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SVETLANKA909090 [29]
3 years ago
5

(add. write your answer as a fraction, as a whole or as a mixed number)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

As decimal 20.5833333333

As fraction 20 \frac{7}{12}

mark me as brainliest if right :)

Step-by-step explanation:

Conversion a mixed number 10 2/

3

to a improper fraction: 10 2/3 = 10 2/

3

= 10 · 3 + 2/

3

= 30 + 2/

3

= 32/

3

To find new numerator:

a) Multiply the whole number 10 by the denominator 3. Whole number 10 equally 10 * 3/

3

= 30/

3

b) Add the answer from previous step 30 to the numerator 2. New numerator is 30 + 2 = 32

c) Write a previous answer (new numerator 32) over the denominator 3.

Ten and two thirds is thirty-two thirds

Conversion a mixed number 9 11/

12

to a improper fraction: 9 11/12 = 9 11/

12

= 9 · 12 + 11/

12

= 108 + 11/

12

= 119/

12

To find new numerator:

a) Multiply the whole number 9 by the denominator 12. Whole number 9 equally 9 * 12/

12

= 108/

12

b) Add the answer from previous step 108 to the numerator 11. New numerator is 108 + 11 = 119

c) Write a previous answer (new numerator 119) over the denominator 12.

Nine and eleven twelfths is one hundred nineteen twelfths

Add: 32/

3

+ 119/

12

= 32 · 4/

3 · 4

+ 119/

12

= 128/

12

+ 119/

12

= 128 + 119/

12

= 247/

12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 12) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 12 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - thirty-two thirds plus one hundred nineteen twelfths = two hundred forty-seven twelfths.

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Is 20/30 equivalent to 2/3​
kicyunya [14]

Answer:

Yes 20/30 is equivalent to 2/3

Step-by-step explanation:

Divide the fraction 20/30 by 10/10 to simply to 2/3

3 0
3 years ago
Find the slope of the line shown on the graph. Please help! :(
Anna [14]

Answer:

It's really easy just remember rise over run.

Step-by-step explanation:

so you rise 3 and run to the right 3

A great tip that helps me determine if it's positive or neagitve is if you go to the left then it's ALWAYS neagtive but if you go to the right then it's ALWAYS postive

7 0
3 years ago
Read 2 more answers
A) X - 12x + 32<br>b) x = 14x + 48<br>c) x - 3x + 2​
alex41 [277]

Answer:

a is -11x+3x

b is -48/13

c is -2(x-1)

Step-by-step explanation:

hope this helps!

4 0
3 years ago
Margo spends 0.25 of her paycheck on a new dress, One-eighthof her paycheck on shoes, and $24 on a birthday present. If she spen
Naily [24]

Answer:

96

Step-by-step explanation:

.25x + .125x + 24 = 60

.25x + .125x = .375x

.375x + 24 = 60

60 - 24 = 36

.375x = 36

36/ .375

x = 96

7 0
4 years ago
M23 is (3x + 4)º and mz5 is (2x + 11)
Tom [10]

9514 1404 393

Answer:

  • same-side interior
  • (3x +4) +(2x +11) = 180
  • 77°

Step-by-step explanation:

Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.

__

Because the angles are supplementary, their sum is 180°. So, the equation ...

  (3x +4)° +(2x +11)° = 180°

can be used to solve for x. Likewise, any of the possible simplifications of this can be use:

  (3x +4) +(2x +11) = 180 . . . . . divide by degrees

  5x +15 = 180 . . . . . . . . . . . collect terms

  5x = 165 . . . . . . . . . . . . . subtract 15

  x = 33 . . . . . . . . . . . . . . divide by 5

__

Once we know that x=33, then the measure of angle 5 is found from its expression:

  m∠5 = (2x +11)° = (2·33 +11)°

  m∠5 = 77°

6 0
3 years ago
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