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2 years ago

How do you convert a terminating decimal into a fraction?

1 answer:

4 0

Write down the decimal divided by 1, like this: decimal. Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.). Lastly Simplify (or reduce) the fraction.

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the student to teacher ratio is 15:3. if there are 90 teachers at the school, how many students are there

mixas84 [53]

$15x+3x=90\\
18x=90\\
x=5\\\\
15x=15\cdot5=\boxed{75}$

8 0

3 years ago

Read 2 more answers

The length of a swimming pool is 3 feet longer than it’s width. The swimming pool is surrounded by a deck that is 2 feet wide an

Firlakuza [10]

Answer:

The Length of swimming pool is 8.35 feet

The width of swimming pool is 5.35 feet

Step-by-step explanation:

Given as :

The length of swimming pool is 3 feet longer that its width

Let The width of swimming pool = w feet

So, The Length of swimming pool = L = (w + 3) feet

Now, The swimming pool is surrounded by deck of 2 feet wide

The width of deck = w' = w + 2 + 2 = (w + 4) feet

The area of deck = 116 feet²

The length of deck = L' = L + 2 + 2 = (L + 4) feet

So, L' = (w + 3 + 4) feet

I.e L' = (w + 7) feet

∵ The area of deck = 116 feet²

So , L' × w' = 116 feet²

(w + 7)× (w + 4) = 116

Or, w² + 4 w + 7 w + 28 = 116

Or, w² + 11 w - 88 = 0

Solving the quadratic equation as

ax² + bx + c = 0

So, w = $\dfrac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, w = $\dfrac{-11\pm \sqrt{11^{2}-4\times 1\times (-88)}}{2\times 1}$

Or, w = $\dfrac{-11\pm \sqrt{473}}{2}$

or, w = $\dfrac{-11\pm 21.7}{2}$

or, w = 5.35 , -16.35

The width of swimming pool = w = 5.35 feet

The Length of swimming pool = L = (5.35 + 3) feet = 8.35 feet

Hence, The Length of swimming pool is 8.35 feet

And The width of swimming pool is 5.35 feet

Answer

3 0

3 years ago

evaluate the expression 9(a 2b) c for a = –3, b = –2, and c = 1. i kept getting the answer of 10 but it's not one of my choices

den301095 [7]

What grade are u? I'm just asking cause the formulas are going with grade I could help if u want me too

7 0

3 years ago

5 ideas how to reduce food waste zero hunger.

aliya0001 [1]

Answer:

Plan meals ahead. In the home, one of the best ways to reduce food waste is to plan meals ahead. ...

Rotate time-sensitive foods in the fridge and cupboards. ...

Freeze surplus garden vegetables. ...

Process or dehydrate surplus or damaged fruit, produce, and meats. ...

Compost kitchen waste.

Step-by-step explanation:

6 0

3 years ago

Use the graph below to answer the question that follows:

seraphim [82]

Let's start with our parent function:

f(x) = sin x

One cycle on this graph occurs between 0 and 2π. Therefore, our b-value is one.

There is no vertical shift up. The sinusoidal axis is along y = 0.

The wave is not inverted, it starts at the origin and rises on both the y and x axis. Thus there is no negative value before the function.

The amplitude of the wave is 3. A normal sine wave rises to a maximum of 1, but this is multiplied by 3.

f(x) = 3 sin x

There are an infinite amount of equations that could be used to represent this graph, but this is perhaps the most intuitive.

6 0

2 years ago

How do you convert a terminating decimal into a fraction?​

How do you convert a terminating decimal into a fraction?