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2 years ago

A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 3 seconds?

Mathematics

1 answer:

kati45 [8]2 years ago

3 0

Step-by-step explanation:

65 km / h = 65,000 m / 3600 s

what do we need to multiply 3600 with to get 3 ?

3600 × f = 3

f = 3/3600 = 1/1200

now, we need to multiply 65,000 by the same factor to get how many meters the car is driving in these 3 seconds :

65000 × 1/1200 = 65000/1200 = 54.16666666...

so, rounded, it travels 54 meters in 3 seconds.

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Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5

Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

$x = y + 1$ --- Equation 1

From the question; we have that

$\frac{4x}{7} = \frac{y}{2} + 5$ --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

$14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5$

$2 * 4x = 7 * y + 70$

$8x = 7y + 70$ ---- Equation 3

Substitute y + 1 for x in equation 2

$8(y + 1) = 7y + 70$

Open bracket

$8y + 8 = 7y + 70$

Collect like terms

$8y - 7y = 70 - 8$

$y = 62$

$x = y + 1$

So,

$x = 62 + 1$

$x = 63$

Hence, the consecutive numbers are 62 and 63

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2 years ago

Read 2 more answers

Mrs Fernandez has a total of 156 red and blue roses. After selling the same number of red and blue roses, she had 1/3 of the num

hodyreva [135]

The number of blue roses will be 72. Then the number of red roses that she have at first is 84.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Mrs Fernandez has a total of 156 red and blue roses.

After selling the same number of red and blue roses.

She had 1/3 of the number of red roses and 2/9 of the number of blue roses left.

Let x be the number of red rose and y be the number of blue roses.

Then the equation will be

x + y = 156 ...1

2x/3 = 7y/9

6x = 7y ...2

By solving the equations 1 and 2, we have

x = 84 and y = 72

Then the number of red roses that she have at first is 84.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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2 years ago