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3 years ago

9

Ryan wants to prepare for a mini marathon by jogging 12 miles each week. How many days would he need to jog if he runs only 3 mi

les each day? Explain.

1 answer:

DaniilM [7]3 years ago

6 0

Only 4 days because you can just divide 12/3 to get your answer

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How do you figure out your ratios

soldi70 [24.7K]

Hello
To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2.

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3 years ago

Using the properties of absolute values, simplify the expression x×|x|, if it is known that:

Westkost [7]

Answer:

x ≥ 0: x|x| = x²
x < 0: x|x| = -x²

Step-by-step explanation:

<u>For x ≥ 0</u>

|x| = x

so

x|x| = x(x) = x²

<u>For x < 0</u>

|x| = -x

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3 years ago

Alec pours the same amount of soup into 3 bowls. He uses 4 cups of soup. How much soup goes into each bowl

Vesna [10]

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8 0

3 years ago

Need answer to 4 and 5

algol13

Answer:

Substitute n =1, 2, 3, 4, 5 to get the first five terms.

Step-by-step explanation:

(4). $g_n = 2 . 3^{n - 1}$

To find the first term, substitute n = 1.

Therefore, $g_1 = 2 . 3^{1 - 1} = 2 . 3^{0} = 2 . 1$ = 2

$g_2 = 2 . 3^{2 - 1} = 2 . 3$ = 6

$g_3 = 2 . 3^{3 - 1} = 2 . 3^{2} = 2 . 9$ = 18

$g_4 = 2 . 3^{4 - 1} = 2 . 3^{3} = 2 . 27$ = 54

$g_5 = 2 . 3^{5 - 1} = 2 . 3^{4} = 2 . 81$ = 168

Therefore the first five terms of the sequence are: 2, 6, 18, 54, 168.

(5). $t_n = \frac{2}{3}t_{n - 1}$

$t_2 = \frac{2}{3} t_{2 - 1} = \frac{2}{3}t_1 = \frac{2}{3}6$ = 4

$t_3 = \frac{2}{3} t_2 = \frac{2}{3}. 4 = \frac{8}{3}$

$t_4 = \frac{2}{3}t_3 = \frac{2}{3}\frac{8}{3} = \frac{16}{9}$

$t_5 = \frac{2}{3}t_4 = \frac{2}{3}\frac{16}{9} = \frac{32}{27}$

Therefore the first five terms in the sequence are: 6, 4, 8/3, 16/9, 32/27.

8 0

3 years ago