Use a graphing calculator or online application to find the solution to to the nearest tenth.

Mathematics

1 answer:

Aliun [14]3 years ago

3 0

Answer:

it would be 98%

Step-by-step explanation:

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Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete

lara31 [8.8K]

We can use fraction to solve this problem. Since Jean can fill the pool in 8 hours and Mark in 12 hours, we can use the formula X/8 + X/12 = 1 where X/8 stands for Jean's job and X/12 for Mark's.

X - total number of hours Jean and Mark can fill the pool

To add the two fractions, we need to have the same denominator which is 24.

The equation will be (3X + 2x) / 24 = 1, which will give us a simplified formula of 5X / 24 = 1.

To get X, we need to multiply 24 to both sides (5X/24 and 1) so that the equation will be 5X = 24. We only need to solve for X, so we will remove 5 from X by dividing it to 24, giving us the equation 5X/5 = 24/5.

The final answer will be X = 24/5 hours or 4.8 hours.

Therefore, the supervisor is incorrect since Jean and Mark can fill the pool in less than 10 hours.

4 0

3 years ago

a lunch stand makes a $.75 profit on each chef's salad and $1.20 profit on each caesar salad. On a typical weekday, it sells bet

tangare [24]

Answer:

50 Chef's salads and 50 Caesar salads should be prepared in order to maximize profit.

Step-by-step explanation:

Suppose, the number of Chef's salad is $x$ and the number of Caesar salad is $y$

On a typical weekday, it sells between 40 and 60 Chefs salads and between 35 and 50 Caesar salads.

So, the two constraints are: $40\leq x\leq 60$ and $35\leq y\leq 50$

The total number sold has never exceed 100 salads. So, another constraint will be: $x+y\leq 100$

According to the graph of the constraints, the vertices of the common shaded region are: $(40,35), (60,35), (60,40), (50,50)$ and $(40,50)$ (Refer to the attached image for the graph)