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rodikova [14]
1 year ago
7

7/9 ÷ 3/9 = ????????

Mathematics
2 answers:
Gennadij [26K]1 year ago
6 0

7/9 ÷ 3/9 =

= (7•9)/( 3•9)

= 63/27 = 7/3

Answer is 7/3

DENIUS [597]1 year ago
3 0

Answer:

2 1/3

Step-by-step explanation:

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7/9 ÷ 3/9 = 7/9 × 9/3

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 9/9 × 3 = 63/27

The Greatest Common Factor (GCF) of 63 and 27 is 9. The result can be simplified by dividing both the numerator and denominator by 9.

63/27 = 63 ÷ 9/27 ÷ 9 = 7/3

7 ÷ 3 = 2R1, therefore:

7/3 = 2 1/3

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Answer:

In the step-by-step explanation!

Step-by-step explanation:

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\frac{1 }{\alpha } *\frac{1}{\beta} = \frac{1*1}{\alpha*\beta} =\frac{1}{\alpha \beta}

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\frac{1}{\alpha}-\frac{1}{\beta}\\ \frac{\beta}{\alpha \beta } -\frac{\alpha }{\alpha \beta } \\\frac{\beta -\alpha }{\alpha \beta }

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6 0
3 years ago
PLZZZZZ help A car's gas tank that is 40% full contains 12 gallons of gas. Show the math you used to find the maximum capacity o
Romashka-Z-Leto [24]
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3 0
3 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
Type the integer that makes the following addition sentence true: -5 + _ = -19
brilliants [131]

Answer:

-14

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
1/7 divided by 20/21
Sedbober [7]

Answer: 3/20

Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20

7 0
3 years ago
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