The ages of two sisters are 11 years and 14 years.In how many years time will the product of their age be 304?

Answers

Answer 1

Answer: x - the number of years in which the product of their ages will be 304
In x years one sister will be 11+x years old, and the other sister will be 14+x years old.

$(11+x)(14+x)=304 \n154+11x+14x+x^2=304 \nx^2+25x+154=304 \nx^2+25x-150=0 \nx^2-5x+30x-150=0 \nx(x-5)+30(x-5)=0 \n(x+30)(x-5)=0 \nx+30=0 \ \lor \ x-5=0 \nx=-30 \ \lor \ x=5$

The number of years must be a positive number, so x=5.

The product of their ages will be 304 in 5 years.

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What is .333 written in its simplest fraction form?

Answers

The simplest fraction form of 0.333 will be 333/1000 .

Given,

Decimal form: 0.333

Now,

To convert decimal form into fraction form,

When the decimals are to be removed from the decimal form we divide the number by 10 , 100 , 1000 depending on the place of decimal .

Here the decimal is placed after 3 places from right side .

Thus the division will be done of 1000 .

So,

0.333 = 333/1000

333/1000 is the simplest form as it can not be reduced further .

Thus the simplest form in fraction is 333/ 1000 .

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.333 in simplest fraction form is 333/1000.

${\boxed{(333)/(1000)}$

Which two quantities does a budget balance?Select the best answer from the choices provided.
income and liabilities
assets and debts
income and spending
spending and debts

Answers

The two quantities that does a budget balance are INCOME AND SPENDING.

Income and spending is also known as revenue and expenditure.
A budget balance happens when the spending is equal to the income.
A budget surplus occurs when the income is more than the spending.
A budget deficit occurs when the spending is more than the income.

How do I move 7.03% into a decimal

Answers

its already in decimal formation.

The prefix kilo in the metric system means ____ units

Answers

i believe its 1000 units

Answer:

1000 units

Step-by-step explanation:

Find the fractional equivalent of 21%

Answers

21/100 (this is simplest form)

Kelly and 23 friends go roller skating.They pay a total of 186 dollars. About how much does it cost for one person to skate?

Answers

You need to figure out the unit rate so you need to:
1. divide 186 by 23= 8.08695....
2. You only need to figure out the answer to the hundredth of a percent so you would round and get $8.09
3. The answer is $8.09

To do this first you must find the total number of people 23+1=24 so there are 24 people they paid 186 total divide this by 24 and you get 7.75 so each skate cost $7.75

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