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UNO [17]
3 years ago
15

How can complex fractions be used to solve problems involving ratios

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0
When you have ratios, and some unknowns, you can create complex fractions from them. Bring them to the same denominator, and solve for x.

Example - we have this proportion:
2-x
5-45
And we can change it into fraction:
\frac{2}{5}=\frac{x}{45}

\frac{2*9}{5*9}=\frac{x}{45}

\frac{18}{45}=\frac{x}{45}
18=x

In case of more complex fractions it may come in handy.
You might be interested in
What is 6,224 in scientific notation
meriva

Answer:

6.224  x 10^3 Hope this helped out :)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 .If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

then you end up getting  6.224  x 10^3

4 0
3 years ago
The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2. How does the amount of fabric needed for Robs costum
exis [7]

The amount of fabric needed for Jimmy's costume is not stated, we can only determine the amount needed for Rob's costume, which makes it impossible to compare the amounts needed for both of their costumes. If this omission was an error, then you can find the difference between these amounts if the amount needed for Jimmy's costume is stated explicitly.

Step-by-step explanation:

The number of yards of fabric needed for Robs costume is (7/8+1/2+1 3/4)÷2

Assuming 1 3/4 is a mixed fraction.

= (7/8 + 1/2 + 7/4) ÷ 2

= (7 + 4 + 2) ÷ (8 × 2)

= 13/16 yards

Suppose 2 yards of fabric is needed for Jimmy's costume, then comparing with Rob's yards, we see that Jimmy's costume requires (2 - 13/16 = 19/16) more yards than Rob's costume.

8 0
3 years ago
At the beginning of an experiment, the temperature of a solution was 48°C. During a 6-hour
ExtremeBDS [4]

9514 1404 393

Answer:

  • -2.2(6) +1.8(4) . . . temperature change
  • 42 °C

Step-by-step explanation:

At the end of the first 6 hours, the temperature change was ...

  (-2.2 K/h)(6 h) = -13.2 K

The change in the next 4 hours was ...

  (1.8 K/h)(4 h) = 7.2 K

Then the total change over the 10-hour period was ...

  (-2.2)(6) +(1.8)(4) . . . . . expression for temperature change

This evaluates to -13.2 +7.2 = -6.

__

The final temperature is the sum of the initial temperature and the temperature change:

  final temperature = 48 °C -6 °C = 42 °C

_____

<em>Additional comment</em>

When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).

8 0
3 years ago
Alyssa wants to buy a new car and is planning to take out a loan to pay for the car.
g100num [7]

Answer: the amount of interest that Alyssa will pay on her loan is $1320

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = $22000

R = 4.5%

T = 4 years

Therefore,

I = (22000 × 1.5 × 4)/ 100

I = 132000/100 = $1320

4 0
3 years ago
Simplify the problem given.
maks197457 [2]
Step Number 1. is to Simplify \frac{4}{8}  to  \frac{1}{2}

Step Number 2. <span>Simplify so you get </span>\frac{x}{4} +  \frac{5}{3}

Done! :)
4 0
3 years ago
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