MATHEMATICS MIDDLE SCHOOL

Solve each questions by taking square roots1.k²=76
2.k²=16
3.x²=21
4.a²=40
5.x²+8=28
6.2n²=-144
7.-6m²=-414
8.7x²=-21
9.m²+7=88
10.-5x²=-500
11.-7n²=-448
12.-2k²=-162
13.x²-5=73
14.16n²=49

Answers

Answer 1
Answer: 1.\ k^2=76\n\nk=\pm√(76)\n\nk=\pm√(4\cdot19)\n\nk=\pm2√(19)\n-------------\n2.\ k^2=16\n\nk=\pm√(16)\n\nk=\pm4\n-------------\n
3.\ x^2=21\n\nx=\pm√(21)\n-------------\n4.\ a^2=40\n\na=\pm√(40)\n\na=\pm√(4\cdot10)\n\na=\pm2√(10)\n-------------\n5.\ x^2+8=28\ \ \ /-8\n\nx^2=20\n\nx=\pm√(20)\n\nx=\pm√(4\cdot5)\n\nx=\pm2\sqrt5\n-------------\n
6.\ 2n^2=-144\ \ \ \ /:2\n\nn^2=-72-no\ real\ solutions\n-------------\n7.\ -6m^2=-414\ \ \ \ /:(-6)\n\nm^2=69\n\nm=\pm√(69)\n-------------\n8.\ 7x^2=-21\ \ \ \ /:(-7)\n\nx^2=-3-no\ real\ solutions\n-------------\n
9.\ m^2+7=88\ \ \ \ /-7\n\nm^2=88-7\n\nm^2=81\n\nm=\pm√(81)\n\nm=\pm9\n-------------\n10.\ -5x^2=-500\ \ \ \ /:(_5)\n\nx^2=100\n\nx=\pm√(100)\n\nx=\pm10\n-------------\n
11.\ -7n^2=-448\ \ \ \ /:(-7)\n\nn^2=64\n\nn=\pm√(64)\n\nn=\pm8\n-------------\n12.\ -2k^2=-162\ \ \ \ /:(-2)\n\nk^2=81\n\nk=\pm√(81)\n\nk=\pm9\n-------------\n
13.\ x^2-5=73\ \ \ \ /+5\n\nx^2=78\n\nx=\pm√(78)\n-------------\n14.\ 16n^2=49\ \ \ \ /:16\n\nn^2=(49)/(16)\n\nn=\pm\sqrt(49)/(16)\n\nn=\pm(√(49))/(√(16))\n\nn=\pm(7)/(4)

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50) A wheel has a radius of 9 inches and travels as it spins. How far does the wheel travel in one revolution? Show your work. Use 3.14 for /pi and round to the nearest inch please :).

Answers

You must use the formula for the circumference of a circle which is 19*3.14. That is the distance the wheel travels in one revolution.

Each paper clip is 3/4 of an inch long and costs $.02. Exactly enough paper clips are laid end to end to have a total length of 36 inches. What is the total cost of these paper clips?

Answers

The total cost of these paperclips is $0.96.

What is the fraction?

A fraction is defined as a portion of a whole. Fractions are numerical values that represent a fraction or division of any quantity, where quantity might be anything. Fractions are hence a part or piece of a quantity.

Since each paper clip is 3/4 of an inch long, the number of paper clips needed to make a total length of 36 inches is:

36 / (3/4)

Reciprocal the terms in the numerator,

36 × (4/3)

48

Therefore, 48 paperclips are needed.

The cost of each paper clip is $0.02, so the totalcost of 48 paper clips is:

48 x $0.02 = $0.96

Therefore, the total cost of these paper clips is $0.96.

Learn more about the fraction here:

brainly.com/question/10354322

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So,
3/4=0.75
36/0.75=48
You need 48 paperclips to make it end to end.
The cost is:
48 x 0.02=0.96
The total cost is $0.96

Hope I helped!

there are 56 students going to the game.the coach puts 7 students in each van. which number sentence can be used to find how many vans are needed to take the students to the game?56+7= ×7=56 +7=56 or 56-7=

Answers

Your best bet would be __ × 7= 56, where the blank space represents the amount of vans needed to take the students to the game.

-Hope this helps!
Yes i agree. The sentence is __ x 7=56

This doesn’t make since! Only the smartest can get this right lol! Somebody helppp DUE TMMR!

Answers

Answer: 70 - 40 = 30

Step-by-step explanation:

|60| ___ |-60|
>
=
<
fill in the blank

Answers

The inequality ∣60∣≤∣−60∣ holds true. This is because the absolute value of both 60 and -60 is equal to 60.

The expression ∣60∣≤∣−60∣ can be evaluated by calculating the absolute values on both sides. The absolute value of 60 is 60, and the absolute value of -60 is also 60. So, ∣60∣=∣−60∣=60.

Since 60 is equal to 60, the inequality ∣60∣≤∣−60∣ is true. This inequality states that the absolute value of 60 is less than or equal to the absolute value of -60. In this case, since both absolute values are equal, the statement is true. The absolute value function essentially removes the negative sign from a negative number, making it positive, and in this case, the absolute values of 60 and -60 are indeed the same, resulting in a true inequality.

To know more about inequality:

brainly.com/question/28823603


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Answer:

=

Step-by-step explanation:

mod means positive...that's why both are equal 60=60

What is the measure of angle x?

Answers

Answer:

x = 47°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for x

x = 180° - (31 + 102)° = 180° - 133° = 47°

Answer:

Step-by-step explanation:

180-(102+31) (asp)

=180-133

=47
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