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Shkiper50 [21]
3 years ago
9

Find the value of 8/15×2/13 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same,

so the difficulty is the same excepting the ability to perform the calculation in your head. You may choose to use a calculator.
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0

Answer:

\frac{16}{195}

Step-by-step explanation:

To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that

\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}

Substituting a,b,c and d for 8,15,2 and 13 we obtain that

\frac{8}{15}* \frac{2}{13} =\frac{16}{195}

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what is the best approximation of the solution to the system to the nearest valus 2x-3y=-6 and x+2y=8
Trava [24]
Given:
2x - 3y = -6  ⇒ identified as 1st equation
x + 2y = 8    ⇒ identified as 2nd equation

Let us first get the value of x using the 2nd equation.
x + 2y = 8
x = 8 - 2y

Substitute x in the 1st equation with its value and find the value of y.
2x - 3y = -6
2(8-2y) - 3y = -6
16 - 4y -3y = -6
-4y - 3y = -6 -16
-7y = - 22
y = -22/-7
y = 22/7 simplified to 3 1/7

Substitute the value of y in the 2nd equation.
x = 8 - 2y
x = 8 - 2(22/7)
x = 8 - 44/7
x = (8 * 7/7) - 44/7
x = 56/7 - 44/7
x = (56-44)/7
x = 12/7 simplified to 1 5/7

To check:  x = 12/7 and y = 22/7  *we need to use the improper fractions.
2x - 3y = -6
2(12/7) - 3(22/7) = -6
24/7 - 66/7 = -6
(24-66)/7 = -6
-42/7 = -6
-6 = -6

x + 2y = 8
12/7 + 2(22/7) = 8
12/7 + 44/7 = 8
(12+44)/7 = 8
56/7 = 8
8 = 8

8 0
3 years ago
Find range ,median mode and mean of the following numbers -19,-11,-19,-18,-13,-19,-18,-11.0, 11,12
IrinaK [193]
Range= 31 because 12- -19 = 31 you subtract the lowest with the highest.

Mean= 8.3

Mode = -19 because you mostly see -19 there’s 3 -19 . :)))
8 0
2 years ago
A school library charges a fine of 5 cents on the first day a book is overdue, then doubles the amount owed each day until payme
PIT_PIT [208]
Jada's book was overdue by 2 more days than Juan's book

4 0
3 years ago
Read 2 more answers
Able, Ben and Cal each played a game able’s score was six times ben’s score, Cale score was a hird time of Able’s score write do
Deffense [45]

Answer:

6:1:2

Step-by-step explanation:

Let a = Able's score, b = Ben's score, and c = Cal's score.

Since

Able's score was 6 times Ben's score, that means a = 6b.

Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.

Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.

7 0
3 years ago
1.)Given the recursive definition LaTeX: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that LaTeX: a_1=1a 1 = 1, find LaTeX: a_
aksik [14]

Answer:

1) 1023

2) 8

Step-by-step explanation:

1)

Given:

a_{n+1}=2\cdot a_n + 1 and a_1 = 1

Then,  the next table can be computed (only the first terms are explicitely shown)

n      a_n

1       1

2      a_{2}=2\cdot 1 + 1 = 3

3      a_{3}=2\cdot 3 + 1 =7

4      15

5      31

6      63

7      127

8      255

9      511

10     1023

2)

Given

t_n=n^2-2n

Then,  the next table can be computed

n      t_n

1       t_1=1^2-2(1) =-1

2      t_2=2^2-2(2) =0

3      t_3=3^2-2(3) =3

4      t_4=4^2-2(4) =8

4 0
3 years ago
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