Answer: 45 points
Step-by-step explanation:
Let the point of the entire team be represented by x.
Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:
40% of x = 18
40% × x = 18
40/100 × x = 18
0.4 × x = 18
0.4x = 18
x = 18/0.4
x = 45
The team's total point is 45
Answer:
80
Step-by-step explanation:
3/5 of 200 = 120
200-120 = 80
Answer:
17. 10x+24 OR 108 18. 72 19. 8.4
Step-by-step explanation:
(10x+24)+72=180
10x+96=180
10x=84
x=8.4
10x+24
10(8.4)+24
84+24
108
Answer:
4 times
Step-by-step explanation:
Sample space :
6 sided cube = (1, 2, 3, 4, 5, 6)
Coin = (H, T)
Probability = required outcome / Total possible outcomes
Probability of head (H) = P(H) = 1 /2 = 0.5
Probability of 3 = P(3) = 1 /6 = 0.166666
Probability of heads and 3 on a single try = p(H) * p(3) = 0.5 * 0.166666 = 0.083333
Hence, expected number of times this is likely to occur in 48 tries :
0.083333 * 48 = 4
Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.
