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3 years ago

8 ways to get 24 using only 3 numbers and only using multiplacation.

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

12 x 2 x 1
4 x 3 x 2
6 x 2 x 2
1 x 24 x 1
-6 x 2 x -2
- 4 x 3 x -2
- 12 x 2 x =1
=1 x 24 x -1

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Combine the like terms to create an equivalent expression 8q+6+7

bagirrra123 [75]

Answer:

8q+13

Step-by-step explanation:

just add the 6 and the 7 together and you get 13

After that do 8q+13

4 0

3 years ago

Read 2 more answers

The third and the sixth term of a geometric progression are 24 and 64/9 respectively. Find

Ratling [72]

Answer:

Ai. Common ratio = 2/3

Aii. First term = 54

B. Sum of the first five terms = 422/3

Step-by-step explanation:

From the question given above, the following data were obtained:

3rd term (T3) = 24

6Th term (T6) = 64/9

First term (a) =?

Common ratio (r) =?

Sum of the first five terms (S5) =?

Ai. Determination of the common ratio (r).

T3 = ar²

T3 = 24

24 = ar²....... (1)

T6 = ar⁵

T6 = 64/9

64/9 = ar⁵......... (2)

The equation are:

24 = ar²....... (1)

64/9 = ar⁵......... (2)

Divide equation 2 by equation 1.

64/9 ÷ 24 = ar⁵ / ar²

64/9 × 1/24 = r³

8/27 = r³

Take the cube root of both side

r = 3√(8/27)

r = 2/3

Thus, the common ratio is 2/3

Aii. Determination of the first term (a).

T3 = ar²

3rd term (T3) = 24

Common ratio (r) = 2/3

First term (a) =?

24 = a(2/3)²

24 = 4a/9

Cross multiply

24 × 9 = 4a

216 = 4a

Divide both side by 4

a = 216/4

a = 54

Thus, the first term (a) is 54

B. Determination of the sum of the first five terms.

Common ratio (r) = 2/3

First term (a) = 54

Number of term (n) = 5

Sum of first five terms (S5) =?

Sn = a[1 –rⁿ] / 1 – r

S5 = 54[1 – (⅔)⁵] / 1 – ⅔

S5 = 54 [1 – 32/243] / ⅓

S5 = 54 (211/243) × 3

S5 = 54 × 211/81

S5 = 6 × 211/9

S5 = 2 × 211/3

S5 = 422/3

Thus, the sum of the first five terms is 422/3

8 0

3 years ago

Two groups of people went to see Iron Man 3

poizon [28]

Answer:

x = 16.5

Step-by-step explanation:

2x + 3y = 73.50

5x + 2y = 109.50

(2x + 3y = 73.5) -5

(5x + 2y = 109.5) 2

-10x - 15y = -367.5

10x + 4y =219

-11y = -148.5

y = 13.5

2x + 3(13.5) = 73.50

2x + 40.5 = 73.5

2x = 73.5 - 40.5

2x = 33

x = 16.5

8 0

3 years ago

In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be?

Firdavs [7]

The answers are D:Rectangle, and B:Parallelogram

3 0

3 years ago

Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actual

NISA [10]

Answer:

Randy is 48 years old

Sandy is 12 years old

Todd is 27 years old

Step-by-step explanation:

Given

Represent their ages with the first letters of their names:

$R + S + T = 87$

$R = 4 * S$

$T = 15 + S$

Required

Determine their individual ages

We'll solve the above equations using substitution method of simultaneous equations

Substitute 15 + S for T and 4 * S for R in $R + S + T = 87$

This gives:

$4 * S + S + 15 + S = 87$

$4 S + S + 15 + S = 87$

Collect Like Terms

$4 S + S + S = 87 - 15$

$6S = 72$

Divide through by 6

$S = 72/6$

$S = 12$

This implies that Sandy is 12 years old

Substitute 12 for S in $R = 4 * S$ and $T = 15 + S$

$R = 4 * 12$

$R = 48$

$T = 15 + 12$

$T = 27$

This implies that Randy is 48 years old and Todd is 27

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3 years ago