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
Answer:
No
Step-by-step explanation:
the absolute value function always returns a positive value. The value inside the bars can be positive or negative but the result is always positive
| - 14 | = 14 > - 27
Answer:
y = -2/3 + 18
Step-by-step explanation:
2x + 3y = 18 ----- here is the equation...
-2x - 2x ----- bring the 2x to the other side
3y = -2x + 18 ----- now you have to divide everything by 3 to get y by itself
y = -2/3 + 18 ----- Done!
Answer:
Tacoma's population in 2014 will be 587,439 people
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by the formula
where
y is Tacoma's population in thousand
x is the number of years since 2000
r is the rate of change
a is the initial value
we have
substitute
what will Tacoma's population be in 2014?
Find the value of x
substitute the value of x
therefore
Tacoma's population in 2014 will be 587,439 people
