Ask question

Ask question

All categories

3 years ago

8

A restaurant can seat 100 people. It has booths that seat 4 people and tables that seat 6 people. So far 5of the booths are full

. Which expression matches the situation

1 answer:

Pachacha [2.7K]3 years ago

6 0

How many booths and tables are there altogether?

You might be interested in

James works for a delivery company. He gets paid a flat rate of $5 each day he works, plus an additional amount of money for eve

otez555 [7]

Answer:

(a) The rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b) The rate of change is the same between the two time intervals.

Step-by-step explanation:

The rate of change for a variables based on another variable is known as the slope.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

(a)

Compute the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries as follows:

For, <em>x</em>₁ = 0 and <em>x</em>₂ = 2 deliveries the money earned are <em>y</em>₁ = $5 and <em>y</em>₂ = $9.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{9-5}{2-0}\\\\=\frac{4}{2}\\\\=2$

Thus, the rate of change for the money earned, measured as dollars per delivery, between 0 and 2 deliveries is $2.

(b)

Compute the rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries as follows:

For, <em>x</em>₁ = 2 and <em>x</em>₂ = 4 deliveries the money earned are <em>y</em>₁ = $9 and <em>y</em>₂ = $13.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{13-9}{4-2}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 2 and 4 deliveries is $2.

Compute the rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries as follows:

For, <em>x</em>₁ = 6 and <em>x</em>₂ = 8 deliveries the money earned are <em>y</em>₁ = $17 and <em>y</em>₂ = $21.

The rate of change for the money earned is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{17-21}{8-6}\\\\=\frac{4}{2}\\\\=2$

The rate of change for the money earned, measured as dollars per delivery, between 6 and 8 deliveries is $2.

Thus, the rate of change is the same between the two time intervals.

8 0

3 years ago

Max drove 460 miles in 8 hours at a constant speed. How long would it take him to drive 661.25 miles at that speed?

lord [1]

460/8 = 57.5 They were going 57.5 mph

661.25/57.5mph = 11.5

It will take them 11 and a half hours go get wherever they're going.

8 0

3 years ago

Find the areas of the sectors formed by ZDFE. Round your answers to the nealest hundredth.

Sonja [21]

Answer:

Step-by-step explanation:

Area of the sector is modeled by the expression = $\frac{\theta}{360}(\pi ) r^{2}$

Here, θ = central angle subtended by the arc

r = Radius of the circle

Area of the red sector = $\frac{137}{360}(\pi)(28)^{2}$

= 937.311

≈ 937.31 m²

Therefore, area of the red sector is 937.31 m².

3 0

3 years ago

A paint mixture uses a specific blue to yellow ratio. for every 7 gallons of paint, 2 are blue. enter the ratio of yellow paint

Hitman42 [59]

Answer:

7:9

Step-by-step explanation:

For very 9 gallons of paint, it needs 7 gallons of yellow.

7 0

2 years ago

Evaluate the expression, if x = 12, y = 8, and z = 3. 5y +

enyata [817]

The correct answer is 44

6 0

3 years ago