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Bezzdna [24]
3 years ago
8

Can someone solve for x

Mathematics
2 answers:
GarryVolchara [31]3 years ago
4 0

Step-by-step explanation:

Hey there!

8. 7 = 77/(X+6).

<u>Mult</u><u>iply</u><u> </u><u>7</u><u> </u><u>and</u><u> </u><u>(</u><u>X+</u><u>6</u><u>)</u>

<u>7x + 42 = 77</u>

<u>Take</u><u> </u><u>"</u><u>4</u><u>2</u><u>"</u><u> </u><u>on</u><u> </u><u>right</u><u> </u><u>side</u><u> </u><u>and</u><u> </u><u>subtr</u><u>act</u><u> </u><u>it</u><u> </u><u>from</u><u> </u><u>7</u><u>7</u><u>.</u>

<u>7x = 77 - 42</u>

<u>x =  \frac{35}{7}</u>

<u>There</u><u>fore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>5</u><u>.</u>

10.

<u>\frac{x}{ - 2}  + 10 =  - 3</u>

<u>Shif</u><u>t</u><u> </u><u>"</u><u>1</u><u>0</u><u>"</u><u> </u><u>on</u><u> </u><u>right</u><u> </u><u>side</u><u>.</u>

<u>\frac{x}{ - 2 }  =  - 3 - 10</u>

<u>Simpl</u><u>ify</u><u> it</u><u>.</u>

<u>x =  - 13 \times  - 2</u>

<u>x = 26</u>

<u>Therefore</u><u>,</u><u> </u><u>X </u><u>=</u><u> </u><u>2</u><u>6</u><u>.</u>

<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> </u></em><em><u>he</u></em><em><u>lps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

Dennis_Churaev [7]3 years ago
3 0

Answer:

x = 5, x = 26

Step-by-step explanation:

(8)

7 = \frac{77}{x+6} ( multiply both sides by x + 6 )

7(x + 6) = 77 ( divide both sides by 7 )

x + 6 = 11 ( subtract 6 from both sides )

x = 5

------------------------------

(10)

\frac{x}{-2} + 10 = - 3 ( subtract 10 from both sides )

\frac{x}{-2} = - 13 ( multiply both sides by - 2 to clear the fraction )

x = 26

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Answer:

The probability that both cards that are drawn are hearts is 1/17.

Step-by-Step-Explanation:

First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.

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