Answer:
- w + b = 13
- 6.5w + 2b = 57.5
Step-by-step explanation:
Let w represent the number of gifts wrapped. Let b represent the number of bags prepared.
w + b = 13 . . . . gift bags and gifts wrapped
6.5w +2b = 57.5 . . . . total time spent preparing gifts
_____
Lincoln wrapped 7 gifts and bagged 6.
Answer:
1) 4 2)7
Step-by-step explanation:
1) If we divide 3.75/3=1.25 which is the amount of time she takes per yard so if we add another yard to what she has already done we find she only could do one more yard in 5 hours 3.75+1.25=5.00 So she can only rake 4 yards in 5 hours
2) If we divide 20.25/3=6.75 we find that each ticket is $6.75 so we must divide that by 47.25 to get the amount of tickets 47.25/6.75=7
Answer:
27 miles in the morning and 85 miles in the afternoon.
Explanation:
Let m be the number of miles they rode in the morning. They rode 4 more than 3 times this many in the afternoon; this gives us the expression
3m+4
to represent the miles ridden in the afternoon.
Together they rode 112 miles; this means we add the morning miles, m, to the afternoon miles, 3m+4, and get 112:
m+3m+4 = 112
Combine like terms:
4m+4 = 112
Subtract 4 from each side:
4m+4-4= 112-4
4m = 108
Divide both sides by 4:
4m/4 = 108/4
m = 27
They rode 27 miles in the morning.
That means in the afternoon, they rode
3m+4 = 3(27)+4 = 81+4 = 85 miles.
Answer:
Minor arc BC - 130° (arc at which inscribed angle is subtended)
The major arc BC - 230°
Step-by-step explanation:
Angle BDC is inscribed angle subtended on the arc BC.
The measure of the angle BDC is 65°.
The Central Angle Theorem states that the central angle from two chosen points B and C on the circle is always twice the inscribed angle from those two points.
By the central angle theorem, the measure of central angle BOC (O is the center of the circle) has the measure of
Hence, the minor arc BC has the same measure as the central angle BOC that is 130°.
The major arc BC has the measure
Answer:
9 weeks
Step-by-step explanation:
let the time when they will both have the same amount be x
since Maria is saving then her money is bound to increase
therefore amount she will have after x weeks=235+15x
Sergio is spending so his money is reducing
therefore amount he will have after x weeks=
685-35x
so
235+15x=685-35x
685-235=15x+35x
450=50x
x= 450/50
9weeks
