Write out the problem. ...Simplify the first fraction. ...Simplify the second fraction. ...Multiply the numerators of both fractions. ...Multiply the denominators of both fractions. ...Place the new numerator over the new denominator.
Answer:
78
Step-by-step explanation:
The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:
x + (x + 2) = 158
The parenthesis are unnecessary since we are adding, so when we combine like terms we get
2x + 2 = 158 and
2x = 156 and
x = 78
That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158
Answer:
<em>= 279</em>
Step-by-step explanation:
= + (n - 1)d
d = -
~~~~~~~~~
d = - 17 + 25 = - 9 + 17 = - 1 + 9 = 8
= - 25 + 8(39 - 1) = 279
<em>= 279</em><em> </em>
Answer:
Answer Below
Step-by-step explanation:
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
You can also search "how to find the volume of a triangular prism" and there will be a base calculator so u can figure out this problem!
Answer:
B
Step-by-step explanation: