To only make 1/3 of the recipe you would divide all ingredients by 3 or multiply by 1/3, same thing.
Convert 2 1/4 to single fraction first
9/4 * 1/3 = 9/12 = 3/4 cup sugar
profit=f(x)
so solve for f(x)=1000
1000=70n-400
add 400 to both sides
1400=70n
divide both sides by 70
20=n
20 students need to be enrolled to make a profit of 1000.00
Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.
Answer:
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Step-by-step explanation:
Answer:
D. 32,154
Step-by-step explanation:
54,267 can be written as 54267.0
The 2 in 54 267 should be move 1 place to the left to indicate your multiplying by 10
Moving 1 space to the left = Times 10
Moving 2 places to the left = Times 100
Moving 3 places to the left = Times 1000