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2 years ago

Paul needs to find 310% of 72. Which expression should he use?

Mathematics

2 answers:

hichkok12 [17]2 years ago

7 0

Answer:

Step-by-step explanation:

To find a certain percentage of a number, we need to get the decimal equivalent of the percentage and then multiply this with the number.

For our problem given, we need to multiply 72 with the decimal equivalent of 310%.

How do we convert percentage to decimal?

We divide by 100. So we have:

310% = 310/100 = 3.1

Now, we multiply:

3.1 * 72

dedylja [7]2 years ago

5 0

Answer:

He should use (310) (72)

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What is log base 5(4*7 )+log base 5 of 2 written as a single log?

nataly862011 [7]

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The explanation is show below:

1. You have the following logarithm expresssion:

<span>log5(4*7 )+log5(2)
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2x+8x+16=7

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Three numbers form a geometric progression. If the second term is increased by 2, the progression will become arithmetic and if,

Evgesh-ka [11]

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now, the differences between the terms must be the same:

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and now, when we increase the third term by 9,so we have:

$(a_1*r^2 + 9)/(a_1*r + 2) = (a_1*r + 2)/a_1\\(a_1^2*r^2 + 9*a_1)/(a_1*r + 2) = a_1*r + 2\\a_1^2*r^2 + 9*a_1 = (a_1*r + 2)^2 = a_1^2*r^2 + 4*a_1*r + 4\\4*a_1*r - 9*a_1 + 4 = 0\\9*a - 4 = 4*a_1*r\\r = (9*a_1 - 4)/(4*a_1)$

Now we use that identity in the first equation :

$a_1*(9*a_1 - 4)^2/(4×a_1)^2 - 2*a_1*(9*a_1 - 4)/(4*a_1) + a_1 - 4 = 0\\(81*a_1^2 - 72*a_1 + 16)/(16*a_1) - (9*a_1 - 4)/2 + a_1 - 4 = 0\\81*a_1^2 - 72*a_1 + 16 - 8*a_1*(9*a_1 - 4) + 16*a_1^2 - 64*a_1 = 0\\25a_1^2 - 104a_1 + 16 = 0$