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3 years ago

3 3/4 x = 1 1/4 7/5 x = 7/15 x has to be the same in both equations.

Mathematics

1 answer:

madam [21]3 years ago

7 0

Answer:

x = 1/3

Step-by-step explanation:

3 3/4x = 1 1/4

15/4x = 5/4

x = 5/4 * 4/15

x = 5/15 which reduces to 1/3

7/5x = 7/15

x = 7/15 * 5/7

x = 7/21 which reduces to 1/3

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The geometric sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = -\dfrac13a 1 =− 3 1 a,

slava [35]

Answer:

1.014*10^35

Step-by-step explanation:

Given the following geometric sequence

$a_1 = \frac{-1}{3} \\a_i = a_{i-1}*(-3)$

Sum of nth term of the GP is expressed as;

$S_n = \frac{a(1-r^n)}{1-r}$

a = -1/3

n = 75

r = a2/a1

a2 = -3a1

a2 = -3(-1/3)

a2 = 1

r = 1/(-1/3)

r = -3

Substitute the given values in the formula;

$S_n = \frac{-1/3(3^{75} - 1)}{3-1}\\S_n = \frac{3^{75}-1}{-6} \\S_{75} = 1.014*10^{35}$

Hence the sum of the first 75 terms is 1.014*10^35

5 0

3 years ago

Triangle A is transformed by the

Sauron [17]

Answer:

( -2.5 , 1 )

Step-by-step explanation:

(-2.5 ,1 ) hope this helps u

4 0

3 years ago

The mean height of American women in their twenties is about 64 inches, and the standard deviation is about 2.7 inches. The mean

bagirrra123 [75]

Answer:

slope= 0.52

Step-by-step explanation:

For American women

Mean (x) = 64 inches

Standard deviation (sx) = 2.7 inches

For American Men

Mean(ÿ) = 69.3 inches

Standard deviation (sy) = 2.8 inches

r = 0.5

Slope = ??

Husband height = Y

Wife height = X

the general equation of regression line

y = a + bx

The slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for Y

b = r (sy/sx)

b = 0.5(2.8/2.7)

b = 0.52

The intercept a = ÿ - bx

a = 69.3 - 0.52(64)

a = 69.3 - 33.28

a = 36.02

The equation of the regression line y = a + bx

y = 36.02 + 0.52x

7 0

3 years ago

Rodney bought a 25-pound bag of dog food. His dog ate 10 pounds of the tood in the first month and 1o4 pounds of the food in the

WARRIOR [948]

Answer:

if what youre saying is he ate 10 pounds the first month and 1/4 pounds the second month, then the answer is 14 and 3/4 pounds left.

Step-by-step explanation:

10+1/4=10 1/4

25-10 1/4= 14 3/4

3 0

3 years ago

Share £3,600 in the ratio 3:5

Nookie1986 [14]

Answer:

2,250:1,350

Step-by-step explanation:

4 0

3 years ago

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