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4 years ago

One fifth of a number is subtracted from four fifth of the same number. If the result is 9, what is the number.

Mathematics

1 answer:

JulsSmile [24]4 years ago

8 0

Let x be the unknown number. One fifth of this number is x/5, one fourth of this number is x/4. So, we have

$\dfrac{x}{4}-\dfrac{x}{5} = \dfrac{5x-4x}{20} = \dfrac{x}{20}$

We know that this difference equals 9, so we have

$\dfrac{x}{20}=9$

Multiply both sides by 20 to get

$x=180$

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Answer:

Option 4: 0

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3 years ago

A recursive rule for an arithmetic sequence is a1=4;an=an−1−3 . What is the explicit rule for this sequence? Enter your answer i

Westkost [7]

Answer:

The explicit rule for the arithmetic sequence is given by:

$a_n = a_1+(n-1)d$ ......[1]

where,

$a_1$ is the first term

n is the number of terms and

d is the common difference for two consecutive terms.

As per the statement:

A recursive rule for an arithmetic sequence is:

$a_1 = 4$

$a_n = a_{n-1}-3$

The recursive formula for the arithmetic sequence is given by:

$a_n = a_{n-1}+d$

then;

On comparing we get;

d = -3

Substitute the given values in [1] we have;

$a_n = 4+(n-1)(-3)$

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3 years ago

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Reptile [31]

Answer:

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3 years ago

Read 2 more answers

Actor the expression 16x+8x+1 16x 28x +11-

Gwar [14]

<h3>Explanation:</h3>

$\large \purple {\sf { {16x}^{2} + 8x + 1}}$

$\large \pink {\sf { = {(4x)}^{2} + 2(4x)(1) + {(1)}^{2}}}$

$\large \orange {\sf { = {(4x + 1)}^{2} }}$

<h2>Answer:</h2>

$\large \green {\sf {{16x}^{2} + 8x + 1 = {(4x + 1)}^{2}}}$

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3 years ago

Please help me with these factoring problems. Please help me solve. I can't do these!!

aleksley [76]

Simple...

you have:

1.) -8x-16 --->>>

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2.)9d+15db --->

Factor out 3d -->

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Factor out -a -->

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Thus, your answer.

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3 years ago

One fifth of a number is subtracted from four fifth of the same number. If the result is 9, what is the number. ​

One fifth of a number is subtracted from four fifth of the same number. If the result is 9, what is the number.