Answer: The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let x represent the number of 3-point questions.
Let y represent the number of 5-point questions.
The maths test consists of 24 questions. This means that
x + y = 24
Each question is worth either 3 points or 5 and the test is worth 100 points. This means that
3x + 5y = 100 - - - - - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
- 3y + 5y = 100 - 72
2y = 28
y = 28/2 = 14
Substituting y = 14 into x = 24 - y , it becomes
x = 24 - 14 = 10
Step-by-step explanation:

Solve the equation of the function for n.
a(n) = 3n - 20
a = 3n - 20
a + 20 = 3n
(a + 20)/3 = n
n = (a + 20)/3
n(a) = (a + 20)/3
Answer:
There are no solutions to the inequality.
Step-by-step explanation:
|x - 3| < x – 3
1. Separate the inequality into two separate ones.
(1) x – 3 < x – 3
(2) x – 3 < -(x – 3)
2. Solve each equation separately
(a) Equation (1)

(b) Equation (2)

For example, if x = 0, we get
|0 - 3| < 0 - 3 or
3 < -3
Hi there!
We know that the formula for the area of a rectangle is height * width. Thus, we can multiply these two expressions together:

Now, we know through the distributive property that we can distribute the
to everything in the parenthesis. Once this is done, we get:

Now, we know through the power rule that when two exponents are multiplied together with the same base, the exponent can be added together
. This then would make our equation:

Giving us for our final answer:

Hope this helps!