Answer:
first evening = 21 phone calls
second evening = 11 phone calls
third evening = 84 phone calls
Step-by-step explanation:
Total phone calls = 116
Let
Number of calls in the first evening = x
The second evening = x - 10
The third evening = 4x
Total phone calls = first evening + second evening + third evening
116 = x + (x - 10) + 4x
116 = x + x - 10 + 4x
116 + 10 = 6x
126 = 6x
x = 126 / 6
x = 21 phone calls
Number of calls in the first evening = x
= 21 phone calls
The second evening = x - 10
= 21 - 10
= 11 phone calls
The third evening = 4x
= 4(21)
= 84 phone calls
Answer:
x=120 degrees
Step-by-step explanation:
Because these two angles share the two same points, either one is 2x larger or 2x smaller than the other. X is the larger angle, therefore is 2x larger than 60. 60×2=120. I hope this helps you!
Answer:
When x = 12, y = 4.
Step-by-step explanation:
If
y
∝
x
we can write that
y
=
k
⋅
x
where k is a constant of proportionality.
Using the values given:
6
=
18
⋅
k
⇒
k
=
1
3
y
=
1
3
⋅
12
=
4
Answer:
x= (-1+ √17) or (-1-√17)
Step-by-step explanation:
In this question, we have to solve for x from the given equation x² +2x+1 =17
Now, the equation can be rearranged to x² +2x -16 =0.
Here we can not apply the process of factorization to get the value of x.
Hence, we will use the Shridhar Acharya formula to solve the value of x.
{This formula gives, if ax² +bx +c =0 then, the value of x can be solved as
x=[-b±√(b²-4ac)]/2a }
Hence, in this case, the solution for x will be
x=
⇒ x=
⇒ x= (-1+ √17) or (-1-√17) (Answer)
