Answer:
3
- 11
- 4x³ + 3x² + x
Step-by-step explanation:
(x³ - 4x² + 1)(3x² + x)
Each term in the second factor is multiplied by each term in the first factor, that is
x³(3x² + x) - 4x²(3x² + x) + 1 (3x² + x) ← distribute parenthesis
= 3 + - 12 - 4x³ + 3x² + x ← collect like terms
= 3 - 11 - 4x³ + 3x² + x
5 liters of water must be added.
Step-by-step explanation:
In this question form and equate equations for the amount of sugar in both syrups which does not change.
Let the amount of water to be added to 15 liters of 40% sugar syrup to be w liters
The 40% sugar syrup will contain 15 liters of 40% sugar syrup. This means that the amount of sugar contained in the syrup is 15 *0.4 = 6 liters......(i)
So for a 30% sugar syrup, the amount of syrup is =15 +w *L , thus amount of sugar in this syrup will be : (15+w)0.3*L--------(ii)
Because only water was added, the amount of sugar remains the same hence equate the equations for amount of sugar;
0.3(15+w)=6
solve for value of w as
4.5+0.3 w =6
0.3 w = 6-4.5
0.3 w = 1.5
w= 1.5/0.3 = 5 liters
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Mixtures :brainly.com/question/14587611
Keywords : liters, water , added, sugar syrup
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the answer is 504 because 609/58 is 10.5 and then multiply 48 times 10.5 and you get 504
For this one you have to make the equations. And what I like to do is write it out, like this.One Week- $473 suits 1 shoes (pairs)
Another Week- $1077 suits 2 shoes (pairs)
Then I make/choose my variables.For suits, it's going to be x.And For shoes let's do y.(Or if you would like better you can do x and y, which ever works best for you)
Now for the equations:One Week, 47= 3x +1yAnother Week, 107= 7x + 2y
Now it's time for the Substitution! Your last problem had it easier because it was already in the form, y=mx+b, but since ours aren't we have to change it to y=mx+b.
One Week, -0.33y + 15.67 =x Another Week, -0.29y + 15.29 =x
Now you can use substitution. :)For y i got 9.5 or 9.50.For x, i got 12.34
So the answer is (9.5,12.34) or (12.34, 9.5)
Answer:
50%
Step-by-step explanation:
10 kg of mixed nuts that contain 60% peanuts
60(10)
plus
15 kg of a different brand of mixed nuts. with x% peanuts
x(15)
=
That makes 25 kg with 54% peanuts
54(25)
--------------------------
Equation
60(10) + x(15) = 54(25)
600 + 15x = 1350
Subtract 600 from both sides
15x = 750
Diviede both sides by 15
x = 50
50%
