Answer:
58.4
119.2
Step-by-step explanation:
Givens
Let one angle = x
Let the other angle = x + 58.4
Together they make 180 degrees.
Equation
x + x + 58.4 = 180 Collect like terms.
Solution
2x + 58.4 = 180 Subtract 58.4 from both sides
2x = 180 - 58.4
2x = 121.6 Divide by 2
x = 60.8
Answer
x = 60.8
x + 58.4 = 119.2
Answer: 13 months
Step-by-step explanation:
I made these into equations first.
40 (initial fee) + 65x (x is the number of months) = total cost
170 (initial fee) + 55x (x is the number of months) = total cost
There are two ways to go about this.
1. Put it into a graphing calculator (or a site like desmos) and see where the lines intersect (the easiest way)
2. If you don't have access to either of those, do the old guess and check by plugging in numbers of months until you get your desired answer.
Answer - look up the equation for volume of a cone and then just plug in the #s
Step-by-step explanation:
88= 2l + 2w
l=3w
88=2(3w)+2w
88= 6w+2w
88=8w
w=11
l=3(11)
l=33
width= 11
length= 33
Answer:
None of the pairs of expressions are equal
Step-by-step explanation:
• 2n ≠ 2 +n
2n is the same as 2 times of n (expressed as a multiplication sign), while 2 +n is the addition of 2 to n.
•n² ≠ 2n
n²= n ×n
2n= 2 ×n
• 2n² ≠ (2n)²
Note that in the latter, there is a bracket which means that the square applies to both 2 and n.
(2n)²
= (2)² × n²
= (2 ×2)(n²)
= 4n²
Thus, none of the pairs of expressions are equal.
