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murzikaleks [220]
3 years ago
11

Kevin's car can go 315 miles on one tank of gas he used just under 40% of a full tank of gas to get to a sporting event travelin

g at an average speed of 60 miles an hour about how long did it take him to get there
Mathematics
2 answers:
vichka [17]3 years ago
6 0

40% of 315 miles is 315 x 0.40 = 126 miles.

This means he drove 126 miles to get to the event.

He drove at 60 miles per hour, so divide the miles by the speed:

126 miles / 60 miles per hour = 2.1 hours ( 2 hours and 6 minutes)

V125BC [204]3 years ago
4 0

Answer:

2.1 hours

Step-by-step explanation:

There is a direct proportionality relationship between the distance covered and the gas consumed. As such as the distance covered increases, so does the gas consumed.

If one tank will be used up in 315 miles, then 40% of the gas is consumed in

= 40% × 315 miles

= 126 miles

Distance is the product of speed and time.

If 126 miles is covered at a speed of 60 miles per hour,

Time taken = 126/60 = 2.1 hours

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Each cheerleader needs to raise 38.14 more

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Step-by-step explanation:

First allocate the power of three to every number

-5^{3}  * z^{3} = -125 * z^{3}

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An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
If two measurements are very close to each other, then they are ____..
erik [133]

The <em>correct answer</em> is:


B) precise


Explanation:


Precision can be broken down into two pieces:

<em>Repeatability </em>- The variation observed when the same person measures the same thing repeatedly with the same device.

<em>Reproducibility</em>: The variation observed when different people measure the same thing using the same device.


If two measurements are very close to each other, this gives repeatability. If the measurements were made by different people, this gives reproducibility.


<em>Accuracy</em>, however, describes the difference between the measurement and the thing's actual value. This would not involve getting the same result repeatedly; it would be getting the <em>correct</em> value.

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