Let's let the weight of a large box be L, and the weight of a small box be S.
We know that 5 large boxes and 3 small boxes is 120kg, so:
5L + 3S = 120
We also know that 7 large boxes and 9 small boxes is 234kg, so:
7L + 9S = 234
You can multiply the first equation by 3 to get:
15L + 9S = 360
See how now both equations have 9S? We can now subtract one from the other:
(15L+9S) - (7L+9S) = 360-234
8L = 126
L = 15.75
Now sub this value back into an equation:
(5x15.75) + 3S = 120
3S = 41.25
S = 13.75
Double check these values
(7x15.75) + (9x13.75)
= 110.25 + 123.75
=234, which is consistent with above.
So a large box is 15.75kg, and a small box is 13.75kg.
Hope this helped
The 4 functions are:
Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
for large values of x
In this problem, we can see that the only quadratic function is
, while all the others are linear functions, so the function that grows faster for large values of x is
Answer:
x = 4
Step-by-step explanation:
Given
5(2x - 1) = 35 ( divide both sides by 5 )
2x - 1 = 7 ( add 1 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Answer:
1.05 × 10^2
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
1) Convert 6 1/2 into a fraction and add it to 1/2.
6 -> 12/2
12/2 + 1/2 = 13/2
2) Divide the result by 2 (or multiple the result by the reciprocal of 2)
13/2 x 1/2 = 13/4 or 3 1/4
Hope this helped ^^
