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bezimeni [28]
3 years ago
14

Answer please BEN......

Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

12x\leq 24; x\leq 2

Step-by-step explanation:

So you have 12 math problems that each take x amount of minutes, and have 24 minutes to finish them. Remember, you can't exceed the 24 minutes (but you are allowed to equal that time). So:

12x\leq 24

Then you can simplify by dividing both sides by 2:

x\leq 2

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One inch is greater than one centimeter
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3 years ago
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A total of 815 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 more stud
kvv77 [185]

Answer:

<u>375 Adult Tickets.</u>

Step-by-step explanation:

Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.

x = # of <u>adult</u> tickets sold

x + 65 = # of <u>student</u> tickets sold.

1) x + x + 65 = 815 (set both ticket amounts equal to the total)

2) 2x + 65 = 815 (added common variables together)

3) 2x = 750 (negated the +65, subtracted it from both sides)

4) x = 375 (divided both sides by 2)

5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.

Therefore,

Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.

5 0
3 years ago
9. If ground beef costs $4.98 for 3 pounds, then what is the unit rate (cost per
Drupady [299]

Answer:

1.66 pounds

Step-by-step explanation:

4.98 dollars divided by 3 pounds

4 0
3 years ago
A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec
Paraphin [41]

Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

The solutions are:

x=3i,\:x=-3i

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor x^2+9:

First, multiply the constant in the polynomial by i^2 where i^2 is equal to -1.

x^2+9i^2

Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

5 0
3 years ago
A unit rate is a rate in which the _ in the comparison is 1 unit.
Nikitich [7]

Answer:

3.1415967382

Step-by-step explanation:

7 0
3 years ago
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