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LekaFEV [45]
3 years ago
8

1/6x-4+x+3/2x+1/3=22

Mathematics
1 answer:
KIM [24]3 years ago
3 0

\dfrac{1}{6}x-4+x+\dfrac{3}{2}x+\dfrac{1}{3}=22\qquad|\text{multiply both sies by 6}\\\\6\cdot\dfrac{1}{6}x-6\cdot4+6\cdot x+6\cdot\dfrac{3}{2}x+6\cdot\dfrac{1}{3}=6\cdot22\\\\x-24+6x+3\cdot3x+2=132\\\\x-24+6x+9x+2=132\\\\(x+6x+9x)+(-24+2)=132\\\\16x-22=132\qquad|\text{add 22 to both sides}\\\\16x=154\qquad|\text{divide both sides by 16}\\\\x=\dfrac{154}{16}\\\\x=\dfrac{77}{8}

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The orthocenter of an obtuse triangle always lies __________.
aev [14]

The intersection of three altitudes of a triangle is called the orthocenter, while altitude is the line drawn from one of the vertex of a triangle and extends it in such a way that it cuts perpendicularly the opposite side of the same triangle.

<span> For obtuse triangle, the orthocenter always lies outside of the triangle. So option “C” is correct. </span>

<span>An image of obtuse triangle along with orthocenter is attached herewith.</span>

<span> </span>

4 0
3 years ago
What is the equation of the line that passes through the points (4, 5) and (7, 3)
swat32

Answer:

y = -2/3x + 23/3

Step-by-step explanation:

Let equation of the line be y = mx + c

m = (3-5)/(7-4) = -2/3 gradient/slope formula

sub (4, 5)

5 = -2/3 (4) + c

c = 23/3

therefore, equation of the line is y = -2/3x + 23/3

Hope it helps! :)

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7 0
3 years ago
A bakery has fixed costs for retail space, electricity, and appliances of $15,000. The variable cost of baking a cookie is $0.25
antoniya [11.8K]
15,000 + (400 * 12)(0.25) + 200(3.53) =
15,000 + 4800(0.25) + 706 =
15,706 + 1200 =
16906 <===
6 0
3 years ago
Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8
Reptile [31]

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3

substitute x=3

3+y=8\\y=5

5 0
2 years ago
A rope is 84 meters long is cut int two pieces so that one piece is 18 meters longer than the other. What is the length of each
Tpy6a [65]

Answer:

33 meters

51 meters

Step-by-step explanation:

84-18= 66

66/2= 33

33+18= 51

Check your answer:

51+33=84

5 0
3 years ago
Read 2 more answers
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