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2 years ago

If 9 feet 2 inches of baseboard cost $15 how much would 75 feet cost?

Mathematics

2 answers:

Nataly [62]2 years ago

7 0

Answer:

$122.72 (Aprox)

Step-by-step explanation:

1 ft = 12 inches

2 inches = 2/12 = 0.166667 ft

then:

9ft 2 in = 9.166667 ft

Proportions:

9.1666667 ft ⇒ $15

75 ft ⇒ $A

A = 75ft * $15 / 9.1666667ft

A = $122.72 (Aprox.)

Nata [24]2 years ago

4 0

Answer: 120 (Rounded) or 122.7 (Non-Rounded)

Step-by-step explanation:

To start off, let's convert the 9 feet 2 inches and 75 feet into equivalent numbers. 9 feet 2 inches is 110 inches (Since 9 times 12 is 108, and add the 2 and you get 110) , and 75 feet is 900 inches. (75 times 12, since 12 inches are in a foot). If 110 is $15, and 900 is an unknown, we can take a look at the two in this way:

15/110=?/900

To find our answer, let's start by dividing 900 by 110; this equals about 8.18

So now we can take the 15 and multiply by 8.18.

Now this makes our fractions equivalent and gives us our answer of 122.7

Now, if 8.18 is rounded, consider your answer 120

(I can't give a definite answer other than 122.7 or 120 since this isn't multiple choice so I can't tell to round or not.)

Hope this helps!

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The height of a ball thrown vertically upward from a rooftop is modelled by h(t)= -4.8t^2 + 19.9t +55.3 where h (t) is the balls

nikitadnepr [17]

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

<h3>How to determine the maximum height of the ball</h3>

Herein we have a quadratic equation that models the height of a ball in time and the maximum height represents the vertex of the parabola, hence we must use the quadratic formula for the following expression:

- 4.8 · t² + 19.9 · t + (55.3 - h) = 0

The height of the ball is a maximum when the discriminant is equal to zero:

19.9² - 4 · (- 4.8) · (55.3 - h) = 0

396.01 + 19.2 · (55.3 - h) = 0

19.2 · (55.3 - h) = -396.01

55.3 - h = -20.626

h = 55.3 + 20.626

h = 75.926 m

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

To learn more on quadratic equations: brainly.com/question/17177510

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2 years ago

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.

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2 years ago

One tank is filling at a rate of 4/5 gallon per 1/2 minute. A second tank is filling at a rate of 7/8 gallon per 1/2 minute. Whi

telo118 [61]

Answer:

The second tank.

Step-by-step explanation:

Since both filling up at the same rate, all you would have to do is multiply the gallons.

4/5 multiplying top and bottom by 8 is 32/40

7/8 multiplying top and bottom by 5 is 35/40

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3 years ago

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Lainey bought a set of 20 makers for $6 what is the cost of 1 marker?

loris [4]

Answer:

0.30

Step-by-step explanation:

$6 Total

20 markers

6/20=0.30

0.3 per maker.

Cost of 1 marker is $0.30

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3 years ago

A deer can run for 2 hours at the speed of 45 mph how far can It run in that time

Virty [35]

Answer:

90 mph

Step-by-step explanation:

if it can go 45 mph, in 2 hrs, it should go 90

45*2=90

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2 years ago

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If 9 feet 2 inches of baseboard cost $15 how much would 75 feet cost￼?

If 9 feet 2 inches of baseboard cost $15 how much would 75 feet cost?