The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 2300 people enter the zoo and $7,450.00

is collected. How many children and how many adults attended?

700 children and 1600 adults.

Step-by-step explanation:

Given:

The admission fee at a local zoo is $1.50 for children and $4.00 for adults.

On a certain day, 2300 people enter the zoo and $7,450.00 is collected.

Question asked:

How many children and how many adults attended?

Solution:

Let number of children enter the zoo =

Then number of adults enter the zoo =

Total collection =  $7,450

Collection from children + Collection from adults = 7450

Subtracting both sides by 9200

Minus is canceled by minus.

Dividing both sides 2.5

Number of children enter the zoo = = 700

Number of adults enter the zoo = = 2300 - 700 = 1600

Thus, 700 children and 1600 adults attended the local zoo on that day.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)