Holly fills a bucket with of a pound of confetti in of an hour. How much confetti could she fill the bucket with in 1 hour?

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of

frosja888 [35]

The speed of the plane will be equal to 240 Mph.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.

The speed of the plane was 170 mph faster than the speed of the car.

The speed of the plane will be calculated as:-

Let the speed of the car will be x mph so the speed of the plane will be

(x + 170)

Now time for the plane:-

Tp = Dp / Sp

Tp = 1200 / (x+170)

Now time for the car:-

Tc = Dc / Sc

Tc = 350 / x

It is given that time taken by both the plane and the car are equal:-

Tp = Tc

1200 / x+170 = 350 / x

1200x = 350x + 59500

850x = 59500

x = 59500 / 850

x = 70mph

The speed of the plane will be calculated By:-

Sp = x + 170 = 70 + 170 = 240 Mph

Therefore the speed of the plane will be equal to 240 Mph.

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4 0

1 year ago

Jared has two dogs spot and rover. Spot weights 75.25 pounds.rover weights 48.8 pounds more than spot how much does river weight

vichka [17]

Answer:

River weight is 124.05 pounds

Step-by-step explanation:

We are given

Spot weights 75.25 pounds

so,

Spot =75.25 pounds

rover weights 48.8 pounds more than spot

so, we get

Rover = Spot +48.8

now, we can plug value

and we get

Rover = 75.25 +48.8

Rover = 124.05 pounds

So,

River weight is 124.05 pounds

4 0

2 years ago

What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?

Cloud [144]

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

$2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}$

A line placed in slope-intercept form is represented by the formula $y = mx + b$ . The $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope of the line, substitute 2 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct: