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Snowcat [4.5K]
4 years ago
12

Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG

Mathematics
1 answer:
Naddika [18.5K]4 years ago
4 0

Answer:

The correct answer is 3/8

Step-by-step explanation:

It was in my practice and I had gotten it correct.

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Referees of high school soccer games will end a game at half time if a team is ahead or behind by at least 8 goals. During the d
slavikrds [6]

If at the end of the first half, the difference between the goals scored by the applewood team and the opposing team is greater than or equal to 8, then the referee will finish the game at the end of the first half.

If we call g the number of goals scored by the opposing team, then we can express this situation as an inequality:

11-g \geq 8\\g \leq 11-8\\g \leq 3

However, it is impossible for a team to score -1 goal. Therefore the number of goals scored by the opposing team must be a number greater than 0.

So, the inequality is:

g \leq 3 and g \geq 0

0 \leq g \leq 3

The attached figure shows the graph for this inequality, which represents the number of goals that the opposing team could score if the referee finished the game in the first half.

6 0
3 years ago
Solve the problem -5/3*(-1/8)
natulia [17]

Answer:

0.20833333333 or 5/24

Step-by-step explanation:

Hope this helps UwU <33

4 0
4 years ago
Read 2 more answers
A candy company has 150 kg of chocolate-covered nuts and 90 kg of chocolate-covered raisins to be sold as two different mixes. O
Westkost [7]

Answer:

1. 7x + 9.5y

2. 1980

Step-by-step explanation:

In Mix A, there is an equal amount of nuts and raisins.

Let x = kg of nuts = kg of raisins.

In Mix B, there is 3 times as much nuts as raisins.

Let y = kg of raisins, then 3y = kg of nuts.

We have this information:

           Nuts    Raisins   Price  

mix A    x   +   x     =  $ 7.00

mix B    3y  +  y     =  $  9.50

Total:   150   90

Hence, the number of kilograms of each mix should company prepare for the maximum revenue is = 7x + 9.5y

We have these inequalties:

{x≥0y≥0x+3y≤150x+y≤90} (equation 1)

There will be

x+x=2x kg of Mix A at $7.00 per kg.

The revenue from Mix A is:

7(2x)=14x dollars.

There will be

3y+y=4y kg of Mix B at $9.50 per kg.

The revnue from Mix B is:

9.5(4y)=38y dollars.

Hence, the total revenue is:

R=14x+38y (equation 2).

Graph the region determined by [1] and locate its vertices.

You should get:

(0,0),(90,0),(0,50),(60,30)

Test the vertices into [2] and see which vertex produces maximum revenue

(0,0): R=14(0)+38(0)=0 Minimum revenue

(90,0):R=14(90)+38(0)=1260

(0,50): R=14(0)+38(50)=1900

(60,30):R=14(60)+38(30)=1980 Maximum revenue.

3 0
4 years ago
H(j + i) - k5 + h<br> when h = 3, i = 4, j = 2, and k = 1<br> pls put how you did it
VikaD [51]

Answer:

16

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

h ( j + i )- k(5) + h

3 ( 2 + 4 )- 1(5) + 3

After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

6 + 12 - 1(5) + 3

Then you just follow PEMDAS to solve for the rest

6 + 12 - 5 + 3

18 - 5 + 3

13 + 3

16

6 0
3 years ago
The conversion from Fahrenheit to Celsius is C = (5/9)(F - 32). Convert 212° Fahrenheit to Celsius.
Aliun [14]
The answer is 100 degrees Celsius. 
3 0
3 years ago
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