Answer:
1) 32/5
2) 19/8
3) 34/7
4) 25/3
How to do this
You take the denominator (the number on the bottom), multiply it by the whole number (like in 1, 5*6=30) then add the numerator (the top number) (so 30+2) then add on top of the denominator before you changed anything (32/5)
Answer:
Value of x = -1 and y = -4
Step-by-step explanation:
BC = 3 (given)
BC = AD ( opposite sides of a parallelogram are equal)
∴ AD = 3
AD = x - y (given)
∴ 3 = x - y
3 + y = x -------- (1)
CD = 2 (given)
CD = AB (opposite sides of a parallelogram are equal)
∴ AB = 2
AB = 2x - y (given)
∴ 2 = 2x - y ----------- (2)
Putting the value of x in (1) To (2)
2 = 2(3+y) - y
2 = 6 + 2y - y
2 = 6 + y
2 - 6 = y
-4 = y
Now, substitute the value of y in (1)
x = 3 + y
x = 3 + (-4)
x = 3 - 4
x = -1
Therefore, the value of x = -1 and y = -4.
<u>Cross-checking</u>
2x - y = 2
2*-1 - (-4) = 2
-2 -(-4) = 2
-2 + 4 = 2
2 = 2
LHS = RHS
x - y = 3
-1 -(-4) = 3
-1+4 = 3
3 = 3
LHS = RHS
Thus verified
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Answer:
44 hours
Step-by-step explanation:
Topic of this question: Creating and Solving Equations, Rates, and Proportions
<h2>
Method 1: Creating and Solving Equations</h2>
Step 1: Find the amount drilled per hour
To do this, we have to divide the amount drilled by the number of hours it took to drill and find how much is being drilled per hour.
(I know it's a mouthful)
-72ft = 24x, where x is the amount drilled per hour
-72ft ÷ 24 = x
-3ft = x
-3ft per hour
Step 2: Find how many hours it takes to drill to -132 ft
Since we know the rate of drilling per hour, we can divide the target amount by the amount drilled per hour
-132 ÷ -3 = y, where y is the number of hours it takes
44 = y
y = 44
It will take a total of 44 hours to drill to -132 ft
<h2>Method 2: Proportions</h2>
We can set up a proportion like this, where we know that it takes 24 hours to drill 72 ft, but we don't know how long it takes to drill 132 feet

Cross multiply

Simplify

Divide both sides by -72


It will take a total of 44 hours to dig to -132 ft
-Chetan K
Answer:
Mean = 70,000 dollars
SD = 800 dollars
For Khan Academy
Step-by-step explanation:
Answer:
E
Step-by-step explanation: