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3 years ago

12x - 5 = 8x - x + 50 Help please show work and check the solution

Mathematics

1 answer:

Inga [223]3 years ago

3 0

Answer:

x = 11

Step-by-step explanation:

$12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50 \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11$

and check:

$12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127$

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If x= eighth root of y and y= z^16 how is x proportionate to z ?

ankoles [38]

$x= \sqrt[8]{y}
\\ y = z^{16}

$

Plug "y" into the first equation.

$x = \sqrt[8]{z^{16}} = (z^{16})^{1/8} = z^{16/8} = z^2$

8 0

3 years ago

A rectangle has a height of 5x and a width of x + 2. Express the area of the entire rectangle.

o-na [289]

Rectangle Area = length • width

5x • (x + 2) = area

(5x^2 + 10x) is the area, with no further ways to simplify.

8 0

3 years ago

On a shelf containing 53 comic books, 21 are Marvel titles, 17 are DC titles, 12 are Dark Horse titles, and 3 are Harvey titles.

Marizza181 [45]

Answer:

68% or $\frac{36}{53}$

Step-by-step explanation:

In order to find the probability of Geraldo selecting a comic that isn't a DC title, we have to subtract the amount of comics that are DC titles from the total amount of comics and then divide that number by the total amount of comics.

53 - 17 = 36

36/53 = 0.679

Geraldo has a 68% chance of choosing a comic that isn't a DC title.

8 0

4 years ago

Farmer yoy started with 74 habs on his farm. Every hour, he squashed 1 more of them. Farmer umpt started with 54 habs on her far

bearhunter [10]

Answer:

4 hours it will take for them to be equal.

Step-by-step explanation:

every hour Umpt collects 4

every hour Yoy loses 1,

54 + 4 = 58 +4 = 62 + 4 = 66 + 4 = 70

74 - 1 = 73 - 1 = 72 - 1 = 71 - 1 = 70

5 0

3 years ago

Ian needs to save at least $85.00 for a new pair of basketball shoes. He has $25.00 in his piggy bank, and can save $12.00 from

sweet [91]

Answer:

x = 6; 6 weeks

Step-by-step explanation:

Hi!!

Okay, so here is the equation needed to solve:

85.00 = 25.00 + 12.00x

Subtract 25 from both sides

85 -25 = 25 - 25 + 12x

Then, you get:

55 = 12x

Divide 55 by 12

55/12 =x

so x = 6

Hope this helps!

7 0

3 years ago