Let's call the number of standard boxes sold x and the number of deluxe boxes sold y.
The kg of peaches sold will be 1 for each standard box and 2 for each deluxe, so we know:
x + 2y = 12
The kg of apples sold will be 2 for each standard box and 1.5 for each deluxe, so:
2x + 1.5y = 14. Now we solve the two equations as a system:
From the 1st one:
x = 12 - 2y
We substitute in the second one:
2(12 - 2y) +1.5y = 14;
24 - 4y +1.5y = 14;
-2.5y = -10;
y = 10/2.5 = 4;
Now we substitute in the first equation:
x = 12 - 2y = 12 - 2*4 = 12 - 8 = 4.
So the shop sold 4 standard boxes (x) and 4 deluxe boxes (y).
Answer:
b
Step-by-step explanation:
Answer: None of these
Explanation:
f(g(5)) first let’s find g(5)
We know:
g(x) = x - 2
g(5) = 5 - 2
g(5) = 3
Thus, f(g(5)) = f(3) because g(5) = 3
=> f(3) = 3(3) + 10
=> f(3) = 9 + 10
=> f(3) = 19
Therefore, f(g(5)) = 19
He subtracted the 29fron the 30
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8