Turn 3 3/4 into an improper fraction, so it becomes 15/4. Then divide 15/4 by 1/3. Which would just be to multiple by the reciprocal, 15/4 times 3/1, to get 11 1/4, and since 1/4 is smaller than 1/3 the maximum number of smoothies is 11
Answer:
50%
Step-by-step explanation:
shaded area = 2/4
shaded area as a percentage ;
2 / 4 x 100
= 1 / 2 x 100
= 1 / 1 x 50
= <u>50%</u>
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
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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