Answer:
2b + 4 = 22
b= 9, the cost of each game is $9
Step-by-step explanation:
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Answer:
Step-by-step explanation:
Since radar reports 30 tracks in one minute in which 60 seconds makes 1 minute
Let calculate using this formula
Using this formula
Percentage of time=Tracks reported in minutes/60 seconds*100
Let plug in the formula
Percentage of time=30 tracks/60 seconds*100
Percentage of time=0.5*100
Percentage of time=50%
Inconclusion The percentage of the time that radar track the aircraft is 50%
V= s^3
a=486/6=81
s=sqrt(81)=9
v=9^3=729
the volume of the cube is 729cm^3
Answer:
Kevin will earn the money before than Philip
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
Let's call x to the number of weeks
Philip works 6 hours each weekend, which means 6 hours per week, earning $8.75 per hour, which is equivalent to 6*8.75 = $52.5 per week
Philip has already saved $45. Then he needs the next number of weeks:
52.5*x + 45 = 225
x = (225 - 45)/52.5
x = 3.4
Philip needs at least 4 weeks
Kevin works 3 hours per day for 3 days a week, which means 9 hours per week, earning $7.5 per hour, which is equivalent to 9*7.5 = $67.5 per week
Kevin has already saved $30. Then he needs the next number of weeks:
67.5*x + 30 = 225
x = (225 - 30)/67.5
x = 2.9
Kevin needs at least 3 weeks