Answer:the number of hot dogs is 10
Step-by-step explanation:
Let x represent the number of hamburgers.
Let y represent the number of hot dogs.
The ratio of hamburgers to hot dogs is 6 to 5. This means that the ratio of x to y is 6/5
x/y = 6/5
5x = 6y
x = 6y/5
Three times the number of hot dogs is 6 more than twice the number of hamburgers. This means that
3y = 2x + 6 - - - - - - - - -1
Substituting x = 6y/5 into equation 1, it becomes
3y = 2(6y/5) + 6
3y = 12y/5 + 6
Multiplying both sides of the equation by 5, it becomes
15y = 12y + 30
15y - 12y = 30
3y = 30
y = 30/3 = 10
x = 6y/5 = 6×10/5
x = 60/5 = 12
Answer: the cost of renting one water tank is 706.5
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the given information,
Radius = 5 feet
Height = 3 feet
Therefore,
Volume = 3.14 × 5² × 3 = 235.5 cubic feet.
If the cost is 3 per cubic foot, then the cost of renting one water tank is
235.5 × 3 = 706.5
<span>If 4 cans of coffee cost 2.40, then divide this by 4 to find out how much one can of coffe costs: 2.40/4 = .60. Now, we need to find 1/4 of .60. To do so, again divide by 4: .60/4 = .15. So, the cost of 1/4 can of coffee will be 15 cents.</span>
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The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.
In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles, on this case angles B and D.
m<B+m<D=180 Substitute the given values of angles B and D
28+x=180 Subtract in both sides by 28
x=152
Now that the value of x is known, you can substitute it into the expression representing angle A.
m<A=x-36
m<A=152-36
m<A=116
The measure of angle A is 116 degrees.
