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1 year ago

10

Translate this phrase into an algebraic expression 23 more than twice a number use the variable n to represent the unknown numbe

r

1 answer:

Anna71 [15]1 year ago

5 0

In general, 23 more than a number is written as

$x+23$

In our case, x is 'twice a number'; thus,

$x=2*n=2n$

Finally, the whole expression is

$2n+23$ <h2>The answer is 2n+23</h2>

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How do you write 17/5 as an mixed number

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Answer:

3 2/5

Step-by-step explanation:

17/5= 3 2/5

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3 years ago

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first <u>202</u> chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

<em>As, the farmer had twice as many chickens as ducks on his farm.</em>

So, $x=2y$ ......(1)

<em>As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.</em>

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

<em>By cross multiplying we get:</em>

$4y-332=y-29$

<em>Adding both sides 332 we get:</em>

$4y=y+303$

<em>Subtracting both sides by </em> $y$ <em> we get:</em>

$3y=303$

<em>Dividing both sides by 3 we get:</em>

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

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3 years ago

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3 years ago

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves

Alexxandr [17]

<h3>G I V E N : </h3>

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

<h3>S O L U T I O N : </h3>

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

<u>Remaining amount left with him is $450</u>

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3 years ago

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