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insens350 [35]
2 years ago
8

A school library spends $80 a month on magazines. The average price for magazines bought in January was 70 cents more than the a

verage price in December. Because of the price increase, the school library was forced to subscribe to 7 fewer magazines. How many magazines did the school library subscribe to in December?
Mathematics
1 answer:
gregori [183]2 years ago
4 0

Answer:

  32 magazines

Step-by-step explanation:

If x is the number of subscriptions in December, then the number in January is x-7.

The relationship between the average price of magazines in the two months is ...

  80/(x-7) -80/(x) = 0.70 . . . . . . . . .Jan price - Dec price = 0.70

  80(x) -80(x -7) = 0.70(x)(x-7) . . . . multiply by the denominators

  0.7x^2 -4.9x +560 = 0 . . . . . . . . put in standard form

  x^2 -7x +800 = 0 . . . . . . . . . . . . . divide by 0.7

  (x -32)(x +25) = 0 . . . . . . . . . . . . . factor

The product is zero when one of the factors is zero. x=32 or -25. The sensible solution for this problem is x=32.

The school library subscribed to 32 magazines in December.

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If container a holds 8 gallons of water and container b holds 12% more than container a, how many gallons of water does containe
frosja888 [35]
Answer: 8.96 gallons of water

To answer this question you need to multiply the container b: container a ratio with the container a volume.
Since container b has more volume than container a, the ratio should be >1. In this case, the ratio is 100%+12%= 112%
Then the volume of container b is= 112% x 8 gallons= 8.96 gallons
3 0
2 years ago
Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She i
Elan Coil [88]

To Find :

Net worth of Rachel.

Solution :

Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).

Net \ Worth=( 195000+160000+2325+9300+1437+1200)-(875+4800)\\\\Net \ Worth=\$\ 363587

Therefore, net worth of Rachel is $ 363587.

Hence, this is the required solution.

4 0
1 year ago
Select the functions that have identical graphs.
shtirl [24]

Answer:

c. 1 and 3

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot each equation.

Please see the attached image below, to find more information about the graph s

The equations are:

1) y = sin (3x + π/6)

2) y = cos (3x - π/6)

3) y = cos (3x - π/3)

Looking at the graphs, we can see that the identical ones

are equations one and three

Correct option:

c. 1 and 3

5 0
2 years ago
Read 2 more answers
A vehicle travels 250 feet every three seconds find the value of the ratio the unit rate and the constant of proportionality how
PSYCHO15rus [73]

to find the unit rate/constant of proportionality , you'd have to dive 250 by three. and they are related because they are the same thing.

8 0
1 year ago
You are offered the following gamble based on coin flips. If the first heads occurs on the first flip, you get $2. If the first
Andrews [41]

Answer:

infinity

Step-by-step explanation:

a) the expected value of this gamble in dollars is Infinity

i.e

expected value = \frac{1}{2}*2 +  \frac{1}{4}*4 +  \frac{1}{8}*8 + \frac{1}{16}*16 + ... + \to  \infty (infinty) \\

= 1+1+1+1+1 + ... = \infty

b)

When offered, most people say they would pay only less than $10 to play this game.

What are two reasons why people are willing to pay so much less than the expected value?

These people are ready to pay less than $10 to play this game due to the fact that people usually overlook the unlikely event when making decisions. In a bid to that logic, they gamble in order to double their amount of money and the probability that heads may never come is ignored by these people and they may hope for a likely event i.e a head every time they play the game.

Also, the expected value is so humongous that if and only if that the first head appears after a long series of tails which is  very less certain to occur, because mostly people would think that on an average the length of a series of tails ( or heads) is somewhat near 10 or so, but definitely infinity.

3 0
2 years ago
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