Mathematics, 23.07.2019 03:00 AmazingColor

Solve this math problem: a bag of coins contains nickels, dimes, and quarters. there are a total of 21 coins in the bag, and the total amount of money in the bag is $3.00. there is one more dime than there are nickels. how many dimes, nickels, and quarters are in the bag?

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Answer from: aliw03

Solve this math problem: a bag of coins contains nickels, dimes, and quarters. there are a total of 21 coins in the bag, and the total amount of money in the bag is $3.00. there is one more dime than there are nickels. how many dimes, nickels, and quarters are in the bag?

Answer from: hjlhdjfhjh

There are 6 nickels, 7 dimes and 8 quarters in the bag.

Step-by-step explanation: Given that the bag contains coins of nickels, dimes and quarters. There are total 21 coins in the bag and number of dimes is one more than the number of nickels.

Let 'x' be the number of nickels in the bag.

So, number of dimes will be (x+1) and number of quarters will be (21-x-x-1) i.e., (20-2x).

Since there are total $3.00 amount of money in the bag, so

$0.05x+0.10(x+1)+0.25(20-2x)=3\\\\\Rightarrow\dfrac{x}{20}+\dfrac{x+1}{10}+\dfrac{20-2x}{4}=3\\\\\Rightarrow \dfrac{x+2x+2+100-10x}{20}=3\\\\\Rightarrow -7x+102=60\\\\\Rightarrow 7x=42\\\\\Rightarrow x=6.$

Therefore, number of nickels = 6, number of dimes = 6+1 = 7 and number of quarters = 20-2×6 = 8.

Thus, there are 6 nickels, 7 dimes and 8 quarters in the bag.

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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