A fruit company delivers
fruits
=> 3 large boxes and 2 small boxes weighs = 54 kilograms
=> 5 large boxes and 6 small boxes weighs = 108 kilograms
Now, let’s find how does each type of box weigh
=> 3a + 2b = 54, where a and b are the unknown weights of each boxes
=> 5a + 6b = 108
Multiply the first given equation by 3 on both side to cross out letter B
and find the value of A.
=> 3a(3) + 2b(3) = 54(3)
=> 9a + 6B = 162
Now subtract this by the second equation:
=> 9a + 6B = 162 – 5a + 6b =106
=> 4a = 56
=> 4a / a =56 /4
=> a = 14 – The weight of large boxes
Now, let’s find the B
=> 3(14) + 2b = 54
=> 42 + 2b = 54
=> 2b = 54 – 42
=> 2b = 12
=> 2b/2= 12/2
=> b = 6 = the weight of small boxes
Answer:
Plan A is a salary of $360 per month, plus a commission of 8% of sales. Plan B is a salary of $740 per month, plus a commission of 3% of sales.
Step-by-step explanation:
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Step-by-step explanation:
Call the smaller solid the original one, and call the larger solid the scaled one.
1. Find the scale factor
scale factor = length in scaled one / corresponding length in original one
scale factor = 7.5/5 = 1.5
The scale factor is 1.5
That means if you multiply any linear dimension of the original one by 1.5, you get the corresponding dimension of the scaled one.
Let's check our scale factor to make sure it's correct.
We see that the 5 m side corresponds to the 7.5 m side.
5 m * 1.5 = 7.5 m
Multiplying an original length by the scale factor of 1.5 gives us the scaled up length, so our scale factor of 1.5 is correct. Now we apply the scale factor of 1.5 to find b, c, and h.
b corresponds to 12 m
b = 12 m * 1.5 = 18 m
c corresponds to 13 m
c = 13 m * 1.5 = 19.5 m
h corresponds to 6 m
h = 6 m * 1.5 = 9 m
Answer:
b = 18 m
c = 19.5 m
h = 9 m
Answer: -2 (sqrt:6)/5
Step-by-step explanation:
Answer:
35/82 is the probability of picking a singer