MATHEMATICS MIDDLE SCHOOL

Samira ran around a park loop that was 1/3 mile long. She ran around the loop 9 times. Samira says she ran 9/3 miles. Her brother says she ran 3 miles. Who is correct?Use words and drawings to explain

Answers

Answer 1
Answer: They both are correct . 
 9/3 = 3 so its 3 miles 

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Find k if (x-3) is a factor of k^(2) x^(2) -kx-2. 

Answers

w(x)=k^2x^2-kx-2\n\n(x-3)\ is\ a\ factor\ w(x)\ then\ w(3)=0.\n\nSubstitute:\n\nk^2\cdot3^2-k\cdot3-2=0\n9k^2-3k-2=0\n9k^2-6k+3k-2=0\n3k(3k-2)+1(3k-2)=0\n(3k-2)(3k+1)=0\iff3k-2=0\ \vee\ 3k+1=0\n3k=2\ \vee\ 3k=-1\n\n\underline{\underline{k=(2)/(3)\ \vee\ k=-(1)/(3)}}
k can be (-1/3) or (2/3).
since (x-3) is a factor. if you put x=3 in the equation, it must be equal to zero. So the equation becomes (9k2 - 3k -2 = 0). if you solve this you will get k=(-1/3) and k=(2/3). You can substitute this k in the original equation and check, (x-3) is a factor.

Number 18 idk what to do help plz and fast

Answers

it is right it is C 454.5

The area is 24 what are the possible dimensions l×w

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The possible dimensions could be 8x3, 6x4,or 12x2.
Hey there I see you need help well that's why I am here for a square the one side could be 6 or for a rectangle the l vould be 6 and the W could be 4 or 8 and 3 or lastly 12 and 2 hope this helps

A crane is rented at $1000 per day plus a charge per hour of use. The crane was used for 7 hours on a day, and the total charge was $3450. Which equation can be used to find the charge x, in dollars, per hour of use?

Answers

The equation can be (3450-1000)÷7=350.

Which of the following gives all of the sets that contain squrt 9the set of all irrational numbers
the set of all natural numbers, the set of all whole numbers, and the set of all integers
the set of all integers, the set of all rational numbers, and the set of all real numbers
the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

Answers

Answer:

Option C (the set of all integers, the set of all rational numbers, and the set of all real numbers).

Step-by-step explanation:

The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.

As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.

As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.

After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers, Therefore, Option C is the correct answer!!!

Answer:

the set of all integers, the set of all rational numbers, and the set of all real numbers

Step-by-step explanation:

no explanation needed

Marisa wants to buy a DVD player that runs for at least $150 ..she has already saved $80, and plans to save an additional $10 each week. Write an inequality that represents this.

Answers

$80 + $10w ≥ $150

$80 she has already saved + $10 dollars she makes every week must at least be $150
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