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shtirl [24]
2 years ago
14

How many 6-digit even numbers between 640,000 and 645,000 can be formed using the digits given below? Use each digit only once.

Mathematics
1 answer:
jenyasd209 [6]2 years ago
4 0

The first two digits must be 6 and 4.

The third digit must be between 0 (inclusive) and 5 (exclusive), so there are 2 choices for it (0 or 2).

The remaining three digits have no additional restrictions. There are 3! = 6 ways to permute them.

Then there are 2•6 = 12 such numbers.

640 279

640 297

640 729

640 792

640 927

640 972

642 079

642 097

642 709

642 790

642 907

642 970

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Step-by-step explanation:

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Luigi uses 39 cups of flour for every 6 pizzas he makes.Complete the table using equivalent ratios. Pizzas
zlopas [31]

Answer:

Part 1) The number of cups of flour needed to make 4 pizzas is 26

Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2

Step-by-step explanation:

we know that

Luigi uses 39 cups of flour for every 6 pizzas he makes

Let

y ----> the number of cups of flour used

x ---> the number of pizzas he makes

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The relationship between the variables x, and y, represent a proportional variation

we have the ordered pair (6,39)

so

\frac{y}{x}=\frac{39}{6}

Part 1) Find out the number of cups of flour needed to make 4 pizzas

using a proportion

\frac{y}{4}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}

Solve for y

y=\frac{39}{6}(4)

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Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour

using a proportion

\frac{13}{x}\ \frac{cups\ of\ flour}{pizzas}=\frac{39}{6}\ \frac{cups\ of\ flour}{pizzas}

Solve for x

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Answer:

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