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SOVA2 [1]
2 years ago
13

The ratio of men to women working for a company is 3 to 5. If there are 152 employees total, how many women work for the company

?
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
7 0

Answer:

38

Step-by-step explanation:

mhmm

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A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
3 years ago
Determine the equation of a circle with a center at (–4, 0) that passes through the point (–2, 1) by following the steps below.
GaryK [48]

Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

6 0
2 years ago
Read 2 more answers
According to the diagram, point B lies on how many faces of the pyramid?
Lina20 [59]

Answer:

A.1

Step-by-step explanation:

No other point is connect to those 4 lines

6 0
2 years ago
Peter drove 432 Mi over a period of 6 hours while his best friend Eric drove 360 miles over 5 hours who had the faster unit righ
Darina [25.2K]

Answer:

Both Peter and Eric had the same unit rate of 72mph.

Step-by-step explanation:

Peter:

432/6 = 72

72 miles per hour

Eric:

360/5 = 72

72 miles per hour

4 0
3 years ago
What is the slope of y-4=5/2(x-2)
OLEGan [10]
The answer is 5/2. The equation is already in point slope form. If you recall, the equation for point slope form is y-y1 = m(x-x1) where y1 and x1 are points on the graph, and m is the slope. In the given equation, m is 5/2 so we know it is the slope.
Alternatively, if you are not familiar with the point slope for equation, you can manipulate the equation to the form of y=mx+b where m is the slope and b is the constant. If you solve for y, you get y=5/2x-1 since 5/2 is in the place of m, we know 5/2 is the slope.

6 0
3 years ago
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