Answer:
the minimum value of the given function is -4
Answer:
24/5
Step-by-step explanation:
5x : 9
(8 : 3)×3
5x : 9
24 : 9
5x = 24
x = 24/5 = 4/4/5
If there are 4 pens there will be 1 pencil, if there is 1 pencil there will be 4 pens
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils
Remark
Whatever the original price, he gets 70% in the first instance.
He gets 80% in the second instance.
He gets 90% in the third instance
His total income is 240 dollars.
Let the original price be x
Equation
70%x + 80%x +90%x = 240
70% = 0.7 ; 80% = 0.8 ;90% = 0.9
Solution
0.7x + 0.8x + 0.9x = 240 Take out x as a common factor and add the decimals.
x (0.7 + 0.8 + 0.9) = 240
2.4x = 240 Divide both sides by 2.4
x = 240/2.4
x = 100
So the watches should have brought in 3*100 = 300 dollars.
He only brought in 240 dollars.
He lost 300 - 240 = 60 dollars.
The answer is B.
Answer:
42 gallons 45% antifreeze
28 gallons 95% antifreeze
Step-by-step explanation:
If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:
x + y = 70
And the total amount of antifreeze is:
0.45 x + 0.95 y = 0.65 (70)
Solving by substitution:
0.45 x + 0.95 (70 − x) = 0.65 (70)
0.45 x + 66.5 − 0.95 x = 45.5
21 = 0.5 x
x = 42
y = 28
