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3 years ago

Which ordered pair is a solution to the system of linear equations Y= -7x+2 and y=9x-1

1 answer:

3 0

$\left\{\begin{array}{ccc}y=-7x+2\\y=9x-1\end{array}\right\Rightarrow 9x-1=-7x+2\\\\9x-1=-7x+2\ \ \ |+1\\9x=-7x+3\ \ \ |+7x\\16x=3\ \ \ \ |:16\\x=\dfrac{3}{16}\\\\\text{substitute the value of x to the second equation}\\\\y=9\cdot\dfrac{3}{16}-1\\\\y=\dfrac{27}{16}-\dfrac{16}{16}\\\\y=\dfrac{11}{16}\\\\\text{The solution is}\ \left(\dfrac{3}{16};\ \dfrac{11}{16}\right)$

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A total of $2100 for a house painting job is to be divided between two painters in the ratio of 3 to 4. How much does each paint

kakasveta [241]

$\bf 2100\qquad 3:4\qquad \cfrac{3}{4}\implies \cfrac{3\cdot \frac{2100}{3+4}}{4\cdot \frac{2100}{3+4}}\implies \cfrac{3\cdot 300}{4\cdot 300}\implies \cfrac{900}{1200}$

4 0

2 years ago

Is 1/2 or 4/8 bigger???

PIT_PIT [208]

Answer: they are both the same fraction

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3 years ago

The table below shows the number of tickets sold per

andrew11 [14]

Answer:

102 tickets

Step-by-step explanation:

start by adding

Mon 198

Tues 96

We'd 204

then you would get 498 and max people that can fit in the gym is 600 so then you would subtract 600-498 and get 102 so the maximum amount of tickets they can sell on Thursday is 102 tickets

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2 years ago

Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!

kupik [55]

Answer:

The equation of required line is: $\mathbf{5x-8y+34=0}$

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to $5x-8y+12=0$ and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line $5x-8y+12=0$ to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: $y=mx+b$ where m is slope.

$5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}$

So, the slope m = 5/8

The slope of required line is $m=\frac{5}{8}$

Now finding y-intercept using slope $m=\frac{5}{8}$ and point(-2,3)

$y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}$

So, the equation of required line having slope $m=\frac{5}{8}$ and y-intercept $b=\frac{17}{4}$

$y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0$

So, The equation of required line is: $\mathbf{5x-8y+34=0}$

3 0

2 years ago

Whats the area of a polygon with vertices A(2,3) B(12,3) C(6,0) and D(2,0)

Vanyuwa [196]

This shape is trapezoid

top of the trapezoid is 10 (12-2)

and the bottom is 4 (6-2)

the height in 3 (3-0)

so the area will be
$((10+4) \times 3) \div 2 \\ = (14 \times 3) \div 2 = 42 \div 2 \\ = 21$
the area is 21

6 0

3 years ago