Answer:
The smaller number is 127
Step-by-step explanation:
Lets write the given problem in equation form
sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1
now we find twice of the sum of consecutive numbers n and n + 1
2*(2n + 1) = 4n + 2
given that
twice the sum of consecutive numbers n and n + 1 is 510
thus,
4n + 2 = 510
=> 4n = 510 -2 = 508
=> n = 508/4 = 127
Thus, the numbers are n = 127
n+1 = 127 + 1 = 128
the smaller number is 127
Answer:someone answer the question already
Step-by-step explanation:
Answer: #20, x = 3
#21, x = 1/2
Step-by-step explanation:
#20) x + 4 + x + 2+ x + 5 = x + 3 +x+3+x+1+x+1
3x + 11 = 4x + 8
<u>-3x -3x</u>
11= x + 8
<u> - 8 - 8</u>
3 = x
#21) 12x(5) = 6x + 9 + x + 10 + x + 7
60x =8x + 26
<u> -8x -8x</u>
52x = 26
divide both sides by 52
x = 1/2
The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface,
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface,
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism,
The volume of the given trapezoidal prism is 312 cubic units.
Answer:
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