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Alex_Xolod [135]
3 years ago
13

4 1/6 divided by 1 1/3

Mathematics
1 answer:
Zolol [24]3 years ago
3 0

Answer:

\frac{25}{8}

Step-by-step explanation:

A fraction is a part of a whole .

A proper fraction is a fraction whose numerator is less than denominator .

For example \frac{2}{3}\,,\,\frac{3}{4}

An improper fraction is a fraction whose numerator is greater than denominator .

For example \frac{5}{4}\,,\,\frac{8}{7}

A mixed fraction is made up of whole number and a proper fraction .

Given : 4\frac{1}{6}\,,1\frac{1}{3}

Solution :

4\frac{1}{6}=\frac{4\times 6+1}{6}=\frac{25}{6}\\1\frac{1}{3}=\frac{3\times 1+1}{3}=\frac{4}{3}

We need to divide 4\frac{1}{6} by 1\frac{1}{3} .

4\frac{1}{6}\div 1\frac{1}{3}=\frac{25}{6}\div\frac{4}{3} \\\Rightarrow 4\frac{1}{6}\div 1\frac{1}{3}= \frac{25}{6}\times \frac{3}{4}=\frac{25}{8}

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3 years ago
What is the solution to the system of equations? 3x + 10y = -47 5x- 7y = 40<br>Please and thank u
anastassius [24]

Answer:

x=1, y=-5

Step-by-step explanation:

Given equations are:

3x+10y=-47\ Eqn\ 1\\and\\5x-7y=40\ Eqn\ 2

In order to solve the equation

Multiplying Eqn 1 by 5 and eqn 2 by 3 and subtracting them

So,

Eqn 1 becomes

15x+50y=-235

Eqn 2 becomes

15x-21y=120

Subtracting 2 from a

15x+50y - (15x-21y) = -235-120

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y = -355/71

y =-5

Putting y= -5 in eqn 1

3x+10(-5) = -47

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3x = -47+50

3x = 3

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x = 1

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x=1, y=-5

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You invest a total of $5800 in two investments earning 3.5% and 5.5% simple interest. Your goal is to have a total annual intere
attashe74 [19]
The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
                I  = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest. 

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x. 

The linear equation that would represent the given scenario is,
        x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,
 
       0.035x + 319 - 0.055x = 283

Combining like terms,
           -0.02x = -36
Dividing by -0.02,   
               x = 1800
             $5800 - x = $5800 - $1800 = y
                   y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.   
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3 years ago
last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount
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We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100.  Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.

a/60=5/100

Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.

100 * a = 60 * 5

If we simplify by multiplying, then we get the equation:

100a = 300

When we divide the variable by the coefficient, we get the equation

a=3

Therefore, sea world sold 3 discount tickets.

5 0
3 years ago
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