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2 years ago

Operations

Mathematics

1 answer:

Charra [1.4K]2 years ago

5 0

Answer:

More Than

Step-by-step explanation:

According to the given statement:

This year the club earned $20 more than twice what it earned last year. Let x represent the amount raised last year.

The two words in this problem which tell us about the operation are "More Than"

This year club earned $20 more than than twice it earned last year. This means, to find the earnings of this year, double the earnings of previous year and add 20 to them.

Since, x represents the earnings of last year, we can represent the earnings of this year as:

Twice of x + 20

2x + 20

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2 years ago

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Step-by-step explanation:

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3 years ago

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

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3 years ago

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so it is clear that:

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Answer: 60

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2 years ago