mike is taking a his social studies test . mike was only able to finish 1/6 of the test in 1/2 hour. how long will it take him to finish the test?

Answers

Answer 1
Answer: 1-(1)/(6)=(5)/(6)\n\n\begin{array}{ccc}(1)/(6)\ of\ the\ test&-&(1)/(2)\ h\n\n(5)/(6)\ of\ the\ test&-&x\ h\end{array}\ \ \ \ |cross\ multiply\n\n\n(1)/(6)x=(1)/(2)\cdot(5)/(6)\n\n(1)/(6)x=(5)/(12)\ \ \ \ \ |multiply\ both\ sides\ by\ 6\n\n\boxed{x=(5)/(2)=2.5\ (h)}\leftarrow time\ he\ will\ have\ to\ do\ the\ test\n\n\ntotal\ test\ time:2.5\ h+0.5\ h=3\ h
Answer 2
Answer: 1/2*6 = 3. It will take him 3 hours to finish his test if he continues on the same rate

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Find the range for these numbers. 12,9,24,24,37,18,9,6,24

Answers

The difference between the greatest and lowest numbers in a piece of data is the range. The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

What is the range?

The difference between the greatest and lowest numbers in a piece of data is the range. The difference here is that the range of a set of data is determined by subtracting the sample maximum and minimum.

The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is,

37-6 = 31

Hence, The range of the given data set {6, 9, 9, 12, 18, 24, 24, 24, 37} is 31.

Learn more about Range:

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The range of a set of data is the difference between the highest and lowest values in the set. Order the number in order from least to greatest.
6,9,9,12,18,24,24,24,37
Then subtract the least number from the greatest number.
37-6=31
So your answer is 31.

If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​

Answers

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

(5+2√(3) )/(7+4√(3) )

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4√(3) is 7 - 4√(3)

= ((5+2√(3))(7-4√(3))  )/((7+4√(3))(7-4√(3)  ) ← expand numerator/ denominator using FOIL

= (35-20√(3)+14√(3)-24  )/(49-28√(3)+28√(3)-48  )

= (11-6√(3) )/(1)

= 11 - 6√(3)

with a = 11 and b = 6

The radius of a circle is 2 feet. What is the length of a 135° arc?

Answers

Answer: length of arc = 4.71 feet

Step-by-step explanation:

An arc is a portion of the circumference of a circle. The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 2 feet

θ = 135 degrees

Therefore,

Length of arc = 135/360 × 2 × 3.14 × 2 = 4.71 feet

Answer:

3​/2

Step-by-step explanation:

Meena read 1/4 pages of a book containing 320 pages how many pages did she read?

Answers

Step-by-step explanation:

Hope it will help you a lot.

A number that if multiplied by 6 and then increased by 48 will result to 600

Answers

Answer

92

Step-by-step explanation:

take 48 minus 600, you get 552 now divide 6 by 552 and you get your answer.

36 & 64 are both square numbers. They Have a sum of a 100 Find Two Square numbers that have a sum of 130

Answers

81 and 49 would have a sum of 130
81 and 49 would make 130