Answer:
The drama club bought 35 t-shirt
Step-by-step explanation:
Let
t-shirt = x
Sweatshirt = y
Total cost = $795
They purchase 20 more tshirts than sweatshirts
x = y + 20
The equation is:
12x + 25y = 795
12(y + 20) + 25y = 795
12y + 240 + 25y = 795
37y = 795 - 240
37y = 555
y = 15
Substitute y = 15 into
x = y + 20
x = 15 + 20
x = 35
t-shirt = 35
Sweatshirt = 15
The drama club bought 35 t-shirt
Whenever you have the answers for TOTAL MILES RUN and HOW MANY HOURS RUN (which you do), just divide the total miles by the amount of hours!
So, do 231 / 10.5
This is equal to 22!
Step-by-step explanation:
the diameter of a circle is simply 2×radius.
2×15.4 = 30.8 m
the diameter is 30.8 m is true.
the circumference of a circle is
2×pi×radius
2×pi×15.4 = 30.8×pi m
the circumference is 30.8pi m is true.
therefore, the circumference can be found using
2(pi)(15.4)
is true.
now, doing the pi multiplication :
30.8 × pi = 96.76105373... m
the approximate circumference is 96.7 m is true.
6 diameters would be
30.8×6 = 184.8 m
that is much longer than the circumference.
so, more than 6 diameters could be wrapped around the circle is false, if we understand it that this is supposed to wrap the circle once without any overhanging remainder.
Lets compare both equations so we can explain the reason for it, and see it clearly:
<span>y1 = 5x + 1
</span><span>y2 = 4x + 2
y1 > y2
</span>5x + 1 > 4x + <span>2
</span>To see why that happens we need to solve for x:
5x - 4x > 2 - 1
x > 1
Therefore, the first equation is greater than the second for values of x > 1
