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3 years ago

Round the following number to the nearest thousandth. 455.2187

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

455.219

first of all we need to know our place values.

4= hundreds

5= tens

5= units/ones

2= tenths

1= hundredths

8= thousandths

7= ten thousandths.

To round a number to the nearest thousandth, look at the next place value to the right (the ten thousandths). If it's 4, or less, just remove all the digits to the right. If it is 5 or greater, add 1 to the digit in the thousandths place and then remove all the digits to the right.

Now to your question; the ten thousandths digit is greater than 5 (7). So we would add 1 to the digit in the thousandths place ( which is 8) then remove all digits to the right.

So our result end up in :

455.219

Please mark as brainliest.

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The area of a parking lot is 805 square meters. A car requires 5 meters and a bus requires 32 square meters of space. There can

zlopas [31]

Answer:

80 cars will maximize revenue

Step-by-step explanation:

The revenue per square meter for parked cars is ...

$2.00/5 = $0.40

The revenue per square meter for buses is ...

$6.00/32 = $0.1875

Thus the available space should be used to park the maximum number of cars.

80 cars should be in the lot to maximize income.

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3 years ago

There are some Nichols dimes and quarters in a large piggy bank for every two nickels there a sweetheart forever to Diane’s ther

grigory [225]

Answer:

There are 80 nickels, 120 dimes and 300 quarters in the piggy bank.

All coins in the piggy bank worth $91.

Step-by-step explanation:

Please consider the complete question:

There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes there are 5 quarters. There are 500 coins total. How many nickels, dimes, and quarters are in the piggy bank? Explain your reasoning. How much are the coins in the piggy bank worth?

Let n, d, q represent number of nickles, dimes and quarters respectively.

For every 2 nickels there are 3 dimes. We can represent this information in an equation as:

$\frac{2}{n}=\frac{3}{d}...(1)$ or

$n=\frac{2d}{3}...(1)$

For every 2 dimes there are 5 quarters. We can represent this information in an equation as:

$\frac{2}{d}=\frac{5}{q}...(2)$ or

$q=\frac{5d}{2}...(2)$

There are 500 coins total. We can represent this information in an equation as:

$n+d+q=500...(3)$

We will use substitution method to solve our given system.

Upon substituting equation (1) and equation (2) in equation (3), we will get:

$\frac{2d}{3}+d+\frac{5d}{2}=500$

Multiply the equation by 6:

$\frac{2d}{3}*6+d*6+\frac{5d}{2}*6=500*6$

$2d*2+6d+5d*3=3000$

$4d+6d+15d=3000$

$25d=3000$

$\frac{25d}{25}=\frac{3000}{25}$

$d=120$

Therefore, there are 120 dimes in the piggy bank.

Upon substituting $d=120$ in equation (1), we will get:

$n=\frac{2(120)}{3}$

$n=2(40)$

$n=80$

Therefore, there are 80 nickels in the piggy bank.

Upon substituting $d=120$ in equation (2), we will get:

$q=\frac{5d}{2}$

$q=\frac{5(120)}{2}$

$q=5(60)$

$q=300$

Therefore, there are 300 quarters in the piggy bank.

Now, we need to find the value of all coins.

We know 1 quarter is worth $0.25, so 300 quarters will be worth $\$0.25\times 300=\$75$ .

We know 1 dime is worth $0.10, so 120 dimes will be worth $\$0.10\times 120=\$12$ .

We know 1 nickel is worth $0.05, so 80 nickels will be worth $\$0.05\times 80=\$4$ .

$\text{All coins worth}=\$75+\$12+\$4$

$\text{All coins worth}=\$91$

Therefore, all coins in the piggy bank worth $91.

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4 years ago

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frosja888 [35]

Answer:

There were 12 + 28 = 40 pieces of fruit in the basket.

Step-by-step explanation:

Suppose there were x oranges and y grapefruit.

Then we have

1 /3 x = 4

x = 4*3 = 12.

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y = 7*4 = 28.

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pishuonlain [190]

Answer:

Each Angle of Decagon = 144 degrees

Step-by-step explanation:

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Each Angle of Decagon = 1440/10

Each Angle of Decagon = 144 degrees

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