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PIT_PIT [208]
3 years ago
8

41 coins, consisting of nickels and quarters, have a total value of $4.65. How many coins of each kind are there?

Mathematics
2 answers:
slavikrds [6]3 years ago
8 0

Answer:

4

Step-by-step explanation:

Sergeu [11.5K]3 years ago
3 0

Answer: 28 nickels and 13 quarters

Step-by-step explanation:

Let the number of nickels represented by x and the number of quarters represented by y.

Then according to the question, we have the following equations :

x+y=41....................(1)\\\\0.05x+0.25y=4.65.................(2)

Divide 0.05 on both sides  of equation (2), we get

x+5y=93........................(3)

Subtract equation (1) from equation (3) , we get

4y=52\\\\\Rightarrow\ y=13

From (1), x=28

Therefore, there are 28 nickels and 13 quarters.

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A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout show to gen
irakobra [83]

Answer:

3,833 for $28

2167 for $40

Step-by-step explanation:

Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.

Now,   $ 28X will be the revenue generated due to the $28 tickets

And,   $40Y will be the revenue generated due to the 40$ tickets.

Now, Total revenue generated should be $194400.

Thus ,   28X + 40Y  = 194400  -(1).

Also,

Total number of seats in theater is 6000.

So, X + Y = 6000.  -(2)

X = 6000 - Y.

Put in equation 1

We get ,    168,000 - 28Y + 40Y = 194,400

                   12Y = 26,000

                      Y = 2,166.66

Since , Y is of 40 $ so minimum tickets sold should be 2167.

X = 3,833.

4 0
3 years ago
[PICTURE ATTACHED] i could do this. but im too lazy too :’)
Nostrana [21]
-9 duh

It says the first week look at the numbers and then the top row with numbers. the only one that matches up is -9
5 0
3 years ago
Need Help! 10 points!
larisa86 [58]

The answer is 1680. To get this you do 8*7*6*5 because there are 8 options for the first character, and then you can repeat that for the second one with 7, 6, and 5

6 0
3 years ago
The sales of digital cameras (in millions of units) in year t is given by the function
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8 0
3 years ago
Read 2 more answers
Given: AB || CD
jarptica [38.1K]
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1    3-8     5

Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3)   (I used point B here)
        5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span>     5      5                                   5

Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
                                                                                                         5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span>        5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span>     5</span>
3 0
2 years ago
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