Answer:
3+3 am I right... I think I am
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The answer is option
D) r < 5 or r > – 1.
I'm going to graph each inequality below on a number line.
A) r > 5 or r > – 1.

The result is found just by joining those two intervals together. Actually that compound inequality only implies
r > – 1which does not represent all real numbers.
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B) r > 5 or r < – 1.

Numbers between – 1 and 5 (including them) are not included in the union, so you don't have all real numbers represented there either.
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C) r < 5 or r < – 1.

Numbers that are greater or equal to 5 are not in the union. So it does not represent all real numbers.
—————
D) r < 5 or r > – 1.
Now
all real numbers are included in the union. So this is the right choice.
Answer:
option D) r < 5 or r > – 1.
I hope this helps. =)
Answer:
The width of the yard is approximately 6 feet.
Step-by-step explanation:
1 cubic yard = 27 cubic feet. Then we must find the number of cubic yards.
So we know for 1 cubic yard = $98
And for "x" cubic yard = $58.07
1/x =98/58.07
x = 0.5925
After we figure this out we need to convert this into cubic feet
1 cubic yard = 27 cubic feet
0.5925 cubic yard = x cubic feet
1/0.5925= 27/x
x = 15 .99 cubic feet
So,
width x height x length = 16 cubic feet
w x 8 x (1/3) = 16
w = 48/8 = 6 feet
So:
The answer is:
The width of the yard is approximately 6 feet.
Hope this helps, have a good day. c;
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10