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3 years ago

Identify the base in this statement: 16% of 98 is 15.68

Mathematics

1 answer:

Darya [45]3 years ago

6 0

Ans: The base in the statement “16% of 98 is 15.68” is 98.

The three quantities in problems involving percent are Percent, Base, amount. ‘Percent’ has the percent (%) symbol. The base is the whole amount and the amount is the amount which comes after calculation the percent of the total amount.

So, in above problem, total amount i.e. Base is 98

Percent is 16%

And, the amount is 15.68.

<span>Moreover, the base in the statement comes after the word ‘of’ and in above statement, the digit after ‘of’ is 98.</span>

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A graph has a constant of proportionality of 35. Let y represent miles and x represent gallons.

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Answer:

Step-by-step explanation:35x

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3 years ago

A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2

bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

$V=l\times b\times h$

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

$V_1=kl\times kb\times kh$

$V_1=k^3(l\times b\times h)$

$V_1=k^3V$ ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

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3 years ago

Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is

castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

$1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles$

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

$Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr$

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

$1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s$

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

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2 years ago

Simplify. Your answer should only contain only positive exponents.

Xelga [282]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Can anyone explain these?

Paul [167]

The perimeter , width and length are all one dimensional so the preimeter of the resulting rectangle will be 2.5 * 36 = 90.

The area is 2 dimensional whereas the vase and height are one dimensional so the area will be increased by a factor of 5^2 ( or 25)
New rea = 36*25 = 900

solids are 3 dimensional so the ratio of thereir volumes is 5^3 : 3^3
= 125:27

to answer the last 2 use the formula Volume = pi r^2 h where r = radius and h = height of a cylinder

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3 years ago