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zimovet [89]
2 years ago
10

During one month, a rental car agency rented a total of 155 vehicles. Nine times as many cars were rented as vans, and three tim

es as many vans were rented as trucks.
How many of each type of vehicle was rented?
Mathematics
1 answer:
MAXImum [283]2 years ago
3 0

The number of cars, vans and trucks rented are;

Number of Cars = 4 cars

Number of vans = 36 vans

Number of trucks =  108 trucks

<h3>How to solve Algebra Word Problems?</h3>

We are given;

Total number of vehicles = 155 vehicles

Let number of cars be x.

Thus, since Nine times as many cars were rented as vans, we have;

Number of vans rented = 9x

Now, three times as many vans were rented as trucks. Thus;

The number of trucks rented during one month = 3(9x)

Thus;

x + 9x + 27x = 155

37x = 155

x ≈ 4 cars

Number of vans = 9 * 4 = 36 vans

Number of trucks = 3 * 36 = 108 trucks

Read more about Algebra Word Problems at; brainly.com/question/13818690

#SPJ1

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andrey2020 [161]

Here we have a problem of probability, we will find that the probability of landing in heads is M/N = 1/3, then we have:

M + N = 1 + 3 = 4.

Let's see how we got that:

Let's define:

p = probability of landing on tails

q = probability of landing on heads.

The probability of getting at least one tails in 3 tosses is 26/27

This means that the probability of not getting tails in the 3 tosses is:

P = 1 - 26/27 = 1/27

And the case where you do not get any tails in the 3 tosses, means that in all the 3 tosses you got heads.

The probability of getting 3 heads in a row is:

P = q^3 = 1/27

Solving for q, we get:

q = ∛(1/27) = 1/3

Now we want to express q = M/N = 1/3

then we have:

M = 1

N = 3

Now we want to compute M + N = 1 + 3 = 4

If you want to learn more about probability, you can read:

brainly.com/question/24369877

6 0
3 years ago
Use the method of ELIMINATION to solve the system. You must SHOW ALL WORK. Make sure you have an answer for both x and y.
jekas [21]

Answer:

<h3>Required <u>Answer</u><u>:</u><u>-</u></h3>

\sf 4x+8y=10\dots\dots (1)

\sf -4x+2y=-30\dots\dots (2)

  • by adding eq (1) and eq (2) we get

{:}\longrightarrow\sf 4x+8y=20

{:}\longrightarrow\sf -4x+2y=-30

<h2>__________________________</h2>

{:}\longrightarrow\sf 10y=-10

{:}\longrightarrow\sf y={\dfrac {-10}{10}}

{:}\longrightarrow{\underline{\boxed{\bf y=-1}}}

  • Substitute the value in eq (2)

{:}\longrightarrow\sf -4x+2 (-1)=-30

{:}\longrightarrow\sf -4x-2=-30

{:}\longrightarrow\sf -4x=-30+2

{:}\longrightarrow\sf -4x=-28

{:}\longrightarrow\sf x={\dfrac {-28}{-4}}

{:}\longrightarrow{\underline{\boxed{\bf x=7}}}

\therefore{\underline{\boxed{\bf (x,y)=(7,-1)}}}

6 0
3 years ago
Read 2 more answers
Suppose x=7 is a solution to the equation 4x-2(x+a)=8 how can you find the value of a that make the equation true
marta [7]

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

8 0
2 years ago
The area of the square is 225 square centimeters. What is the length of each side?
kirill [66]
The answer is 15, to find this take 225 and square root

The area of a square is length times length( or side times side) . 15 times 15 is 225
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3 years ago
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The Augello family is driving from Columbus to St. Louis at a constant rate of 65 miles per hour. The distance between the two c
Anestetic [448]

Answer:

y = -65x + 420

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

y = -65x + 420

7 0
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