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3 years ago

Fill in the missing numbers

Mathematics

1 answer:

Orlov [11]3 years ago

6 0

A) 3, 360
B) 36, 720
C) 10, 4410
D) 3, 1200
E) 2, 800

I think. Should verify second answer for c

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On a rectangular hyperbola, if one point is (2, 3) and y varies inversely to x, find y when x is 6.

pickupchik [31]

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

$y\ \alpha\ \frac{1}{x}$

When we remove the proportionality sign we get,

$y=k(\frac{1}{x})\\y=\frac{k}{x} \\$

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

$y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\$

now the equation becomes,

$y=\frac{6}{x}$

now we need to find y when x is 6 so just replace x with 6

$y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1$

so we get the value of y is 1

6 0

3 years ago

Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=

My name is Ann [436]

Answer:

The volume = $5x^{5}+4x^{4}+x^{3}$

Step-by-step explanation:

* The rule of the volume of the rectangular prism:

- the volume of any prism = base area × height

∵ The base of the rectangular prism is rectangle

∵ Area any rectangle = Length × Width = l × w

∴ The volume of the rectangular prism = l × w × h

* In the problem:

∵ l = x , w = x² , h = 5x² + 4x + 1

∴ The volume = (x)(x²)(5x² + 4x + 1)

* We will simplify it

- Multiply x by x² and then multiply the answer by the bracket

∵ x × x² = x³

∴ x³(5x² + 4x + 1)

∵ x³ × 5x² = 5x^5

∵ x³ × 4x = 4x^4

∵ x³ × 1 = x³

∴ The volume = $5x^{5}+4x^{4}+x^{3}$

5 0

4 years ago

Suppose there is a pile of quarters, dimes, and pennies with a total value of $1.08

WINSTONCH [101]

Answer:

if 1 quarter = $ 0.25

1 dime = $ 0.10

1 penny = $ 0.01

so to make the total of $1.08 and its is also required to calculate the number of each coins present without being able to make change for a dollar

therefore we say;

1 Quarter + 8 dimes + 3 penny

: ( 1 × 0.25 ) + ( 8 × 0.10 ) + ( 3 × 0.01 )

: 0.25 + 0.80 + 0.03 = $ 1.08

Now if you have a 4 Quarters, you have change for $1.

If you have 5 dimes, you have change for 2 Quarters.

If you have nickel; one of those can combine with 2 dimes to have a change for a Quarter.

If you have 5 pennies, you have enough change for 1 nickel

Therefore

(4-1)×0.25 + (5-1)×0.1 + (0×0.05) + (5-1)×0.01 = x

(3 × 0.25) + ( 4 × 0.1) + 0 + ( 4 × 0.01) = x

x = 0.75 + 0.4 + 0.04

x = $ 1.19

PROVED

6 0

3 years ago

What is the equation of the line that passes through the points (3,1) and (2,-4)

Ainat [17]

Answer:

The answer is in the media.Good luck!

4 0

3 years ago

Express 78 billion in scientific notation

ryzh [129]

Answer:

$7.8 * 10^{10}$ is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 78 billion$

$a^{'} = 78000000000$

$a^{'} = 78000000000.0$

In standard form

$a = 7.8000000000$

$a = 7.8$

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

$7.8 * 10^{10}$ is scientific notation of 78 billion

6 0

4 years ago

Fill in the missing numbers​

Fill in the missing numbers