¿Cual es el número cuya tercera parte más 12 da 26?OK

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

Answer:

Step-by-step explanation:

x/3+12 = 26

Multiply everything by 3 to eliminate the fraction

x+36=78

subtract 36 on both sides

x=42

42/3=14

14+12=26

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Two lines are intersecting. What is the value of x? Enter your answer in the box. (x + 23) (2x + 4)° Help! Please!!!

Delicious77 [7]

Answer:

$x = 51^o$

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

$x + 23^o + 2x + 4^o = 180^o$ --- angle on a straight line

Collect like terms

$x + 2x = 180^o - 4^o - 23^o$

$3x = 153^o$

Divide both sides by 3

$x = 51^o$

5 0

2 years ago

Adam and Tom share a sum of money in the ratio 18:17

Digiron [165]

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

$\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5$

$\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft$