Function: 
(maximum number of packages: 160)
Step-by-step explanation:
In this problem, we have:
is the capacity of the truck (the amount of mass that can be stored in the truck)
p = 50 kg is the mass of each package that need to be stored in the truck
We can find the number of packages that can be transported as follows: calling this number x, the total mass of x packages is
This amount should be at most equal to the capacity of the truck, therefore:
And substituting the numbers,
And solving the equation, we can found the number of packages that can fit into the truck:
Learn more about equations:
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Answer:
x = 62
Step-by-step explanation:
X and 62 are vertical angles and vertical angles are equal.
x = 62
Answer:
C
Step-by-step explanation:
the "-" sign can't be true, because that would have turned the whole graph of x² upside-down. but it is not.
so, we need a positive sign for the x term.
and the whole graph is shifted to the right. so the functional value of x of F(x) is now the same that happened "earlier" (for smaller x) with G(x). so, the argument "x" is now reduced (by 3 units, as the graph is shifted right by 3 units) in the calculation compared to the original G(x) calculation.
therefore, the ...(x-3)... expression is right.
so, positive sign and "(x-3)" is only in C.
Answer:
y=6x
Step-by-step explanation:
The formula you use is y=mx+b you get 4x-3y=21 you add 3 to 3y and 21 then you cancel out the 3's 4x goes down and then you add 21+3 which equals 24 then you divide it all by 4 except y, you drop the y down and you should get y=6x
Hope you get it right
Answer:
x = 5; y = 5
Step-by-step explanation:
One angle is a right angle, so its measure is 90 degrees.
One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.
x and y are opposite two 45-degree angles, so x = y.
In a 45-45-90 triangle, the ratio of the lengths of the sides is
1 : 1 : sqrt(2)
We have
x : y : 5sqrt(2)
x/1 = 5sqrt(2)/sqrt(2)
x = 5
y = 5
