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mafiozo [28]
3 years ago
6

Emmett's retirement party will cost $42 if he invites 7 guests. If there are 16 guests, how much will Emmett's retirement party

cost? Assume the relationship is directly proportional.
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0

Answer:

$96.

Step-by-step explanation:

We know these things:

The party costs $42 if there are 7 guests.

Put that into equation:

7x = 42

x = 6

Therefore:

16(6) = answer

16 x 6 = 96.

It will cost $96 to have Emmett's the retirement party.

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Natali [406]

Answer:

225\pi

Step-by-step explanation:

15×15=225=r^2

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Which would be the better buy 5 gallon bucket of paint for $97.45 or 1 gallon bucket of paint for $21.95
Leviafan [203]

Answer:

5 gallons for 97.45

Step-by-step explanation:

5x21.95=109.75 which is more

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3 years ago
A total of $7000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $
Ivahew [28]

We invested $7000 invested in two accounts, we don't know how much exactly is in each account, therefore we will assign variables to these amounts. The amount invested in the "8%" account is "x", while the other one is "y". The sum of these two numbers must be equal to $7000, therefore:

x+y=7000

The sum of interest of each account should be equal to 580, therefore:

0.08\cdot x+0.12\cdot y=580

We need to solve the system in order to determine the values.

\begin{gathered} \begin{cases}x+y=7000 \\ 0.08x+0.12y=580\end{cases} \\ \begin{cases}-0.12x-0.12y=-840 \\ 0.08x+0.12y=580\end{cases} \\ -0.04x=-260 \\ x=\frac{-260}{-0.04}=6500 \\  \end{gathered}

Now we can replace the value of "x" in the first equation to determine the value of "y".

\begin{gathered} 6500+y=7000 \\ y=7000-6500 \\ y=500 \end{gathered}

The values are 6500 in the 8% account and 500 in the 12% account.

4 0
1 year ago
Solve the inequality.<br><br> (look at the picture)
OverLord2011 [107]
C is the correct answer hope that helps
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54 - a = 12 i believe
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Read 2 more answers
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