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Aliun [14]
2 years ago
15

Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a fer

ry to spend the night. The next day, she has 12 hours of daylight to complete the remaining distance. What inequality represents the minimum rate she has to swim on the second day to complete the distance?
Mathematics
1 answer:
sesenic [268]2 years ago
8 0

Answer:the minimum rate is 1 mile per hour.

Step-by-step explanation:

Chanita wants to swim the 21-mile English Channel in 48 hours. Total number of miles that she covered on the first day is 9 miles. Total distance left for her to cover would be

21 - 9 =12 miles.

The next day, she has 12 hours of daylight to complete the remaining distance. Let x represent the minimum rate she has to swim on the second day to complete the distance.

Speed = distance/time

Therefore,

x ≥ 12/12

x ≥ 1

You might be interested in
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
3 years ago
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap cost $1 and the chicken wrap cost$1.8
vfiekz [6]
Let us assume the number of vegetarian wraps made = x
Let us assume the number of chicken wraps made = y
Then
x + y = 70
x = 70 - y
And
x + 1.80y = 98.80
Putting the value of x from the first equation in the second equation, we get
x + 1.80y = 98.80
70 - y + 1.80y = 98.80
0.80y = 28.80
y = 36
Putting the value of y in the first equation, we get
x + y = 70
x + 36 = 70
x = 34
From the above deduction, we can conclude that the number of vegetarian warps sold was 34. I hope the answer has come to your desired help.
6 0
3 years ago
Janet wants to plant a square flower garden in her yard. She has enough topsoil to cover an area of 30 square feet. How long can
gregori [183]
It can be at least 5.4 feet long since the area of a square is A=s^2. 5.4 times 5.4 is 30
6 0
3 years ago
How can this expression be written another way? 56k + 8
alexira [117]

Step-by-step explanation:

8(7k+1)

no need to thank me

4 0
2 years ago
Explain please, I’ve been having trouble with this question
GuDViN [60]

Step-by-step explanation:

I didn't need the other angles, but right of the bat you can tell it's two right triangles back to back.

<em>y </em> has to be 90° , as you have noticed they already gave you 70° on the right side of the shape meaning if you were to add 90 which is why plus 70 what would that give you? 160.

the total interior for a triangles angles has to be 180°. if you do the math 180 - 160 you get the leftover 20° for x.

I suck at explaining stuff, hope this helps

7 0
1 year ago
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