Answer:
Step-by-step explanation:
we know that
The algebraic expression of the phrase " The sum of square of c and d" is equal to adds the square of number c to the number d
The algebraic expression of the phrase " The sum of square of c and d increased by twice their product" is equal to
Let a=price of adult ticket
let c=price of a child's ticket
start out by writing the following system of equations:
3a+4c=132
2a+3c=94
then, multiply the first equation by 2, and the second equation by 3 to get the following system of equations:
6a+8c=264
6a+9c=282
subtract the like terms to get the following equation:
-c=-18
divide both sides by -1 to get rid of the negative to get the price of a child's ticket to be $18. to find the price of an adult ticket, pick one of the original equations to substitute the 18 in for c to find a. for example:
2a+3c=94
2a+3(18)=94
2a+54=94
-54 -54
2a=40
2 2
a=20
or if you decide to use the other equation:
3a+4c=132
3a+4(18)=132
3a+72=132
-72 -72
3a=60
3 3
a=20
either way, you still get an adults ticket to be $20 and a child's ticket to be $18.
You need to convert the second equation to slope/intercept form. The first equation is in that form already. Then you can compare slopes.
-6x + 8y = 14
8y = 6x + 14
y = (3/4)x + 14/8
SO THE SLOPE IS 3/4 which is the same as slope of equation 1
Therfore they are parallel.
Answer:
6,000:3
Step-by-step explanation:
Answer:
18.6 ounces
Step-by-step explanation:
