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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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What is the surface area of the sphere?

Fantom [35]

Answer:

<em>The surface area of the sphere is 314 mi².</em>

Step-by-step explanation:

According to the given diagram, the diameter of the sphere is 10 mi.

If the radius is $r$ , then diameter $=2r$

So....

$2r=10\\ \\ r=\frac{10}{2}= 5$

<u>Formula for the surface area of a sphere</u>: $A_{S}= 4\pi r^2$

Plugging the value of $r$ into this formula, we will get...

$A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314$

So, the surface area of the sphere is 314 mi².

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3 years ago

Match each set of values to the correct median

Kobotan [32]

Answer:

Please, where are the values ?

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3 years ago

A website had 826, 140 hits last month what is the value of the 8 in 826,140

Angelina_Jolie [31]

800,000 or eight hundred thousand.

<h3>Further explanation</h3>

<u>Problem:</u> The given number is 826,140.

<u>Question:</u> What is the value of the digit 8?

<u>The Process:</u>

This is a problem with place value.

Let us set the place values from 826,140 consecutively as follows.

In the thousands period: 8 hundred thousands, 2 ten thousands, 6 one thousands.
In the units period: 1 hundreds 4 tens 0 ones.

Let us say in word form: eight hundred twenty-six thousand six hundred forty.

Hence, the value of the 8 in the numbers 826,140 is 800,000 or eight hundred thousand.

- - - - - - -

<u>Extra:</u>

What is the value of the digit 6 in the numbers 826,140? The answer is 6,000 or six thousand.

- - - - - - -

<u>Notes:</u>

Recall that the digits in large numbers are in groups of three places, i.e.,

hundreds,
tens, and
ones (or units).

The groups are called periods, i.e.,

millions period
thousands period
ones or units period

Commas are typically used to separate the periods.

<h3>Learn more</h3>

Some similar problems brainly.com/question/106975 and brainly.com/question/547255
What 3 digits are in the units period of 4,083,817 brainly.com/question/558692

Keywords: a website had 826,140 hits last month, what is the value of the 8, digit, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value

3 0

3 years ago

Read 2 more answers

Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to $0.15 for

Karo-lina-s [1.5K]

Answer: T = 120 + .15*x

Let T be the total price

Let 'I' be the initial price

Let 'x' be the total number of vertical meters

So, T = I + .15*x

Putting T = 645 and x = 3500 in above equation

we get, I = 120

So, the required equation is

T = 120 + .15*x

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3 years ago

Hey can you please help me posted picture of question

Rudik [331]

Answer:
f⁻¹(x) = $\frac{7x-3}{4}$

Explanation:
To get the inverse of a function, we have to follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
4- replace y with f⁻¹(x)

Applying this to the given as follows:
f(x) = $\frac{4x-3}{7}$

Step 1: replace f(x) with y:
y = $\frac{4x-3}{7}$

Step 2: swap the x and y variables:
x = $\frac{4y-3}{7}$

Step 3: solve for y:
7x = 4y - 3
4y = 7x - 3
y = $\frac{7x-3}{4}$

Step 4: replace y with f⁻¹(x):
f⁻¹(x) = $\frac{7x-3}{4}$

Hope this helps :)

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3 years ago