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lyudmila [28]
3 years ago
10

1.The Student Council is planning a dance. The cost to throw the dance will be $100 for decorations and

Mathematics
2 answers:
Kamila [148]3 years ago
3 0

Answer:

1a)  C = 600 + 5n

1b)  R = 6n

Step-by-step explanation:

Ugo [173]3 years ago
3 0

Answer:

1.

    a) $600+5n = C

    b) 6n = R

Step-by-step explanation:

For the cost to throw the event, we have to add $100+$500, the decorations and the DJ and then we have to add the variable for people times 5 since it is 5 per person. $100+500 = $600 and 5* n (the variable for people in the question)

We are adding the two terms so the final equation will be equal to:

600+5n

for b), we have to use the variable n for tickets times the constant 6 since it costs 6 dollars per person to enter, and that will be equal to the revenue the student council earns or R.

6*n = 6n

Now we have:

6n=R

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The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.
Salsk061 [2.6K]
The picture in the attached figure

we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units

base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units 

the answer is
<span>the length of side vy is (2y+3)-----> 19.4 units</span>

3 0
3 years ago
The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the s
melisa1 [442]

Answer:

$60

Step-by-step explanation:

Let's say we need t $2 bills and v $5 bills.

We need 9 more $2 bills than $5 bills, so:

t = 9 + v

We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:

5v + 45 = 2t

Plug v + 9 in for t in 5v = 2t + 18:

5v = 2t + 18

5v = 2 * (9 + v) + 18

5v = 18 + 2v + 18

3v = 36

v = 12

We have 12 $5 bills, so that total cost is 12 * 5 = $60.

<em>~ an aesthetics lover</em>

5 0
3 years ago
Write the ratio of the area of a circle with radius r to the circumference of the same circle
Goshia [24]

Answer:

\frac{r}{2\pi r} =\frac{1}{2\pi }

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using \pi d or 2\pi r.

We write r: \pi d  or r:2\pi r.

We can also write in fraction form:

\frac{r}{\pi d} or \frac{r}{2\pi r} =\frac{1}{2\pi }


6 0
3 years ago
How much would $200 invested at 4% interest compounded continuously be worth after 8 years? round your answer to the nearest cen
Arlecino [84]

Answer:

424--------------------------------------------------------

                                                                                 

7 0
3 years ago
Find the whole quantity if 5 percent of it is 500​
liq [111]

Answer:

10,000

Step-by-step explanation:

500/0.05= 10,000

You take the amount you are given divided by the decimal form of the percentage you are given to find the answer.  It's a reverse from the way you find 5% of 10,000.

0.05=5%

Check your work: 10,000*5%= 500

5 0
3 years ago
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