Answer:
14 Striped and 10 Flowered
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation
Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,
g + h = 24 and
15g + 13h = 340
g = 24 - h
15(24 - h) + 13h = 340
360 - 15h + 13h = 340
2h = 20
h = 10
g = 24 - h
g = 24 - 10
= 14
Yes it is a square number
You can multiply 16<span> by 3 (the only prime factor of </span>24<span> not shared by </span>16), to find the LCM<span>: 3 * </span>16<span> = 48</span>
-- So 48 is the answer
Answer:
No, No, Yes, Yes
Step-by-step explanation:
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
