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2 years ago

Find the total due for the following items plus a 15% tip

Mathematics

2 answers:

EleoNora [17]2 years ago

8 0

Answer:

the total due including tip is 55.20

xz_007 [3.2K]2 years ago

6 0

The tip is 55.20 i hope this helps

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A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c

I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

5 0

3 years ago

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3>Solution:</h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

Substituting given values we get,

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

3 years ago

URGENT PLEASE HELP x/240 = 82/100 what is X?

Zielflug [23.3K]

x/240 = 82/100

240 : 100 = 2.4

so 240 is divided with 2,4 giving 100, this will work with 82 too. So, 82 × 2.4 = 196,8

Answer : x = 196,8

prove :

196,8/240 = 82/100 = 41/50

see the picture

7 0

3 years ago

Read 2 more answers

Write your own two equations that would have a solution of (3, 6).

andrey2020 [161]

Answer:

y = 2x

y = 3x - 3

Step-by-step explanation:

Hi,

y = 2x

6 = 2(3)

6 = 6

That's a solution

y = 3x - 3

6 = 3(3) - 3

6 = 9 - 3

6 = 6

That's a solution

Hope this helps :)

8 0

3 years ago

A mixture of paint calls for 1/3 of a cup of red paint and 2/3 cups of yellow paint. How many cups of red paint would be needed

garik1379 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago