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MissTica
3 years ago
15

If x < 5 and x >c, give a value of c such that there

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

Answer:

c = 6

Step-by-step explanation:

The compound inequality is c < x < 5

If we want a value of c such that there are no solutions, we need to make that inequality false.

From the inequality we can see that 5 must be greater than c to be true.

Therefore, we need to choose a value smaller or equal than 5.

For example, c=6.

If c = 6, that means that x is greater than 6 and smaller than 5. That's impossible, there is no number that meets that.

Therefore, our compound inequality 6 < x < 5 has no solutions.

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How many ounces of a 15​% alcohol solution must be mixed with 4 ounces of a 20​% alcohol solution to make a 17​% alcohol​ soluti
sukhopar [10]

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

7 0
2 years ago
Read 2 more answers
I need help asap please.
Brilliant_brown [7]

Answer:

an exponential equation has the form y=ar^x where y=final amount, a=initial amount, r=rate, and x=time, in this case

y=200(1.18)^x

Step-by-step explanation:

3 0
2 years ago
The table and the graph each show a different relationship between the same two variables, x and y:
Gelneren [198K]

Answer:

110

Step-by-step explanation:

The answer is 110

If the function for the table is y=90x and the function for the graph is y=80x, then at x=11, the table would be at (11, 990) and the graph at (11, 880) meaning that the y value of the table would be 110 more than the y value of the graph.

4 0
3 years ago
Your father will be going to your grandparents house for dinner.He drives 40 minutws at a constant soeed of 30 miles per houer.H
lorasvet [3.4K]

40 minutes is 2/3 of an hour.

30 miles per hour x 2/3 hour = 20 miles.

30 minutes = 1/2 hour.

60 miles per hour x 1/2 hour = 30 miles.

Total = 20 + 30 = 50 miles.

4 0
3 years ago
Rewrite the following without an exponent.<br> (-5)-2 (the -2 is the exponent)
yuradex [85]

Answer: -5 x -5

The exponent two means the other number multiplied 2 times, so the equation is -5 x -5. The answer to the equation is -25.

Hope this helped you out!

3 0
3 years ago
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