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Lubov Fominskaja [6]
2 years ago
15

A group of 12 people want to go to a concert. They can travel in a small car that takes one driver and one passenger and two car

s that each take one driver and four passengers. If there are five drivers in the group, how many ways can they travel to the concert?
Mathematics
1 answer:
trapecia [35]2 years ago
7 0

Answer: There are 60 ways that they can travel to the concert.

Step-by-step explanation:

Since we have given that

Number of people want to go to a concert = 12

Number of cars = 3

Number of drivers in the group = 5

So, using the "Fundamental theorem of counting":

We get that

5\times 4\times 3\\\\=60

Hence, there are 60 ways that they can travel to the concert.

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Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gall
Evgen [1.6K]
Let x represent gallons of $19 paint
let y represent gallons of $3 paint

first you make your 2 equations

x+y=16, y=16-x
(19x+3y) ÷ 16 = 14

then you use substitution

14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y

so there are 11 gallons of $19 paint and 5 gallons of $3 paint


4 0
2 years ago
Suppose f and g are continuous functions such that g(2) = 6 and lim x → 2 [3f(x) + f(x)g(x)] = 36. find f(2).
True [87]

Answer: f(2) = 4

Step-by-step explanation:

F(x) and g(x) are said to be continuous functions

Lim x=2 [3f(x) + f(x)g(x)] = 36

g(x) = 2

Limit x=2

[3f(2) + f(2)g(2)] = 36

[3f(2) + f(2) . 6] = 36

[3f(2) + 6f(2)] = 36

9f(2) = 36

Divide both sides by 9

f(2) = 36/9

f(2) = 4

7 0
1 year ago
During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate suppose a penny is dro
andrezito [222]

the penny travels at a faster rate by 56.4 kilometers

penny = 153 for 30 min

penny = 306 for 1 hour

rocket = 208 in 50 min

208/5 = 41.6 *6 = 249.6 in 1 hour

penny is faster by 56.4 kilometers

6 0
2 years ago
The population of a village is modeled by the function P(t) = 890e0.024t, where P is the population after t years. What does 890
mars1129 [50]

Answer:

I believe the answer is A. Population Growth Rate

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find the cube roots of 8(cos 216° + i sin 216°).
Tomtit [17]
z^3=8(\cos216^\circ+i\sin216^\circ)
z^3=2^3(\cos(6^3)^\circ+i\sin(6^3)^\circ)
\implies z=8^{1/3}\left(\cos\left(\dfrac{216+360k}3\right)^\circ+i\sin\left(\dfrac{216+360k}3\right)^\circ\right)

where k=0,1,2. So the third roots are

z=\begin{cases}2(\cos72^\circ+i\sin72^\circ)\\2(\cos192^\circ+i\sin192^\circ)\\2(\cos312^\circ+i\sin312^\circ)\end{cases}
5 0
1 year ago
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