Answer:
327 children and 318 adults
Step-by-step explanation:
The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:
x+y=645
1.75x+2.50y=1367.25
Move y to the other side in the first equation to isolate x and solve the system using substitution:
x=645-y
1.75(645-y)+2.50y=1367.25
Distribute
1128.75-1.75y+2.50y=1367.25
1128.75+0.75y=1367.25
Subtract 1128.75 from both sides
0.75y=238.5
Divide both sides by 0.75
y=318
x=645-y
x=645-318
x=327
327 children and 318 adults swam at the pool that day
Step-by-step explanation:
So 8x3 = 24
24 + 12x
the common factor is 12
so you divide everything by 12
24 ÷ 12 = 2
12x ÷ 12 = x
final answer: 12 (2+x)
Answer:
3.05 or 31/2 pounds
56 ounces
Step-by-step explanation:
To find the total weight all the weights have to have the same units of measurements
It is either pounds is converted to ounces or ounces is converted to pounds
1. convert ounces to pound
1 ounce = 0.0625
12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4
add together = 1 1/2 + 3/4 + 1 1/4 = 
= 
= 3 1/2
2. 16 ounces = 1 pound
flour = 16 x 1 1/2 = 24
sugar = 16 x 1 1/4 = 20
total = 24 + 20 + 12 = 56 ounces
Answer:
Two distinct real solutions.
Step-by-step explanation:
Given the equation in the form 
, you need to find the Discriminant with this formula:
For the equation 
you can identify that:
Then, substituting these values into the formula, you get that the Discriminant is:
Since 
, then has two distinct real solutions.
