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3 years ago

How to break down 4/5 + 13/15 = 1 2/3

Mathematics

2 answers:

nalin [4]3 years ago

6 0

Answer:

Step-by-step explanation:

The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3

To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15

Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes

12/15

Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes

13/15

The equation becomes

(12 + 13)/15 = 5/3

25/15 = 5/3

Simplifying 25/15 to its lowest terms, it becomes 5/3 so

5/3 = 5/3

Kamila [148]3 years ago

3 0

Add the fractions and convert the mixed number into an improper fraction.

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Write the equation in slope intercept form. Then, match the equation with the correct graph.

Natasha_Volkova [10]

Answer:

Graph A: y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2. This is represented by Graph A.

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2 years ago

50b 50=11b 95 what is b?

ohaa [14]

50b 50=11b 95 collect the like terms
50b-11b=95-50
39b=45 divide both sides by 39
b=1.2

7 0

2 years ago

Simplify: −(−3)2(5)2(7)3 152 A) -343 B) -127 C) -75 D) 126

Lilit [14]

Answer:

If I read your problem write: 126

Step-by-step explanation:

if I interpret this as

- (-3)* 2 * (5) * 2 * (7) * 3 divided by 5 * 2

we can get 126

because:

- (-3)* 2 * (5) * 2 * (7) * 3 divided by 5 * 2

= 6 * 5 * 2 *7 * 3 / (5*2)

= 60*7 * 3/ (5*2)

= 420 * 3 / 10

= 1260/10

= 126

7 0

2 years ago

The managers of 21 supermarkets counted the number of cars in their parking lots on the same day. The results are shown in the l

mixer [17]

The IQR is 42.5

Step-by-step explanation:

Interquartile range is the difference of third and first quartile.

First of all we have to find the median for that purpose the data has to be arranged in ascending order. The data is already in ascending order.

As the number of values are odd

n=21

The median will be: $(\frac{n+1}{2}) th\ term$

Putting n=21

$(\frac{21+1}{2})th\ term\\=(\frac{22}{2})th\ term\\= 11th\ term$

The 11th term is 133

So median = 133

Now the data is divided into two halves

One is: 98, 100, 101, 102, 108, 109, 111,118, 129, 132

2nd is: 135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q1 will be the median of first half and Q3 will be the median of 2nd half.

As now the halves contain even number of values, the medians will be the average of middle two values

For First Half:

98, 100, 101, 102, 108, 109, 111,118, 129, 132

$Q_1 = \frac{108+109}{2}\\Q_1 = \frac{217}{2}\\Q_1 = 108.5$

For Second Half:

135, 135, 145, 146, 146, 156, 170 176, 180, 180

$Q_2 = \frac{146+156}{2}\\Q_2 = \frac{302}{2}\\Q_2 = 151$

Now

Interquartile Range:

$IQR = Q_3-Q_1\\= 151-108.5\\=42.5$

Hence,

The IQR is 42.5

Keywords: Median, IQR

Learn more about median at:

#LearnwithBrianly

7 0

2 years ago

How do I do the square root of 8 squared?

Yanka [14]

First, find out what 8^2 is.
(Answer = 64)

Then, find the square root of 64.
(Answer = 8)

8 0

2 years ago