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choli [55]
3 years ago
10

Ricardo Gutierrez has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins, consisit

ing of pennies, dimes, and quarters. The number of pennies is equal to the number of dimes, and the total value is $4.87. How many of each denomination of coin does he have?
Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
Let x be the number of pennies which is also equal to the number of dimes. By this representation, the number of quarters is equal 46 - 2x. The total amount is $4.87 or 487 cents. The equation that best represent the given is,
                                  x + 10x + 25(46 - 2x) = 487
The value of x from the equation is 17. Therefore, there are 17 of both pennies and dimes and 12 quarters. 
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A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6
deff fn [24]

Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

D = 324\cdot e^{-0.05t}

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

D = 324\cdot e^{-0.05t}

    =324\times e^{-0.05\times 9}\\\\=206.59

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

6 0
3 years ago
Y Varies directly as X and inversely as Z. Y=100 when X=5 and Z=10 Find Y when X=3 and Z=60
Law Incorporation [45]

Answer:

y = 10

Step-by-step explanation:

based on the question if y  varries directly as x

mathematically

y ∝ x

also, y varries inversly as z can be mathematically expressed as

y ∝ 1/z

combining the two expressions

y ∝ x ∝ 1/z

i. e

y = kx/z..... where k is the constant of proportionality

make  k the subject of formulae

yz = kx

Divide both sides by x

k =yz/x

when y=100 , x = 5 z =10

k = 100 × 10/5

k = 200

to find y when x = 3 and z = 60

<h3>from the equation connecting x,y,z</h3>

k =yz/x

200 =60y/3

cross multiply

60y = 200 × 3

60y = 600

divide both sides by 60

y = 10

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3 years ago
The number 4 on a dice was thrown 7 times in the first 50 throws.
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Answer:

4 would be rolled 60 times when the dice was thrown 3000 times.

Step-by-step explanation:

3000/50 is how many times 4 would be rolled

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