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2 years ago

A boy spends 4/15 on cloth, 1/5 on food and 5/12 on drink. what fraction is left for other things

Mathematics

2 answers:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

7/60

Step-by-step explanation:

CLOTHES: 4/15

FOOD: 1/5

DRINK: 5/12

Common denominator between fraction of money spend on clothes and food = 15.

Food = 1/5 * 3, on top of both the numerator and denominator equals 3/15. 3/15 = 1/5. Divide by 3 and you'll be right back at 1/5.

3/15 + 4/15 = 7/15 = fraction spent on food and clothes.

Now onto drinks. We know that drinks is 5/12. We also know that for the other clothes and food, it's 7/15. Think critically. The common denominator between 5/12 and 7/15 is 60, since 12 * 5 = 60, and 15 * 4 = 60.

5/12 * 5 = 25/60

7/15 * 4 = 28/60

25/60 + 28/60 = 53/60.

Remainder, 60-53 = 7.

7/60 [CAN'T BE SIMPLIFIED FURTHER]

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mamaluj [8]2 years ago

5 0

Answer:

4/15+1/5+5/12=53/60 so

7/60

Hope This Helps!!!

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a store advertises that customers can take 25% off the original price and ten take an extra 10% off. is this the same as a 35% o

maksim [4K]

Answer:

No, they are not the same.

Step-by-step explanation:

Lets say the price is 100 dollars. Lets start with the 25 and then 10 percent off. Since its 25% off we need to multiple the 100 dollar price by .75.

100*.75=75

Now that we have the 75 dollar price, we need to take off the 10%. We need to multiply the current price of 75 by .9

75*.9=67.5

The price after these 2 discounts is $67.50

Now lets do the 35% off right away. Since is 35% off we need to multiple our right of 100 by .65.

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The price after the 35% off is $65

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3 years ago

27^x −1 = 9^3x−7 what is X

tigry1 [53]

x is $\frac{11}{3}$

Step-by-step explanation:

Let us revise some rules of exponents

$(a^{n})(a^{n})=a^{m+n}$
$\frac{a^{m}}{a^{n}}=a^{m-n}$
$(a^{m})^{n}=a^{mn}$
$a^{m}=a^{n}$ , then m = n

∵ $27^{x-1}=9^{3x-7}$

- Factorize 27 and 9

∵ 27 = 3 × 3 × 3

∴ 27 = 3³

∵ 9 = 3 × 3

∴ 9 = 3²

Substitute them in the equation

∴ $(3^{3})^{x-1}=(3^{2})^{3x-7}$

- Use the third rule to simplify each side

∴ $(3)^{3x-3}=(3)^{6x-14}$

- Use the fourth rule

∵ The bases of the two sides are equal

∴ Their exponents are equal

∴ 3x - 3 = 6x - 14

- Subtract 6x from both sides

∴ -3x - 3 = -14

- Add 3 to both sides

∴ -3x = -11

Divide both sides by -3

∴ x = $\frac{11}{3}$

x is $\frac{11}{3}$

Learn more:

You can learn more about equations in brainly.com/question/4934417

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3 years ago

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Answer:

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Step-by-step explanation:

1) One solution is to write, as our exponent:

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3) Hence, including an exponent the numbers 6, 2 whose value is eight.

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Therefore our expression is true

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