Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
Answer:
Slope = 2
Y intercept = 4
Step-by-step explanation:
This is of the form y = mx + k
where m is the slope
K = y intercept
Answer:
a = 1
Step-by-step explanation:
1. distribute the -6 on the left into the parentheses. you should get -36a + 30.
2. on the side right of the =, distribute the -2 to get -16 + 10a.
now it should look like -36a + 30 = -16 + 10a.
3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)
4. move the 10a on the right to the left by subtracting it to the other side.
(-46a=-46)
5.divide by -46 to get a=1
Answer:
<h2>(n-2)(2n² - a)</h2>
Step-by-step explanation:
Given the expression 2n²(n-2) - a(n-2), to write this expression in a complete factor form, simply follow the instruction;
Let's assume the original expression has been broken down into that form in question, if we look at both terms, we will see that n-2 in parenthesis is common to both terms, we can therefore factor out n-2 from both terms as shown;
= 2n²(n-2) - a(n-2)
= n-2(2n² - a)
Hence the complete factor form of the expression is (n-2)(2n² - a) because the expression cannot be simplified any further.
