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2 years ago

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The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8of the items barbecued

are veggie burgers, and 1/3
of the items barbecued are corn cobs, what fraction of barbecued items are mushroom caps

1 answer:

Inessa05 [86]2 years ago

4 0

Answer:

7/24

Step-by-step explanation:

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Shawna found coins worth $4.32. One-fourth of the found coins are pennies and one-sixth are quarters. The number of nickels foun

Sunny_sXe [5.5K]

Answer:

8 quarters

12 nickels

12 pennies

16 dimes

Step-by-step explanation:

Let the number of coins = x

One-fourth of the found coins are pennies ⇒ 0.25 x

one-sixth are quarters ⇒ (1/6) x

The number of nickels found is 1.5 times the number of quarters⇒ 1.5*(1/6)x

Let ⇒ There no dimes.

Penny = 1 cent , quarter = 25 cents , nickel = 5 cents

$4.32 = 432 cents

So,

0.25x + (1/6) x * 25 + 1.5*(1/6)x * 5 = 432

Solve for x

(17/3) x = 432

x = 432*3/17 = 76.24

The number of coins must be integer number so, we should assume there are some of coins are dimes

Let the number of coins that is dimes = y

The number of total coins = x

So, 0.25 x + (1/6) x + 1.5 * (1/6) x + y = x

∴ y = x - (0.25 x + (1/6) x + 1.5 * (1/6) x) = (1/3) x ⇒ (1)

And the total coins worth $4.32 = 432 cents

0.25x + (1/6) x * 25 + 1.5*(1/6)x * 5 + 10 y = 432

By substitution with y from (1)

∴ 0.25x + (1/6) x * 25 + 1.5*(1/6)x * 5 + 10 * (1/3) x = 432

Solve for x, combine the terms contain x

∴ (0.25 + (1/6)*25 + 1.5*(1/6)*5 + 10 * (1/3)) x = 432

∴ 9 x = 432

∴ x = 432/9 = 48 coins

So, The number of quarters = 1/6 x = 8 quarters

The number of nickels = 1.5 number of quarters = 1.5*4 = 12 nickels

The number of pennies = 1/4 x = 12 pennies

The number of dimes = 1/3 x = 16 dimes

5 0

2 years ago

1. Which situation does NOT represent a functional relationship?

Alex

Answer:

1. D
2. C

Step-by-step explanation:

1. .....................................................................................................

A. This is a functional relationship as the number of workers depend on the number of job sites.

y = 5x

B. This is a functional relationship as the amount of money is dependent on the number of withdrawals

y = 2500 - 200x

C. This is a functional relationship as the number of vitamins depend on the number of monkeys

y = 3x

D. This is NOT a functional relationship as the output is a fixed value. The performance and scoring may repeat.

2. .....................................................................................................

<h3>Given</h3>

A = 62x -100
B = 2x - 3

<h3>To find </h3>

A/B

<h3>Solution</h3>

A/B =
(62x - 100)/(2x - 3) =
(31*2x - 31*3 - 7)/(2x - 3) =
(31(2x - 3) -7)/(2x - 3) =
31 - 7/(2x - 3)

Correct option is C.

7 0

2 years ago

Jennifer has 12 nickels and dimes. The value of her coins is $1

ELEN [110]

Answer:

One Dollar and 80 cents.

Step-by-step explanation:

12 x 5 is 60. The amount of nickles multiplied by the value of one nickel which is 5 cents. Then you take the value of a dime and multiply it by the amount of dimes, 12. You get 120. Add 60 to 120 and you get 180. One Dollar is 100 cents, add 80 to 100 and you get one Dollar and 80 cents.

3 0

2 years ago

A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on

Ksivusya [100]

Answer: zero

Step-by-step explanation:

Since, in the military clock 24 is the greatest number which has been made up of the first two digits on the clock.

So, there is no number greater than 24 which has been made up of the first two digits on the clock.

The total number made up of the first two digits on the clock.=24

Therefore, the probability that the number made up of the first two digits on the clock is greater than 24 = $\frac{\text{number greater than 24}}{\text{total numbers }}=\frac{0}{24}=0$

Hence, probability that the number made up of the first two digits on the clock is greater than 24 is zero.

7 0

2 years ago

Jeremy has a deck of cards numbered 1-12. He picks one card and then replaces it. Then he picks another card. What is the probab

LiRa [457]

The answer is 8.3 percent

5 0

2 years ago