Answer:

Step-by-step explanation:

Answer:
x=-21
Step-by-step explanation:
1/3x + 9 = 2
subtract 9 on both sides
1/3x = -7
multiply 3 on both sides bc its the reciprocal of 1/3
and you get -21
The answer is $25.
x - the price of an adult ticket
y - the price of a child ticket
The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86
This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
2x + 3y = 86
____
-2x - 2y = -74
2x + 3y = 86
____
Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
____
Substitute y in the first equation to find x:
2x + 2 * 12 = 74
2x + 24 = 74
2x = 74 - 24
2x = 50
x = 50/2
x = 25
So, the price of the adult ticket is $25 and the price of the child ticket is $12.
Answer:
See explanation
Step-by-step explanation:
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.
Factor number 24 and 60:

Find the greatest common factor

Hence, the greatest number of bags William can make is 12.
Each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 6 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 4 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 3 bags, each of these bags will have
cans of fruit and
cans of vegetables.
If he made fewer bags, 2 bags, each of these bags will have
cans of fruit and
cans of vegetables.
Since you know that PQ=RQ, you have an equilateral triangle. This makes things very simple.
Angle R should be the same as angle P.
A triangle is equal to 180 degrees.
Add angles P and R. Subtract 180 from the answer you got. That will give you 2a. a divided by 2 will give you a.
Or, since there are two right triangles, you can add 47 and 90. Subtract 180 from that and you will get a.