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Lelu [443]
3 years ago
15

Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges $350 for the banquet ro

om plus $32.50 per person for lunch. How many people can Kellen have at the shower if she wants the maximum cost to be $1,500?
please help
Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

35

Step-by-step explanation:

To solve this problem, we can make an equation using the values provided to us. The equation is shown below:

350 + 32.50x = 1,500

The first step is to subtract 350 from 1,500.

32.50x=1,500-350

32.50x=1,150

The last step is to divide 1,150 by 32.50 to get <em>x</em> by itself.

x=\frac{1,150}{32.50}

x=35.38

Kellen can have 35 people at the shower.

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PLEASE HELP PLEASE!!!
defon

Answer:

We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

  • x = -1
  • x - 0

Step-by-step explanation:

Given the table

x                f(x) = 2ˣ - 1                  g(x) = 1/2x

-2                  -3/4                               -1

-1                    -1/2                               -1/2

0                     0                                   0

1                       1                                   1/2

2                     3                                    1

If we carefully observe, we can determine that

at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = 0

  • f(0) = 0
  • g(0) = 0

Thus,

at x = 0

f(x) = g(x)

Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

In other words,

at x = -1

  • f(-1) = -1/2
  • g(-1) = -1/2

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.

Therefore, the solution to f(x) = g(x) is:

  • x = -1
  • x - 0
6 0
2 years ago
the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is
timofeeve [1]
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0
3 years ago
Read 2 more answers
How long does it take $150 to grow to $600 at 5% annual percentage rate compounded continously? Round to the nearest whole numbe
kakasveta [241]

Or, if your money is earning a 5 percent interest rate, you'll double it in 14.4 years (72 divided by 5 equals 14.4). If your money is earning a measly 1 percent interest rate, it will take you—yep, you guessed it—a whopping 72 years to double it.

6 0
2 years ago
Oranges cost 85 cents each.
Naily [24]

Answer:

11

Step-by-step explanation: 100 cents- $1

85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935

935 or 9.35 dollars

8 0
3 years ago
Read 2 more answers
A 10 foot ladder is leaning against a wall. Call x the distance from the top of the ladder to the ground, and call y the distanc
liq [111]

-5.3\:\text{ft/s}

Step-by-step explanation:

We start by applying the Pythagorean theorem to the ladder, with its length L as the hypotenuse:

L^2 = 100\:\text{ft}^2 = x^2 + y^2

where x is the vertical distance from the top of the ladder to the ground and y is the horizontal distance from the bottom of the ladder to the wall. Taking the derivative of the above expression with respect to time, we get

0 = 2x\dfrac{dx}{dt} + 2y\dfrac{dy}{dt}

Solving for dx/dt, we get

\dfrac{dx}{dt} = -\left(\dfrac{y}{x}\right)\dfrac{dy}{dt} = -\left(\dfrac{\sqrt{L^2 - x^2}}{x}\right)\dfrac{dy}{dt}

We know that

\dfrac{dy}{dt} = 4\:\text{ft/s}

when x = 6 ft. So the rate at which the top of the ladder is going down is

\dfrac{dx}{dt} = -\left(\dfrac{\sqrt{100\:\text{ft}^2 - (6\:\text{ft})^2}}{6\:\text{ft}}\right)(4\:\text{ft/s})

\:\:\:\:\:\:\:= -5.3\:\text{ft/s}

The negative sign means that the distance x is decreasing as y is increasing.

5 0
3 years ago
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