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Alinara [238K]
3 years ago
11

Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answ

er should be written as a mixed number.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

Sum = 15 8/15, Difference = 1 2/15

Step-by-step explanation:

8⅓, 71/5

A. Sum

8⅓ + 7 1/5

Convert to improper fraction

25/3 + 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) + (36×3)] / 15

[125 + 108] / 15

233 / 15

Convert to mixed fraction

15 8/15

B. Difference

8⅓ – 7 1/5

Convert to improper fraction

25/3 – 36/5

Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:

[(25×5) – (36×3)] / 15

[125 – 108] / 15

17 / 15

Convert to mixed fraction

1 2/15

SUMMARY:

Sum = 15 8/15, Difference = 1 2/15

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Natali [406]

Answer:

S.I= 640

Step-by-step explanation:

I=prt

where p= $8,000

and r= 4%

and t= 2 years

$8,000×4%×2

8,000×4/100×2

80×4×2

=640

Therefore The S.I = 640.

6 0
3 years ago
each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72
lbvjy [14]
To calculate a volume of a rectangle prism, a cabinet we only need to multiply the dimensions it has, those are height, width, deep:
v = (24)(72)(18)
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7 0
3 years ago
A bag holds 11 beads 7 of the beads are red the rest are white two beads are taken at random work out the probability that one o
Anvisha [2.4K]

Answer:

28/55

Step-by-step explanation:

total no of beads are 11

red beads are 7

and white beads are 4

no of ways to take 2 beads from 11 beads are 11c2

that is( 11*10)/2=55

no of ways to take 1 red bead from 7 is 7c1 that is 7

no of ways to take 1 white bead from 4 is 4c1 is that is 4

required probability is( 7*4)/55=28/55

this question has already been answered on someone else's account so know this answer is 100% correct

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3 0
3 years ago
181 is 22% of what number?
baherus [9]

Answer:

Step-by-step explanation:822.73

6 0
3 years ago
Read 2 more answers
Veda solves the following system of linear equations by eliminations. What is the vale of x in the solution of the system of equ
kupik [55]

Answer:

x = -1, y = 1

Step-by-step explanation:

6 + 4x - 2y = 0 (1)

-3 - 7y = 10x (2)

From (1)

6 + 4x - 2y = 0 (1)

4x - 2y = -6 (3)

From (2)

-3 - 7y = 10x (2)

10x + 7y = -3 (4)

4x - 2y = -6 (3)

10x + 7y = -3 (4)

Using elimination method

Multiply (3) by 10 and (4) by 4 to eliminate x

40x - 20y = -60

40x + 28y = -12

28y - (-20y) = -12 - (-60)

28y + 20y = -12 + 60

48y = 48

y = 48/48

y = 1

Substitute y = 1 into (3)

4x - 2y = -6 (3)

4x - 2(1) = -6

4x - 2 = -6

4x = -6 + 2

4x = -4

x = -4/4

x = -1

x = -1, y = 1

The value of x in the equation is -1

4 0
3 years ago
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