By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
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Answer:
43°
Step-by-step explanation:
angle 1 and Angle 2 are corresponding angles. app they are equal.
73-2x = 88-3x
x = 15
angle 1 = 73-(2*15) = 43
angle 2 = 88-(3*15) = 43
Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
The weight of each bag is 0.545 lb .
<h3>What is weight ?</h3>
Weight in maths is the value of the mass of an object on a measuring scale , It is measured in pound , ounce , kilogram etc.
It is given that
Total weight of green grapes = 5.65 lb
Total weight of red grapes = 3.07lb
Total weight = 5.65 +3.07 = 8.72 lb
Total number of bags = 16
the weight of each bag
= 8.72 / 16
= 0.545 lb
Therefore the weight of each bag is 0.545 lb .
The complete question is
Emilio bought 5.65lb of green grapes and 3.07lb of red grapes. He divided the grapes equally into 16 bags. If each bag of grapes has the same weight, how much does each bag weigh?
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Answer:
242
Step-by-step explanation:
7(6*6)-10
7(36)-10
252-10
=242
