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Vladimir79 [104]
3 years ago
10

Please help, I'll mark Brainiest. It's 8th grade math

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0

Answer:

(-5, 2)

Step-by-step explanation:

<u>plug x into the equation x - 5y = -15</u>

-5 - 5y = -15

add 5 to both sides: -5y = -10

divide by -5: y = 2

svetlana [45]3 years ago
7 0

Correct Answer:

(5, 4)

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What is an equation of the line that passes through the points (4,-6) and (8,-4)​
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Answer:

y =  \frac{1}{2} x - 8

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

\boxed{gradient =  \frac{y1 - y2}{x1 - x2} }

Using the gradient formula above,

m =  \frac{ -4 - ( - 6)}{8 - 4}  \\ m =  \frac{ - 4 + 6}{4}  \\ m =  \frac{2}{4}  \\ m =  \frac{1}{2}

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y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 <em>(</em><em>-2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

c= -8 <em>(</em><em>simplify</em><em>)</em>

Thus, the equation of the line is y= ½x -8.

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The population of a city in Texas is about 1,030,000. The population of the city in t years can be predicted using the equation
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We presume your equation is intended to be ...

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Answer:

Profit = \$250

Step-by-step explanation:

Given

Number of Toys = 50

Unit Cost Price = $5.5

Unit Selling price = $15

Required

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First, we need to determine the total cost price;

Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price

Cost\ Price = 50 * \$5.5

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First, we need to determine the total sales;

____________________________________________________

Half of the toy was sold at $15;

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From the above calculation;

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<em></em>

<em>Calculating Two-fifth of the remaining:</em>

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____________________________________________________

The remaining was sold at one-third of the sales price

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Remaining\ Toy = 50 - 25 - 10

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<em>Calculating </em>one-third <em>of the sales price:</em>

\frac{1}{3} * \$15

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This means that 15 toys were sold for $5

Sales = 15 * \$5

Sales = \$75

____________________________________________________

Now the total sales can be calculated;

Total\ Sales = \$375 + \$75 + \$75

Total\ Sales = \$525

Profit = Total\ Sales -\ Cost\ Price

Profit = \$525 -\$275

Profit = \$250

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