Answer:
The will play the song at the same time by 4:12 pm
Step-by-step explanation:
here, we want to know the time both radio station will play the song after 3pm.
Mathematically to get this, we shall need to find the lcm of both 18 and 24. LCM stands for the lowest common multiple of both.
The lowest common multiple of both is 72.
This means that after 72 minutes, they will both play the song
So the time then would be;
72 + 3 = 4 : 12 pm
Answer:
D
Step-by-step explanation:
Given x and y are in proportion then the equation relating them is
y = kx ← k is the constant of proportion
The only one fitting this description is
y = - 2x → D
Answer: 3
Step-by-step explanation:
In theory we know that the equation of a linear function is expressed as
Eq.(1): y = m*x + c,
where m is the slope and c is a constant.
From the table we know the values of x and y, so we can use any of those, but in this case lets use the first and third rows of the table and substituting in Eq.(1) we obtain a 2-equation system as follow:
Point (-2,-2) gives: -2 = (-2)*m + c Eq.(2)
Point (0,4) gives: 4 = (0)*m + c Eq.(3)
Now rearranging Eq.(2) we get: -2 = -2*m + c <=> -2 - c = -2m Eq.(4)
Then rearranging Eq.(3) we get: 4 = 0 + c <=> c = 4
Plugging the value of c in Eq.(4) we get:
-2 = -2m + 4 <=> -2 - 4 = - 2m <=> -6 = -2m <=> m = 3
So finally and from Eq.(1) we obtain
y = 3x + c
Answer:
142°
Step-by-step explanation:
Sum of interior angles of a polygon= (n -2) ×180°, where n is the number of sides of the polygon
Since this polygon has 5 sides, n= 5.
Sum of interior angles
= (5 -2) ×180°
= 3 ×180°
= 540°
Sum of interior angles= 540°
5x +8+5x +10 +6x +15 +7x +2 +2x +5= 540
Grouping like terms together:
5x +5x +6x +7x +2x +8 +10 +15 +2 +5= 540
Simplify:
25x +40= 540
Bringing all constants to one side of the equation:
25x= 540 -40
25x= 500
Divide both sides by 25:
x= 500 ÷25
x= 20
The angle (7x +2)° is the largest interior angle in this polygon.
7x +2
= 7(20) +2
= 142
Thus, the largest interior angle is 142°.
<u>Check</u><u>:</u>
5x +8= 5(20) +8= 108
5x +10= 5(20) +10= 110
6x +15= 6(20) +15= 135
2x +5= 2(20) +5= 45
The other interior angles are 108°, 110°, 135° and 45°. Hence 142° is the largest interior angle in this polygon.