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GenaCL600 [577]
3 years ago
5

Find x if S is between R and T RS is x+3 ST is 5x and RT is 57

Mathematics
1 answer:
Mila [183]3 years ago
7 0
Since S is between R and T, then we know
RS + ST = RT
(x+3) + (5x) = 57
6x+3 = 57
6x = 54
X = 9
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A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
natita [175]

Answer:

x\geq 29,000  and  x\leq 41,000

Step-by-step explanation:

Let

x -----> the altitude of a commercial aircraft

we know that

The expression " A minimum altitude of 29,000 feet" is equal to

x\geq 29,000

All real numbers greater than or equal to 29,000 ft

The expression " A maximum altitude of 41,000 feet" is equal to

x\leq 41,000

All real numbers less than or equal to 41,000 ft

therefore

The compound inequality is equal to

x\geq 29,000  and  x\leq 41,000

All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft

The solution is the interval ------> [29,000,41,000]

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3 years ago
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slava [35]
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8 0
3 years ago
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An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0
3 years ago
If the figure is reflected over the line y=x, which rule is true
saveliy_v [14]

Answer:

These reflected points represent the inverse function

Step-by-step explanation:

This is just one of the rules that are true.

8 0
3 years ago
How do we find the value of -q in the equation -q-3=7
Cloud [144]

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put in(recheck): --10=7+3

                          +10=10

3 0
3 years ago
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