Answer:
x + 2y ≤ 100 and x + 3y ≤ 400
Maximum profit = 6x + 5y.
Step-by-step explanation:
Let there be x number of small dishes and y number of large dishes to maximize the profit.
So, total profit is P = 6x + 5y .......... (1)
Now, the small dish uses 1 cup of sauce and 1 cup of cheese and the large dish uses 2 cups of sauce and 3 cups of cheese.
So, as per given conditions,
x + 2y ≤ 100 ........ (1) and
x + 3y ≤ 400 .......... (2)
Therefore, those are the constraints for the problem. (Answer)
The mean is the average of a given data set and can be obtained by taking the sum of all numbers and dividing that by the amount of numbers in the data set.
58 + 43 + 33 + 69 + 41 + 74 = 318
There are 6 numbers in the data set.
318 / 6 = 53
Answer:
Abby's mother spent $9.75 for the classroom not including tax.
Step-by-step explanation:
Know:
5 bags for 1 dollar
10 candy bars for 50 cents
3 whistles for 75 cents
5×6=30
10×3=30
3×10=30
- 5 times 6 is thirty. So find the product of 6 and 1 which is 6. 6 is the overall cost of bags.
- 10 times 3 is 30. So find the product of 3 and .50 which is 1.50. 1.50 dollars is the overall cost of candy bars.
- 3 times 10 is 30. You then find the product of 3 and .75. The product of this is 2.25 which is the total cost of whistles.
- Next you add all the values together which are 6.00 + 1.50 + 2.25 this equals $9.75
Here: m = 6, b = 4.
m is the slope of the line, so slope is 6.
any line parallel to this line will also have the slope of 6.
any line perpendicular to the given line will have the slope of: -1/m1<span>.
hope this helps leave a thanks if it does </span>
Answer:
Using the simple mathematical relations and formulas we get the following correct answers.
1. Option A
2. Option C
3. Option D
4. Option C
5. Option D
Step-by-step explanation:
1. The approximate room temperature is 20°C. Option A is correct.
2. 1 day has 24 hrs. 5 days will have 5×24 = 120 hrs. Option C is correct.
3. The discharge is 56m³/sec. 1m³ has 1000L. So the discharge is 56000L/sec. Option D is correct.
4. The speed is 25cm/min or (25×0.01×60)m/hrs. = 15m/hrs. For 75m the snail would take 75/15 = 5hrs. Option C is correct.
5. The relation between °C and °F is (F-32)/1.8. The equivalent temperature is (105-32)/1.8 = 40.56°C. Option D is correct.
For more explanation, refer the following link
brainly.com/question/27956217
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