Step-by-step explanation:
Let x = the number of years since the first year and let y = the total number of plants.
Roses: y = 5 + 2x
Tulips: y = 20 – 3x
You can use elimination to solve.
y = 5 + 2x
(-)y = 20 – 3x
0 = -15 + 5x
15 = 5x
3 = x
This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.
The graphs appear to
intersect at (3, 11) which verifies that x=3
Step-by-step explanation:
Students Hours
52 8
X 6
So,
52×6=8×x
312=8x
312/8=x
39 Students Answer
Answer:
(a) 120 choices
(b) 110 choices
Step-by-step explanation:
The number of ways in which we can select k element from a group n elements is given by:

So, the number of ways in which a student can select the 7 questions from the 10 questions is calculated as:

Then each student have 120 possible choices.
On the other hand, if a student must answer at least 3 of the first 5 questions, we have the following cases:
1. A student select 3 questions from the first 5 questions and 4 questions from the last 5 questions. It means that the number of choices is given by:

2. A student select 4 questions from the first 5 questions and 3 questions from the last 5 questions. It means that the number of choices is given by:

3. A student select 5 questions from the first 5 questions and 2 questions from the last 5 questions. It means that the number of choices is given by:

So, if a student must answer at least 3 of the first 5 questions, he/she have 110 choices. It is calculated as:
50 + 50 + 10 = 110
Answer:
the 3rd A
Step-by-step explanation:
ABACB = 5 altogether
ABACB ABA = 8
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:
400 = 1000m + b (1)
Also:
300 = 500m + b (2)
Hence:
m = 0.2 = 20%, b = $200
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
Find out more on equation at: brainly.com/question/2972832