Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
Answer:
adult tickets = 17, children tickets = 9
Step-by-step explanation:
Let x be the number of children and y the number of adults
Then given that 26 tickets are sold, we can write
x + y = 26 → (1)
Given that ticket cost was $194 we can write
5.5x + 8.5y = 194 → (2)
Rearrange (1) expressing y in terms of x by subtracting x from both sides
y = 26 - x → (3)
Substitute y = 26 - x into (2)
5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side
5.5x + 221 - 8.5x = 194
- 3x + 221 = 194 ( subtract 221 from both sides )
- 3x = - 27 ( divide both sides by - 3 )
x = 9
Substitute x = 9 into (3) for corresponding value of y
y = 26 - 9 = 17
Hence number of adult tickets sold = 17
number of children tickets sold = 9
Answer:
67
Step-by-step explanation:
Since the diagonals in a rectangle are congruent, AC=BD and
7x+18=10x-3
We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in
18=3x-3
Next, add 3 to both sides to get
21=3x
Divide both sides by 3 to get
x=7
Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67
Answer:
I think its A, Because if you look at the problome A makes sense
Answer:
A is the only solution.
Step-by-step explanation:
A simple way to solve it is to plug in the x and y values
For A, we plug in 2 for x and 3 for y
3-3=5(2-2)
0=5(0)
0=0
Ordered pair A is a solution
For B, plug in 3 for x and 2 for y
2-3=5(3-2)
-1=5(1)
-1 does not equal 5
Therefore only A is a solution
