You can solve the system of equations.
Multiply the first equation by -3 and add to the second equation.
-3x - 3y = -72
3x + 5y = 100
(add) --------------------------
2y = 28
y = 14
x + y = 24
x + 14 = 24
x = 10
Answer:
There are 10 3-points questions and 14 5-point questions.
Check: 10 + 14 = 24 There are 24 questions
10 * 3 + 14 * 5 = 30 + 70 = 100 The total number of points is 100.
Our answer is correct.
Answer:
200.96 square feet
Step-by-step explanation:
The amount of fencing Scott will need to buy can be gotten by calculating the area of the circular rock garden .
Area of a circle is given by
Pi r^2
Where
r = radius
Given diameter of 16 feet
r = diameter/2
= 16/2
= 8 feet
Pi = 3.14
Therefore,
Area = 3.14 x 8^2
= 3.14 x 8 x 8
= 200.96 square feet
The amount of fencing Scott will need to buy is 200.96square feet
For this case we have the following equation:

Step 1 of the solution is to make the distributive property.
We have then:

Step 1 is correct.
The step is to combine similar terms. Caleb wrote:

He wrongly combined the similar terms on the right side of the equation.
The correct solution is:
Answer: In step 2, the like terms were not combined on the right side of the equation.
Answer:
Keisha has 1/8th of the sandwich that she brings back.
Step-by-step explanation:
To start, take a whole sandwich and subtract the 1/2 she left at home and the 3/8 that her family ate.
1 - 1/2 - 3/8 = Leftover
We also need to give them common denominators to complete the action.
8/8 - 4/8 - 3/8 = Leftover
1/8 = Leftover