Help me please it will be greatly appreciated!

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

4 0

Answer:

5h + 3p

Step-by-step explanation:

1 hardback weighs 5 pounds, then

h hardbacks weigh 5 × h = 5h

1 paperback weighs 3 pounds, then

p paperbacks weigh 3 × p = 3p

total weight = 5h + 3p

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The first tern of an arithmetic sequence is -3 and the fifteenth term id 53. What is the common difference of the sequence?

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Kyra has a rock collection. When she puts her rocks into 2 equal plies, there are no rocks left over. When she puts her rocks in

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Step-by-step explanation:

According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.

$\frac{x}{4} = \alpha \\ \frac{x}{2} = 2 \alpha$

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The smallest number that fulfills this demand is 3*4=12.

Also any product of 12 with any natural number can be devided by 3, 4 and 2.

If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:

${3}^{ \alpha } \times 12 \: and \: {4}^{ \alpha } \times 12 \: \\ where \: \alpha \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers$