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Ludmilka [50]
4 years ago
5

Sully, Emma, Diane, and Wayne are eating a large pizza. The cost of the pizza is $19.50. They decide to pay for the pizza depend

ing on what portion of the pizza each ate. Sully ate of the pizza, Emma ate 12.5% of the pizza, and Diane ate of the pizza. If Wayne ate all of the remaining pizza, how much should he pay?
Mathematics
2 answers:
olasank [31]4 years ago
6 0
I could totally answer this but there’s some missing numbers! upload again
Alborosie4 years ago
5 0

Answer:

The answer is 9.75

Step-by-step explanation:

<em>First, convert the fraction of the pizza that Sully and Diane ate to percents to simplify the calculation.  Next, subtract the percentages of the pizza that Sully, Emma, and Diane ate from 100% to find the percentage of the pizza that Wayne ate.  Finally, multiply the percentage of the pizza that Wayne ate with the cost of the pizza, $19.50, to know, how much he should pay. </em>

<em>Therefore, Wayne should pay $9.75. </em>

<em></em>

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The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall.
Mekhanik [1.2K]
<h3>4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8​-foot walls</h3>

<em><u>Solution:</u></em>

Given that,

The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall

<em><u>The formula for joint variation is: </u></em>

z = k \times x \times y

Where,

z is the amount of paint needed

x is the perimter of room

y is the height of room

<em><u>Room with a perimeter of 35 feet and 10 foot high walls requires 3.5 quarts of​ paint</u></em>

Therefore,

3.5 = k \times 35 \times 10\\\\ k = \frac{3.5}{350}\\\\k = 0.01

<em><u>find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8​-foot walls</u></em>

Substitute k = 0.01, x = 55 and y = 8 in joint variation formula

z = 0.01 \times 55 \times 8\\\\z = 4.4

Thus, 4.4 quarts of paint needed to cover the walls of a room with a perimeter of 55 feet and 8​-foot walls

7 0
3 years ago
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponentia
igomit [66]

Answer:

(B) Second Graph

Step-by-step explanation:

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8 0
3 years ago
117. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.
Sergio [31]

Answer:

The explicit function is:

S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )

where

z=(1+\frac{0.02}{12})

and we calculate S12:

S_{12} = $1211.06

Step-by-step explanation:

Expanding a few steps of the compound interest:

S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100

We can write:

(1+\frac{0.02}{12})=z

100=C for deposits

Then, expanding the previous equations would yield:

S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C

This is a geometric series form, which can be simplified to:

S_{n}=C(\frac{z^{n}-1}{z-1} )

plugin in the values for the 12 month gives:

S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613

6 0
3 years ago
What is the domain of the function graphed below?
DaniilM [7]

Answer:

(-2,4] and [7,α)

Step-by-step explanation:

the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..

8 0
3 years ago
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mezya [45]

Answer:

20.526%

Step-by-step explanation:

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5 0
4 years ago
Read 2 more answers
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