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Viktor [21]
3 years ago
9

Solve the inequality ?12<1/2(4x+16)<18

Mathematics
2 answers:
Ksivusya [100]3 years ago
8 0

Answer:

-10<x<5

Step-by-step explanation:

-12<1/2(4x+16)<18

-12<2x+8<18

-8        -8   -8

-20<2x<10

/2    /2    /2

-10<x<5

take out the negative if it doesn't work.

natita [175]3 years ago
4 0

Answer:

<em>The solution will be:  2</em>

Step-by-step explanation:

The given inequality is:   12

First we will multiply all sides by 2 for eliminating that \frac{1}{2} in the middle part. So.........

2*12

Now, we need to subtract 16 from all sides. So, we will get........

24-16

Then, we will divide all sides by 4 for getting x alone in the middle part. So.......

\frac{8}{4}< \frac{4x}{4}< \frac{20}{4} \\ \\ 2

Thus, the solution will be:  2

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  n ≤ 25

Step-by-step explanation:

If n represents "a number", then "a number is a maximum of 25" translates to ...

  n ≤ 25 . . . . . a number is less than or equal to 25

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4 years ago
The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the
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<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:

0.75\times 18=13.5 dollars

Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.

Therefore, the price of the fair admission is: $33.50-$13.50=$20

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=0.75x+20......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

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3 years ago
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