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Nadusha1986 [10]
3 years ago
11

Find the slope of a line perpendicular to y=⅖x+⅘​

Mathematics
2 answers:
Yakvenalex [24]3 years ago
6 0
To find the slope perpendicular we will take our original slope (2/5) and find the reciprocal.
To do this, we will flip the slope (so we get 5/2) and make it negative so we get our final perpendicular slope of -5/2
zloy xaker [14]3 years ago
4 0

Answer:

-2.5

Step-by-step explanation:

The perpendicular slope will be the opposite reciprocal of the original slope.
So the slope of the perpendicular will be:

\frac{-1}{0.4} = -2.5

If we were asked to give the equation of the perpendicular it would be:

-2.5x+ 4/5

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Crank

Answer:25 m

Step-by-step explanation:

3 0
3 years ago
Emily added 5 grams of water into 20 grams of 50% salt solution.
atroni [7]
Answers:
She made ___25___ grams of ___40___% salt solution

------------------------------------------------------------------

The given info "20 grams of 50% salt solution" tells us that we have 10 grams of pure salt
Since 50% of 20 = 0.50*20 = 10
Put another way, we have 10 grams of pure salt out of 20 total so 10/20 = 0.50 = 50% salt solution

The 20 grams of solution updates to 25 grams of solution when we add the 5 grams of water
We don't add any salt, assuming this water is fresh water

So we still have 10 grams of pure salt out of 25 grams now
10/25 = 2/5 = 0.40 = 40% is the new salt concentration

5 0
3 years ago
The prices of two ratios are in the ratio x:y
Archy [21]

Answer:

4:1

Step-by-step explanation:

x+20 : y+20 = 5 : 2

(x+20)/(y+20) = 5/2

2(x+20) = 5(y+20)

2x+40 = 5y+100

2x = 5y+60 (1)

x-5 : y-5 = 5:1

(x-5)/(y-5) = 5/1

x-5 = 5(y-5)

x-5 = 5y-25

x = 5y-20 (2)

Solve (1) & (2) simultaneously,

2(5y-20) = 5y+60

10y-40 = 5y+60

5y = 100

y = 20

x = 5y-20

x = 5(20)-20 = 100-20

x = 80

x:y

80:20

4:1

8 0
3 years ago
Read 2 more answers
In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home va
ArbitrLikvidat [17]

Answer:

1500%

Step-by-step explanation:

The formula for Percentage increase is

Increase/ Initial Amount × 100

Increase = Current Amount - Initial Amount

Increase = $320,000 - $20,000

Increase = $300,000

Percentage Increase =

$300,000/$20,000 × 100

= 1500%

The percent increase in home value in those 50 years is 1500%

8 0
3 years ago
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the v
Ann [662]

Answer:

(0, 3 ), (5, 0), (10, -3), (15, -6)

Step-by-step explanation:

3x − 5y = 15

-5y = 3x + 15

y = -\frac{3}{5} x + 3

Point 1:  (0, 3 )

  y = -3/5(0) + 3

  y = 0 + 3

  y = 3

 

  Validate:

   3 = -3/5(0) + 3

   3 = 3

Point 2:  (5, 0)

  y = -3/5(5) + 3

  y = -3 + 3

  y = 0

  Validate:

   0 = -3/5(5) + 3

   0 = 0

Point 3:  (10, -3)

  y = -3/5(10) + 3

  y = -6 + 3

  y = -3

  Validate:

   -3 = -3/5(10) + 3

   -3 = -3

Point 4:  (15, -6)

  y = -3/5(15) + 3

  y = -9 + 3

  y = -6

 Validate:

   -6 = -3/5(15) + 3

   -6 = -6

6 0
3 years ago
Read 2 more answers
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