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AleksandrR [38]
2 years ago
7

A line with a slope of -1 passes through the point (2,-1). If (-4, p) is another point on the line,

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
7 0

(\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{p}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{p}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{-1}\implies \cfrac{p+1}{-6}=-1\implies p+1=6\implies p=5

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randall borrowed $850 from his parents to make some repairs on his car.He promised to repay the loan by giving his parents at le
sammy [17]

Then, he would take = $850/94 = 9.04

atleast 9.04 weeks for repaying that.......

4 0
2 years ago
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A weather report said there is a 60% chance of rain on Monday, and a 30% chance of rain on Tuesday. Based on the report, what is
sergey [27]

Answer:

The answer is 18 percent, or 9/50.

Step-by-step explanation:

We first convert the chance of rain on Monday into a fraction.

60%=60/100=3/5.

We then convert the chance of rain on Tuesday into a fraction.

30%=30/100=3/10.

Because the two events are independent(i.e. If it rains on Tuesday doesn't depend on if it rains on Monday) we multiply them together to get the probability they both happen. That chance is:

3/5 * 3/10=(3*3)/(5*10)=9/50(fraction form)=18/100=18%(percent form)

5 0
2 years ago
1 point
SpyIntel [72]

Answer:

20

Step-by-step explanation:

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3 0
3 years ago
Convert 3.06% as a decimal and a fraction in simplest form
Volgvan
3.06% becomes 0.0306 as a decimal, then you make it
306/10000
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3 0
3 years ago
The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for
Fudgin [204]

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

5 0
3 years ago
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