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jonny [76]
3 years ago
13

18 buses to 66 cars write the ratio in simplest form

Mathematics
2 answers:
Digiron [165]3 years ago
7 0
3 buses to 11 cars is the ratio
Anettt [7]3 years ago
4 0

Answer: 3/11

Step-by-step explanation: We can write a ratio using the word <em>to</em>, using a colon, or using a fraction bar. Here, since we want our ratio in simplest form, I would use a fraction bar.

We know that there are 18 buses and there are 66 cars.

So our ratio is simply 18/66.

Notice however that 18/66 is not in simplest form so we need to divide the numerator and the denominator by the greatest common factor of 18 and 66 which is 6 to get the equivalent fraction 3/11.

So the ratio of buses to cars is 3/11

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Answer:

x = 75 and y = -72

Step-by-step explanation:

It is given that,

1/5 x + 1/8 y = 1   ------(1)

1/2 x − 1/3 y = 1  -------(2)

<u>To find the solutions of the system of equations</u>

Step 1: eq(1) * 5 ⇒

x + 5/8y = 5  ----(3)

Step 2:  eq(2) * 2 ⇒

x - 2/3y = 2  -----(4)

Step 3: eq(3) - eq(4) ⇒

x + 5/8y = 5  ----(3)

<u>x - 2/3y = 2  -</u>----(4)

0 +(5/8 - 2/3)y = 3

 -1/24 y = 3

y = -24*3 = -72

Step 4: Substitute the value of y in eq(1)

1/5 x + 1/8 y = 1   ------(1)

1/5 x + 1/8 (-72) = 1   ------(1)

1/5 x  - 24 = 1

1/5 x = 25

x = 5*25 = 75

Therefor x = 75 and y = -72

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Since we know the slope of the line and a point that passes through it, we can use the <u>point-slope form formula</u> to determine the equation of the line.

Point slope form formula:

\text{ y - (y-coordinate of point) = slope(x - x-coordinate of point)}

We are given the following:

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When we substitute the values into the formula, we get;

<u />\implies y - (4) = -3(x - 2)}<u />

\implies \boxed{y - 4 = -3(x - 2) \ \ (\text{Option B})}

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