let, the cost of a belt = x
cost of a wallet = y
Then, system of equations would be:
x + y = 42
7x + 4y = 213
Multiply 1st equation by 4,
4x + 4y = 168
Substitute it from 2nd equation,
3x = 45
x = 15
Now, substitute it in 1st equation,
15 + y = 42
y = 42 - 15 = 27
In short, Belt costs $15 and wallet costs $27
Hope this helps!
X is 12 and y is 15 because of 3,4,5 triangles
Answer:
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joules
W= 19.958778MegaJoules
Step-by-step explanation:
Work to full the tank is
W = mgh.
m is the mass of the water.
But density = mass/volume, where volume is the volume of the complete the remaining half full of water to fill the cylindrical tank.
mass = density x volume.
Volume of cylinder = πr2h
Volume to fill the cylinder = (πr2h)/2.(half of total volume)
Volume = (22x4x4x9)/(7x2). Height used is 18/2 = 9m
Volume = 226.29m3.
Mass = density x volume= 1000 x 226.29 = 226290kg
Therefore, the work is
W = mgh
W = 226290 x 9.8 x 9
W = 19958778Joule = 19.958778MegaJoules
Answer:
20
Step-by-step explanation:
To find the mean, add up all the numbers in the data set, and then divide by the number of terms in the data set
<em>Add </em>
Add up the numbers in the data set
17+24+26+13
80
<em>Divide </em>
Divide by the number of terms in the data set
In this case, there are 4 terms (17, 24, 26, 13)
80/4=20
The mean of the data set is 20
