MATHEMATICS HIGH SCHOOL

Kyle ran 2/3 mi on Monday,1 1/6 mi on Tuesday, and 7/12 mi on Wednesday.How many total miles did Kyle run?

Express the answer in simplest form.

Answers

Answer 1
Answer:
you would change the denominators to the least common multiple, in this case, 12. then you would change the fractions to 8/12, 14/12, and 7/12. you would add those, and get 29/12. divide 29 by 12, and get 2. add the rest to get 2 5/12.
Answer 2
Answer: (2)/(3)+1 (1)/(6)+ (7)/(12) \n \n (2)/(3)+ 1 (1)/(6)= (2)/(3)+ (1*6+1)/(6)= (7)/(6)+ (2)/(3)= (2*2)/(3*2)= (4)/(6)+ (7)/(6)= (11)/(6)=1 (5)/(6) \n \n (7)/(12)+1 (5)/(6)= (11*2)/(6*2)= (22)/(12) + (7)/(12) = (29)/(12)=2 (5)/(12)

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Is it true or false that any three points are contained in exactly one plane?

Answers

Please ,   Not delete my answer, because is correct.

It is false that any three points are containded in exactly one plane.

For example: if the points are aligned, these points aren´t containded in a plane, these points  are containded in a line.

O= point.

--------------O-----------O---------O---------  (these points are contaided in a line).




         o                    o            (these points are contained in a plane)
                  
                   o
I'm not sure but I think it's true

The figures below are squares. Find an expression for the area of each shaded region. Write your answers in standard form.The bigger square is x+3 on all 3 sides.
The smaller square is x on every side.

Answers

Given:
Big square: side length = x + 3
Small square: side length = x

Area of a square = a²    where a represents the side length.

Area of big square = (x+3)²
A = (x+3)(x+3) 
A = x(x+3) + 3(x+3)
A = x² + 3x + 3x + 9
A = x² + 6x + 9

Area of small square = x²

Total Area = Area of Big square + Area of Small square
Total Area = x² + 6x + 9 + x²
Total Area = 2x² + 6x + 9

Q 30 Adam and his dad share the cost of the meal in the ratio of 2:3. Adams dad payed £52.20. What is the total cost of the meal.

Answers

Well, a ratio can be like a fraction. So, we find 2/3 of 52.2 which is 34.8.So, the sum is
34.8+52.2=87
Hope it Helps. :)

Brenda’s scores on the first three of four 100-point science tests were 95, 92, and 89. What score does she need on her fourth science test to ensure an average score of at least 93?. . A) X ≥ 96. B) X ≤ 90. C) X ≥ 88. D) X ≤ 92

Answers

The average is equal to the mean of the data set. It is the total of the data or numbers given divided by the ordinal unit of the data set. In this case, we are given with scores of 95, 92, and 89. To have an average of at least 93, the fourth score should be : 
95 + 92 + 89 + x ≥ 93 * 4 where 4 is the number of data points. 
x ≥ 96. Test score should be equal or greater than 96.
average of 93

4 scores
(95+92+89+x)/4>93
times 4 both sides
276+x>372
minus 276 both sides
x>96


A

Subtract 10x + 7y from -15x+6y​

Answers

Step-by-step explanation:

= -15x+6y-(10x+7y)

= -15x+6y-10x-7y

= -25x-y.

Answer: 4

Step-by-step explanation:

10 + 7 = 17

15 + 6 = 21

21 - 17 = 4

I don’t know but wanted to try it might not be right

A) show that $n(2n + 1)(7n + 1)$ is divisible by 6 for all integers $n$.b.find all integers $n$ such that $n(2n + 1)(7n + 1)$ is divisible by 12.

Answers

Hi,

A)
(n(2n+1)(7n+1))/(6) \n= (14n^3+9n^2+n)/(6) \n= (12n^3+6n^2)/(6) + (2n^3+3n^2+n)/(6) \n=2n^3+n^2+ (n(2n^2+3n+1))/(6) \n= 2n^3+n^2+ (n(n+1)(2n+1))/(6) \n= 2n^3+n^2+ 1^2+2^2+3^2+...+n^2\ is\ an\ integer.

B)
Only if n=4*k or n=4*k+1 , k beeing an integer.
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