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Oksi-84 [34.3K]

3 years ago

13

The owners of the River View Restaurant have hired enough servers to handle 17 tables of customers, and the fire marshal has app

roved the restaurant for a limit of 56 customers. How many two-seat tables and how many four-seat tables should the owners purchase?

1 answer:

n200080 [17]3 years ago

8 0

You could have all 4 seat tables at 14

or if you want both you could have 12 four seat and 4 two seat

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|0.7x+5|>6.7<br><br>Help plz

Pavlova-9 [17]

Answer:

$\large\boxed{x\dfrac{17}{7}}\\\downarrow\\\boxed{x\in\left(-\infty,\ -\dfrac{117}{7}\right)\ \cup\ \left(\dfrac{17}{7};\ \infty\right)}$

Step-by-step explanation:

$|0.7x+5|>6.7\iff0.7x+5>6.7\ or\ 0.7x+56.7\qquad\text{subtract 5 from both sides}\\0.7x>1.7\qquad\text{divide both sides by 0.7}\\x>\dfrac{1.7}{0.7}\to x>\dfrac{17}{7}\\\\(2)\\0.7x+5$

5 0

3 years ago

Mrs. Lewis make some orange juice after making another 850 mL of juice she now has 4 880 mL of orange juice how much orange juic

Dmitry [639]

I believe the answer is 4030mL because 4880-850= 4030mL

6 0

4 years ago

You need a 65% alcohol solution. On hand, you have a 50 mL of a 30% alcohol mixture. You also have 70% alcohol mixture. How much

DIA [1.3K]

Answer:

350 mL

Step-by-step explanation:

Let q represent the quantity (in mL) needed of the 70% solution. Then the total amount of mixture will be q+50 milliliters. The total amount of alcohol in the mixture will be ...

0.70q +0.30(50) = 0.65(50 +q)

.05q = 17.5 . . . . . . subtract (0.65q +1.50)

q = 350 . . . . . . . . . divide by 0.05

You will need 350 mL of the 70% solution.

5 0

3 years ago

Water is leaking out of an inverted conical tank at a rate of 6,500 cm3/min at the same time that water is being pumped into the

Nana76 [90]

Answer:

285,753 cm³/min

Step-by-step explanation:

The rate of change of volume is the product of the water's surface area and its rate of change of depth.

At a depth of 2 m, the water has filled 1/3 of the 6 m depth of the tank. So, the radius at the water's surface will be 1/3 of the tank's radius of 2 m. The water's surface area is ...

A = πr² = π(2/3 m)² = 4π/9 m²

The rate of change of depth is 0.2 m/min, so the volume of water is increasing at the rate ...

dV/dt = (0.20 m/min)(4π/9 m²) = 8π/90 m³/min ≈ 279253 cm³/min

This change in volume is the difference between the rate at which water is being pumped in and the rate at which it is leaking out:

2.8×10⁵ cm³/min = (input rate) - 6500 cm³/min

Adding 6500 cm³/min to the equation, we get ...

input rate ≈ 285,753 cm³/min

4 0

4 years ago

Find the sale price. The original price of a remote control car is $70. The car is on sale for 20% off.

Mrac [35]

$56
Explanation:
70(20%)=14
70-14=56

3 0

3 years ago

Read 2 more answers