Twice the greater of two consecutive odd intergers is 13 less than three times the lesser. Find the intergers
1 answer:
Answer:
Step-by-step explanation:
2 consecutive integers represented as variables:
x, x + 1
Greater one: x + 1
Lesser one: x
Write as an equation
2(Greater) + 13 = 3(Lesser)
Substitute in known values
2(x + 1) + 13 = 3(x)
Multiply
2x + 2 + 13 = 3x
Subtract 2x from both sides of the equation
2 + 13 = x
Add 2 + 13 to simplify
x = 15
Lesser = x = 15
Greater = x + 1 = 15 + 1 = 16
Hope this helps :)
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Answer:
As both prism have the same base area and height there volumes are the same.
Step-by-step explanation:
Volume of the prism is given by
Volume of Prism A= base area* height
60 cubic units= base area* 12
base area= 60/12= 5 units
Volume of Prism B= base area* height
= 5 units*12 units
= 60 cubic units
As both prism have the same base area and height there volumes are the same.
The length of the longer side is the length of the triangle itself.
For example the length of longer side of prism A maybe 10 units but width may be 1/2 units
and
the length of longer side of prism B maybe 15 units but width may be 1/3 units
the total base area remains the same.
In general, 23 more than a number is written as
In our case, x is 'twice a number'; thus,
Finally, the whole expression is