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oee [108]
3 years ago
8

Help please Brainiest to whoever is correct

Mathematics
2 answers:
padilas [110]3 years ago
4 0

Answer:

x=112 or x= 202/27 or x=382/27

Step-by-step explanation:

sorry not sure if the angles add up to 90 degrees or 180 or 360.

hope this helps!

please mark me as brainliest! thanks!

dimulka [17.4K]3 years ago
3 0

Answer: x= 12

Step-by-step explanation: These are vertical angles. Vertical angles are equal.

(15x-29)= (12x+7) subtract 12x from both sides. 3x-29 = 7. Add 29 to both sides. 3x = 36. Divide both sides by 3. x= 12

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A group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250. The wholesale
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Answer:

(275,122)  

When the price will be $275, the quantity will be 122 televisions.

Step-by-step explanation:

We have been given that a group of retailers will buy 104 televisions from a wholesaler if the price is $300 and 144 if the price is $250.

As the quantity of televisions depends on price of televisions, so our demand curve will pass through points (300,104) and (250,144).

Let us find slope of demand line using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}, where,

m =\text{Slope of line},

y_2-y_1=\text{Difference between two y-coordinates},

x_2-x_1=\text{Difference between same x-coordinates of two y-coordinates}

Upon substituting coordinates of our given points in slope formula we will get,

m=\frac{104-144}{300-250}

m=\frac{-40}{50}

m=-\frac{4}{5}

Let us substitute m=-\frac{4}{5} coordinates of point (250,144) in slope intercept form of equation (y=mx+b).

144=-\frac{4}{5}*250+b

144=-4*50+b

144=-200+b

144+200=-200+200+b

344=b

Upon substituting b=344 and m=-\frac{4}{5} we will get equation of our demand line as:

y=-\frac{4}{5}x+344

Similarly we will find the equation of supply line using points (225,88) and (315,168).  

m=\frac{168-88}{315-225}

m=\frac{80}{90}

m=\frac{8}{9}

Let us substitute m=\frac{8}{9} and coordinates of point (225,88) in slope intercept form of equation (y=mx+b).

88=\frac{8}{9}*225+b

88=8*25+b

88=200+b

88-200=200-200+b

-112=b

Upon substituting b=-112 and m=\frac{8}{9} we will get equation of our supply line as:

y=\frac{8}{9}x-122

Let us equate both lines to find the point where both lines intersect.

-\frac{4}{5}x+344=\frac{8}{9}x-122

-\frac{4}{5}x-\frac{8}{9}x+344=\frac{8}{9}x-\frac{8}{9}x-122

-\frac{4}{5}x-\frac{8}{9}x+344=-122

-\frac{4}{5}x-\frac{8}{9}x+344-344=-122-344

-\frac{4}{5}x-\frac{8}{9}x=-466

Let us have a common denominator.

-\frac{4*9}{5*9}x-\frac{8*5}{9*5}x=-466

-\frac{36}{45}x-\frac{40}{45}x=-466

\frac{-36-40}{45}x=-466

\frac{-76}{45}x=-466

\frac{-76}{45}*\frac{45}{-76}x=-466*\frac{45}{-76}

x=466*\frac{45}{76}

x=6.1315789473684211*45

x=275.9210526315789495\approx 275

Let us substitute x=275 in any of our equation to solve for y.

y=-\frac{4}{5}*275+344

y=-4*55+344

y=-220+344

y=122

Therefore, the equilibrium point for the market will be (275,122).

5 0
3 years ago
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