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2 years ago

11

A cat is running away from a dog at a speed of 3 m/s. Originally, the distance between them was 48 meters. What should be the sp

eed of the dog to catch up with the cat in 1 minute?

1 answer:

maksim [4K]2 years ago

3 0

Answer:

3.8

Step-by-step explanation:

3*60=180

180+48=228

228/60=3.8

You might be interested in

5x + 6y when x = 16, y = -9

atroni [7]

Answer:

26

Step-by-step explanation:

5x+6y

substitute x=16 and y=-9:

5*16+6*(-9)

=80-54

=26

5 0

3 years ago

A study show that there are 16 vehicles for every 10 households how many vehicles are there for 107 million households

Lisa [10]

$\bf \begin{array}{ccll}
vehicles&households\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
16&10\\
v&107E6
\end{array}\implies \cfrac{16}{v}=\cfrac{10}{17E6}\implies \cfrac{17E6\cdot 16}{10}=v$

just to clarify the engineering notation, E6 is just 1 and 6 zeros, or a million, thus, 107,000,000 is just 107E6.

6 0

2 years ago

Evaluate the expression 3x² + 2x - 4 for x =-2.

marin [14]

Answer:

4

Step-by-step explanation:

3x² + 2x - 4

3(-2)² + 2(-2) - 4

3(4) - 4 - 4

12 - 4 - 4

12 - 8

= 4

4 0

3 years ago

Naily [24]

Answer:

$y+4 = -\frac{1}{3} (x-1)$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ to find the slope. Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(-5)-(-4)}{(4)-(1)} \\m = \frac{-5+4}{4-1} \\m = \frac{-1}{3}$

So, the slope is $-\frac{1}{3}$ .

2) Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ into the formula.

Since $m$ represents the slope, substitute $-\frac{1}{3}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.

$y-(-4) = -\frac{1}{3} (x-(1))\\y+4 = -\frac{1}{3} (x-1)$

5 0

2 years ago

Read 2 more answers

The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. Together they

NARA [144]

Answer:

Step-by-step explanation:

The recycling and reuse industry employs approximately 1,025,000 more workers than the waste management industry. This means that

Number of workers employed by The recycling and reuse industry = the number of workers employed by the waste management industry + 1,025,000

Let y = the number of workers employed by the waste management industry. Therefore

x = y + 1,025,000 - - - - - - 1

Since total = 1,275,000

x + y = 1,275,000 - - - - - - -2

Substituting equation 1 into equation 2, it becomes

y + 1,025,000 + y = 1,275,000

2y = 1,275,000 - 1,025,000

y = 250000/2 = 125000

x = y + 1,025,000 = 125000 + 1,025,000 = 1150000

The recycling and reuse industry employs 1150000 workers

The waste management industry employs 125000 workers

7 0

3 years ago