10 ≤ x ≤ 30, x < 2y, x < 40.
Solution:
Given x is the number of graphing calculators produced daily and
y is the number of scientific calculators produced daily.
Step 1: A company produce atleast 10 and not more than 30 graphing calculators per day.
⇒ 10 ≤ x < 30
Step 2: Each day, the number of graphing calculators cannot exceed twice the number of scientific calculators produced.
⇒ x < 2y
Step 3: The number of scientific calculators cannot exceed 40 per day.
⇒ x < 40
Hence, the constraints are 10 ≤ x ≤ 30, x < 2y, x < 40.
The answer is, x=11
hope this helps!
Answer:18
Step-by-step explanation:
Answer:
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
Step-by-step explanation:
Let the cost of tacos be x and the cost of quesadillas be y.
<h3><u>Given condition:</u></h3>
x + 3y = 26.50 ------------------(1)
3x + y = 19.50 -------------------(2)
Multiply Eq. (2) by 3
3(3x + y) = 19.50 * 3
9x + 3y = 58.5 -----------------(3)
Subtract Eq. (3) from (1)
x + 3y - 9x - 3y = 26.50 - 58.50
x - 9x = -32
-8x = -32
8x = 32
Divide 8 to both sides
x = $4
Put x = 4 in (1)
4 + 3y = 26.50
Subtract 4 to both sides
3y = 26.50 - 4
3y = 22.50
Divide 3 to both sides
y = $7.50
So,
The cost of 1 taco = $4
The cost of 1 quesadilla = $7.50
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