To solve, you would need to make two equations and substitute one in for the other. Let a = # of adults, and c = # of children
5a + 2c = 1,220
a + c = 295
a + c = 295
-c -c
a = 295 - c
5(295 - c) + 2c = 1,220
1,475 - 5c + 2c = 1,220
1,475 - 3c = 1,220
1,475 - 3c = 1,220
-1,475 -1,475
-3c = -255
-3c/-3 = -255/-3
c = 85
a + c = 295
a + 85 = 295
-85 -85
a = 210
210 adults attended the dance recital
Hope this helps!
Answer:
A.) The sum of the product of the number of terms and the number of terms plus one.
Step-by-step explanation:
So, we have the sum of the first 22 positive even numbers:
S = 2 + 4+ 6 + ... + 44
We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).
S = (2 + 44) * 11 = 46 * 11 = 506
Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).
S = 22 * 23 = 506
That's confirmed.
Answer B would give 22 * 21 = 462, so it's not right
Answer C would give 22 * 2 = 44, obviously not right
Answer D would give 22 * 22 = 484, close but not right.
For 2 1/6 = 13/6 Ft, ant takes = 1 min.
So, for 1 ft, it takes = 6/13 min.
Now, for 5 1/5 = 26/5 min. it would take = 6/13 * 26/512/5 = 2.4 min
In short, Your Answer would be 2.4 min
Hope this helps!
I'm assuming that % means $:
8.95*2 = 17.9
23.65 - 17.9 = 5.74
The cost of the paint was $5.74
Answer:
the first option
Step-by-step explanation:
solution:
distance: d=1/4 lc (because is a quarter of a circle)
length of the circumference: lc=2 pi r
pi: constant=3.14
radius of the circle: r=80 feet
replacing pi and r in the formula of lc:
lc=2 pi r
lc=2 (3.14) (80 feet)
lc=502.4 feet
replacing lc in the formula of d:
d=1/4 lc
d=1/4 (502.4 feet)
d=502.4/4 feet
d=125.6 feet