MATHEMATICS MIDDLE SCHOOL

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 1
Answer:

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 2
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

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Kira jogs to a store 72n away in a time of 36s. What is Kira's average speed?Please show your work
Thank You

Answers

The average speed should be 2n/s

Given that,

  • Kira jogs to a store 72n away in a time of 36s.

Based on the above information, the calculation is as follows:

= 72/ 36

= 2n/s

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Check this attachment

8 = 4 w divided by 3

Answers

8 = 4w/3

  8 = 4w/3 
×3 = 4w×3
  24= 4w           ( the two 3s cross each other out)
÷4 = ÷4
  8 = w              ( the two 4s cross each other out)

Each day, Martin lifts weights for 10 minutes and runs on the treadmill for 25 minutes. Wrire two equivalent expressions and then find the total minutes that Martin exercises in 7 days.

Answers

10 x 7 = ?(70)      25 x 7 = ?(175)     175 + 70 = 245

Final answer:

Martin spends 35 minutes exercising daily. Two equivalent expressions to find his exercise time in 7 days are '7 * 35' and '(7 * 10) + (7 * 25)'. Thus, Martin exercises for a total of 245 minutes in 7 days.

Explanation:

First, let's determine the total amount of time Martin exercises daily. He lifts weights for 10 minutes and runs on the treadmill for 25 minutes. Thus, the total time he spends exercising each day is 10 minutes (weightlifting) + 25 minutes (treadmill) = 35 minutes.

Two equivalent expressions for Martin's total exercise time in 7 days can be represented as:

  1. 7 (days) * 35 (minutes/day)
  2. (7 days * 10 minutes/day) + (7 days * 25 minutes/day)

In both cases, they lead to the same conclusion. Hence, the total time Martin spends exercising in 7 days is 7*35 =245 minutes.

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Consider the following system of equations: y = 5x + 6 y = −x − 7 Which description best describes the solution to the system of equations? Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.

Answers

 y = 5x + 6
y = −x − 7 

5x + 6 = -x - 7
6x + 6 = -7
6x = -13
x = -13/6

y = 5(-13/6) + 6
y = -29/6

The solution is (-13/6, -29/6) and that tells us that the two ines do not intersect at the origin or any of the two axis. If they intersected at the origin, then the solution should have been (0, 0). If they intersected at the x-axis, the solution should have been (x, 0). If the two lines intersected at the y-axis, the solution would have been (0, y).

The answer is A) Line y = 5x + 6 intersects line y = −x − 7.

Answer:

The answer is A. Line y = 5x + 6 intersects line y = −x − 7.

Hope This Helps!

Re-write 90+45 using the distributive property

Answers

9(10*5) this is the answer

The owner of a video game store creates the expression −2x2 + 24x + 174 to represent the store's weekly profit in dollars, where x represents the price of a new video game. Choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine the price.−2(x2 − 12x) + 174; x = $12
−2(x2 − 12x − 87); x = $87
−2(x − 6)2 + 246; x = $246
−2(x − 6)2 + 246; x = $6

Answers

Answer:

-2(x-6)^2+246, x = $6

Step-by-step explanation:

The expression -2x^2+24x+174 to represent the store's weekly profit in dollars, where x represents the price of a new video game.

Let f(x)=-2x^2+24x+174

We need to rewrite this quadratic function in the vertex form.

f(x)=-2(x^2-12x)+174

f(x)=-2(x^2-12x+36)--2(36)+174

f(x)=-2(x^2-12x+36)+72+174

f(x)=-2(x-6)^2+246

The equivalent expression that reveals the video game price that produces the highest weekly profit  is  -2(x-6)^2+246

and the price is $6

Answer:

-2(x-6)^2+246; x=$6

Hope it helps!
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