Answer:
and
Step-by-step explanation:
If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.
For the given equations:
Equation:1
Equation:2
Solving equation multiply equation 2 with 4 on both the sides
Equation 3
Subtracting Equation:3 from Equation:1
Putting value of 'y' in Equation:2 which will give the value of x
Ratio is a division in its simplest form.
To get the ratio of length to width, divide the two then simplify.
In this case, convert the length and width into decimals.
length = 7 1/2 = 7.5
width 4 3/4 = 4.75
ratio of length to width is;
7.5/4.75 = 750/475
This can now be written as;
750 : 475
Dividing both sides by 25;
= 750/25: 475/25
= 30 : 19
You will need 2 equations, since there are 2 variables (hours worked by George and the ones of Dorothy), let's say x and y respectively
We know
x+y=48 (since they work 48 hours together) and
12x+11.25y=555 (since the sum of their respective hours multiplied by their salary gives a total of 555$)
To solve that, you can isolate either one of the variables and replace it in the second formula, for example:
x+y=48, therefore x=(48-y)
<span>Substitute x in 12x+11.25y=555 and solve for y (to find Dorothy's hours)
</span><span>12(48-y)+11.25y=555
</span>576-12y+11.25y=555
21=0.75y
y=28
Answer:
volume of cone = 1/3πr²h
<u>1</u>×<u>2</u><u>2</u>×3×11
3. 7.
<u>242</u>
7
= 34.57
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