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kolbaska11 [484]
3 years ago
15

jacob’s graduation party costs $22.50 for decorations, plus an additional $5.50 for each attendee. At most, how many attendees c

an there be if Jacob budgets a total of $50 for his graduation party? Write an equation, solve, and justify your steps. Show your work.
Mathematics
2 answers:
eimsori [14]3 years ago
5 0

Answer:

28.00 and yes he is still in his budget

Step-by-step explanation:

22.50

5.50

............

28.00

Elanso [62]3 years ago
5 0

Answer:

Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.

Step-by-step explanation:

To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.

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Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

6 0
1 year ago
Need help asap!!!!!!!!!!
yawa3891 [41]

Answer:

x=4

Step-by-step explanation:

The axis of symmetry is always x= the x-coordinate of the vertex

EX:

Vertex: (9,8)

Axis of Symmetry: x=9

4 0
2 years ago
F represents the fee (in dollars) for climbing d meters.
Grace [21]

Answer:

$12

Step-by-step explanation:

when d = 0,  F = 110

when d = 100, F = 110 + (0.12 x 100) = 122

when d = 200, F = 110 + (0.12 x 200) = 134

etc.

Therefore, increase in price for every 100 meters climbed = 134 - 122 = 122 - 110 = 12

3 0
3 years ago
Suppose thirty-two students signed up for classes during an orientation session. If
Elis [28]

Answer:

36

Step-by-step explanation:

add the total that signed up for chemistry with the total that signed up for english which would be 20+16=36

4 0
3 years ago
V=2.5(6.4−t)
Alja [10]

Answer:

6.4 minutes ( or 6 minutes and 24 seconds)


Step-by-step explanation:

Filling up the jug means the empty space is 0, hence V = 0.

<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>

V=2.5(6.4-t)\\0=2.5(6.4-t)\\0=16-2.5t\\2.5t=16\\t=\frac{16}{2.5}\\t=6.4


Hence it will take 6.4 minutes to fill up the jugs.

<u>Note:</u> 0.4 minutes in seconds is  0.4*60=24 seconds

6 0
3 years ago
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