Answer:
Not true
Step-by-step explanation:
x + (2x + 5) = 3(x – 4)+7
Opening bracket on left and side and distributing 3 over (x-4) on right hand side
x+2x+5=3x-3 x 4 + 7
adding like terms
3x+5=3x-12+7
3x+5=3x-5
Hence
5 = -5
Which is not possible , Hence the equation given to us is false.
Answer:
37.68 units³
Step-by-step explanation:
To calculate the volume of a cone, the formula is:
V = π x r² x ( h / 3 )
Simply input the corresponding numbers into the equation:
V = π x ( 2 )² x ( 9 / 3 )
V = π x 4 x ( 3 )
V = π x 12
V = 3.14 x 12
V = 37.68 units³
If we use 3.14 for pi, the answer comes out to 37.68 units³
Answer: 
Step-by-step explanation:
Given
Rectangle has an area of 
Suppose rectangle length and width are 
and 
If each side is increased by 
Area becomes 
We can write
Substitute the value of width from (ii) in equation (i)
Width corresponding to these lengths
Therfore, we can write the length of the longer side is
Answers:
- Pizza Uno = $5.25
- Pizza Duo = $5.60
Those are the costs for a whole small pizza.
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Explanation:
Let
- x = cost of whole small pizza from Pizza Uno
- y = cost of whole small pizza from Pizza Duo
x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.
2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50
Multiply both sides by the reciprocal of 2/3 to isolate x
(2/3)*x = 3.50
(3/2)*(2/3)*x = (3/2)*3.50
x = 5.25
Pizza Uno charges $5.25 for a whole small pizza.
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Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is
(3/4)y = 4.20
We'll use the same idea as the last equation to get...
(3/4)y = 4.20
(4/3)*(3/4)y = (4/3)*4.20
y = 5.60
Pizza Duo charges $5.60 for a whole small pizza.
Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.
About 3.606, if you round it.
