MATHEMATICS HIGH SCHOOL

Write as ratio in simplest form

91%, 12%, 6%, 93%, 62%, 14%, 70%, 400%,.

Answers

Answer 1
Answer: a)
91/100
we cannot simplify this

b) 12/100 = 6/50
cannot be simplified further

c) 6/100 = 3/50

d) 93/100
cannot be simplified

e) 62/100 = 31/50

f) 14/100 = 7/50

g) 70/100 = 7/10

h) 400/100 = 4

when something is in percentage that means it is some part of 100% that is why we divide by 100.

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Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the missing number in the sequence?

Answers

Answer: The missing number in the sequence is (7)/(6)

Step-by-step explanation:

Since we have given that

(1)/(6),(1)/(2),(5)/(6),----------,(11)/(2)

First term = a= (1)/(6)

Common difference = d is given by

d=a_2-a_1\n\n(1)/(2)-(1)/(6)\n\n=(6-2)/(12)\n\n=(4)/(12)=(1)/(3)\n\nSimilarly,\nd=a_3-a_2\n\n=(5)/(6)-(1)/(2)\n\n=(10-6)/(12)\n\n=(4)/(12)\n\n=(1)/(3)

Therefore, it forms an arithmetic sequence.

Since, a_4 is missing,

So,

a_4=a+3d\n\na_4=(1)/(6)+3* (1)/(3)\n\na_4=(1)/(6)+1\n\na_4=(1+6)/(6)\n\na_4=(7)/(6)

Hence, the missing number in the sequence is (7)/(6)
This is an arithmetic progression at a rate of 2/6. 

So 1/6 + 2/6 = 3/6 (1/2)
3/6 + 2/6 = 5/6
5/6 + 2/6 = 7/6
....
29/6 + 2/6 = 31/6 
31/6 +2/6 = 33/6 (11/2)

If two circles have the same diameter, do they have the same circumference?

Answers

Yes they will have the same circumference

If the hypotenuse of a right triangle is 6m and one side is 4m, what is the length of the other side?

Answers

Use the Pythagorean Theorem: a^2 + b^2 = c^2 
a and b are the measures of the legs and c is the measure of the hypotenuse 

Let's solve for a (the length of the other leg) 
*I am hoping that m is not a variable and just an abbreviation for meters* 
b = 4 m 
c = 6 m

a^2 + 4^2 = 6^2
a^2 + 16 = 36
a^2 = 20
a = √(20)
after simplifying...
a = 2 √(5) m 

What is the next value 1 I 2 L 3 F 4

Answers

Based on the pattern, 1 I 2 L 3 F ... the number corresponds to the number of lines of the letter. 1 refers to the vertical line in I. 2 refers to the vertical and horizontal lines that form L. 3 refers to the vertical and 2 horizontal lines that form F. So, 4 will most likely refer to E, one vertical line and 3 horizontal lines.

Final answer:

The sequence provided isn't clear in its pattern between numbers and letters. The pattern doesn't match recognizable numerical patterns and may require additional context or information to decode. Therefore, the next value in this sequence is unclear.

Explanation:

The pattern in the sequence 1 I 2 L 3 F 4 seems to be pairing a number with a corresponding alphabetical character. However, the association between the numbers and characters is not directly clear from the given sequence. Applying a numerical pattern might provide a logical solution, but the provided information doesn't seem to align with common numerical patterns.

For example, if we map the alphabetical sequence to numbers (where A=1, B=2, C=3, etc.), we don't get a recognizable pattern. It appears the sequence might involve a more complex pattern or it's possible there could be a typo or error in the question. If this is a question related to cryptography or coding, additional information may be required to decode the sequence.

Unfortunately, without more context or information, it's challenging to definitively determine the next value in the sequence. Regardless, always ensure to look out for patterns in terms of the positions and values of the numbers or letters in a sequence.

Learn more about Pattern Analysis here:

brainly.com/question/32467872

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Penny works at a localamusement park.
She earns $9.80 per hour.
She is also paid $7.00 for
meals and $3.00 for
transportation each day.
Last Friday, Penny earned
$88.40. Write and solve an
equation to determine how
many hours Penny worked
on Friday.

Answers

Answer:Penny worked 8 hours on Friday.

7 + 3 + 9.8h = 88.4

h = 8

Plz mark brainliest:)

Copy and complete the table below by substituting values for x into the expressions 9+ x and 2x. Use your table to work out the largest whole number x could be so that 9+ x is larger than 2x. x 0 1 2 3 4 5 7 9 10 9+x 9 10 11 12 2x 0 2 4 6 ​

Answers