Answer:
There are 585 adults and children
Step-by-step explanation:
Let the number of adults be a, number of children be c and the number of seniors be a
Amount made per group;
adults; 52 * a = 52a
Children : 26 * c = 26c
Seniors = 20 * s = 20s
Adding all will give 20,490
52a + 20s + 26c = 20 490 ••••(i)
Now let us work with the ratios;
a : s = 6 : 1
a/s = 6/1
a = 6s •••••(ii)
Lastly;
a/c = 4/9
4c = 9a ••••(ii)
We want to get a + c
From the first equation , let’s substitute
52(6s) + 20s + 26c = 20,490
26c = 6.5 (4c)
but 4c = 9a; 6.5(9a)
But a = 6s
So we have; 6.5(9)(6s) = 351s
so we have;
312s + 351s + 20s = 20,490
683s = 20,490
s = 20490/683
s = 30
Recall;
a = 6s = 6 * 30 = 180
4c = 9a
4c = 9 * 180
c = (9 * 180)/4 = 405
So the total number of children and adult is a + c
405 + 180 = 585
Answer:
1 - Avenue A is perpendicular to South St.
2 - 70°
Step-by-step explanation:
1 - North, Center, and South St. are parallel lines. Therefore Ave A will be perpendicular to the three lines.
2 - Ave B and Center street forms a 70° angle. Since Center and South St. are parallel lines, they have corresponding angles. Therefore, Ave B and South St also form a 70° angle. The same is true for Ave B and North St.
Answer:
40.8 lbs
Step-by-step explanation:
First find how many 100 pounds are in the 340 lbs shark.
340/100=3.4
The sharks are fed 12 lbs of fish for every 100 pounds of shark.
There are 3.4 hundred pounds in this shark.
3.4*12=40.8; 40.8 lbs
C. Both options A and B will allow him to meet his goal.
_____
On his original plan, he is $30 short. (A) By delaying his class 1 week, he can add one more payment, so will have $95 more than he needs. (B) By increasing his payment $15 each week for the remaining 2 weeks, he will have exactly the amount he needs to take the class at the time he originally wanted.
Answer:
to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.
