MATHEMATICS MIDDLE SCHOOL

Which one is longer walking on the grass to school or walking on the side walk to school

Answers

Answer 1

Answer: Walking on the side walk would be longer

Answer 2

Answer:

Answer:

Walking on the sidewalk would talk longer

Step-by-step explanation:

You would have to walk beside the sidewalk, causing you to talk less steps to get to school.

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The function f(x)=-(x-3)^2 +9 can be used to represent the area of a rectangle with the perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?

Answers

Maximum area of the rectangle is $9cm^(2)$

Explanation:

Considering the dimensions to be in cm

$f(x) = -(x-3)^(2) +9\nf(x) = -(x^(2) +9 - 6x)+9\nf(x) = -x^(2) +6x\nf'(x) = -2x+6\n-2x+6 = 0\n2x=6\nx=3cm\n\n$

Putting the value of x = 3

$Perimeter = 2(x+b)\n12 = 2(3+b)\n6 = 3+b\nb= 3cm$

$Area of rectangle = x X b\n = 3 X 3\n = 9cm^(2)$

Therefore, maximum area of the rectangle is $9cm^(2)$

Divide. −5 5/6÷(−2 1/6)

Answers

Step-by-step explanation:

-5 5/6 ÷(-2 1/6)

Turn them into improper fractions

-35/6 and -13/6

Change the division sign to multiply

-35/6 × -13/6

Making -13/6 into -6/13

Solve

-35/6 × -6/13 = 210/78

Simplify

Answer:

35/13

Edit: if you want it to be a mixed number, it will be 2 9/13

Answer:

-5 5/6 ÷(-2 1/6)

Turn them into improper fractions

-35/6 and -13/6

Change the division sign to multiply

-35/6 × -13/6

Making -13/6 into -6/13

Solve

-35/6 × -6/13 = 210/78

Simplify explanation:

What is the greatest common factor of 4x5y2+16x3y4−8x6y3?

Answers

Answer:

4x^3y^2

Step-by-step explanation:

Then the remaining would be

x^2+4y^2-2x^3y

Answer:

4x^3y^2

Step-by-step explanation:

Please refer to the picture attached.

Wrapping paper is on sale at 3 rolls for $4.25.How many rolls can danika buy with $20.00

Answers

13 rolls can Danika buy with $20.00.

Given that, wrapping paper is on sale at 3 rolls for $4.25.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The cost of 1 roll = 4.25/3

=$1.47

Number of rolls = 20/1.47

= 13.6

Therefore, 13 rolls can Danika buy with $20.00.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ5

Sorry I didn't read that correct!! If you aren't sure how to do the division, just keep subtracting 4.25 from $20 until you can't anymore!

Divide. Give the exact answer, written as a decimal:
9,350.1 divided by 27

Answers

9350.1 ÷ 27 = 346.3

346.3 should be the answer

Final answer:

To divide 9,350.1 by 27, use long division to obtain an approximate decimal quotient of 346.30037.

Explanation:

To divide 9,350.1 by 27, we can use long division:

Divide the first digit of the dividend (9) by the divisor (27): 9 ÷ 27 = 0.33333 (rounding to 5 decimal places).
Multiply the quotient obtained in the previous step (0.33333) by the divisor (27): 0.33333 × 27 = 8.99991 (rounding to 5 decimal places).
Subtract the product obtained in the previous step (8.99991) from the first digit of the dividend (9): 9 - 8.99991 = 0.00009 (rounding to 5 decimal places).
Bring down the next digit of the dividend (5).
Repeat steps 1-4 until there are no more digits in the dividend.

Therefore, 9,350.1 divided by 27 is approximately 346.30037 (rounded to 5 decimal places).