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liq [111]
3 years ago
13

Multiply. Express your answer in simplest form. 11 1/9 × 4 2/7

Mathematics
2 answers:
solmaris [256]3 years ago
5 0

Answer:

47 13/21

Step-by-step explanation:

Given

11 1/9 x 4 2/7

First change the fractions to improper fractions.

We have ,

100/9 x 30/7

Multiply through

3000/63

Divide the numerator and denominator by 3

1000/21

47 13/21

Kipish [7]3 years ago
4 0

Answer:

47 13/21

Step-by-step explanation:

You might be interested in
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
What is the slope of the line given by the equation y=-7X? O A 7 OB. 7 O c. -7 O D. 7​
Anna007 [38]

Answer:

C. -7

Step-by-step explanation:

See the picture for steps :)

6 0
2 years ago
Proving Vertical Angles Are Congruent
PSYCHO15rus [73]

Answer:

Statements:                                                 Reasons:

1) ∠2 and ∠4 are vertical angles               given

2) limes <em>m </em>and <em>n </em>intersect at <em>P                    </em>definition of vertical angles

3) ∠3 and ∠4 are linear pair                       definition of linear pair

4) ∠2 and ∠3 are linear pair                       definition of linear pair

5) m∠3 + m∠4 =180                                     angle addition postulate

6) m∠2 + m∠3 =180                                     angle addition postulate

7) m∠2 + m∠3 = m∠3 + m∠4                   substitution property

8) m∠2 = m∠4                                             subtraction property

9) ∠2 ≅ ∠4                                                 definition of congruent(≅) angles

4 0
3 years ago
Please help me with questions 21 and 22
valentina_108 [34]
I’m not sure abt 21 but 22 is the second one and the 4th one. So 2,4.
3 0
3 years ago
The perimeter of a rectangular park is 300 feet. The length of the park is 50 feet longer than the width.
bixtya [17]

Answer:

85 feet

Step-by-step explanation:

P=2L+2W where L is the length and W is the width. If the length is 50 feet longer than the width, we can write the expression L=50+W. Substituting into P=2L+2W we get P=2(50+W)+2W=100+2W+2W=100+4W. Since P=300, we can say 300=100+4W. Subtracting 100 from each side we get 200=4W. Dividing each side by 4 gives 50=W. Substituting this into L=50+W gives L=50+35=85. The length is 85 feet.

3 0
3 years ago
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