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ruslelena [56]
3 years ago
10

R - 9S = 2 3R - 3S = -10

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
R-9s=2  add 9s to both sides

r=2+9s  making 3r-3s=-10 become:

3(2+9s)-3s=-10  perform indicated multiplication on left side

6+27s-3s=-10  combine like terms on left side

6+24s=-10  subtract 6 from both sides

24s=-16  divide both sides by 24

s=-16/24

s=-2/3, making r-9s=2 become:

r-9(-2/3)=2  perform indicated multiplication on left side

r+6=2 subtract 6 from both sides

r=-4

So s= -2/3 and r= -4
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A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$70. A season ski pass costs ​$300. The
MatroZZZ [7]

The number of days when the season pass would be less expensive than the daily pass is 5 days.

<h3>How many days would the season pass be less expensive?</h3>

The equation that represents the total cost of skiing with the daily pass : (daily pass x number of days) + (cost of renting skis x number of days)

$70d + $20d = $90d

The equation that represents the total cost of skiing with the seasonal pass : cost of season pass + (cost of renting skis x number of days)

$300 + $20d

When the season pass becomes less expensive, the inequality equation is:

Daily pass > season pass

$90d > $300 + $20d

In order to determine the value of d, take the following steps:

Combine and add similar terms: $90d - $20d > $300

70d > $300

Divide both sides by 70 d > $300 / 70

d > 4.3 days

Approximately 5 days.

To learn more about how to calculate inequality, please check: brainly.com/question/13306871

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5 0
1 year ago
Solve 5n-7p+3n=25p for n
Gnesinka [82]

Answer:

n=4p

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
4 years ago
PLZ HELP!!!!!! What is the equation of the line graphed below?
alex41 [277]

Answer:

Your answer is B

Step-by-step explanation:

First we have to find the Y intercept, which is -2.

Then you have to find the slope. Rise/Run

If you count up 5 and left 2 you get your next point. Meaning that 5/-2 is your slope.

6 0
3 years ago
Find the coordinates of point B along a directed line segment from A(3,4) and
andreev551 [17]

We have been given two points. A(3,4) and C(3,9). We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio m:n, then coordinates of point P are:

[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]

(x_1,y_1)=(3,4) and (x_2,y_2)=(3,9).

m=4,n=1

Upon substituting our given information in above formula, we will get:

[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]

[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]

[\right x=\frac{15}{5},y=\frac{40}{5}\left]

[\right x=3,y=8\left]

Therefore, the coordinates of point B would be (3,8).

8 0
3 years ago
Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3
Gwar [14]

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

5 0
3 years ago
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