Combine like terms to simplify the expression below 5y-8x-y+12x

The dimension of the square is 1.125 by 1.125 units and the area of the square is 1.265625 square units.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The given expression represents the area of a square is 64r² – 144r + 81.

The dimension of the square will be

Using the formula method, we have

64r² – 144r + 81

Then

[tex]\rm r = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Then we have

a = 64

b = –144

c = 81

Then

[tex]r = \dfrac{-(-144) \pm \sqrt{(-144)^2-4*64*81}}{2*64}\\\\\\r = \dfrac{144 \pm \sqrt{20736- 20736}}{128}\\\\\\r = \dfrac{144}{128}\\\\\\r = 1.125[/tex]

The dimension of the square is 1.125 by 1.125 units and the area of the square is 1.265625 square units.

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The proof that 10⁹ + 10⁸ + 10⁷ is divisible by 555; Is true and has been proved below

Let the number N be expressed as;

10⁹ + 10⁸ + 10⁷

We can factor out 10⁷ to get;

⇒ 10⁷(100 + 10 + 1)

⇒ 10⁷(111)

⇒ 10 × 10⁶(111)

We can factorize 10 further to get;

5 × 2 × 10⁶(111)

⇒ 555 × 2 × 10⁶

Since the answer contains 555, then we can say that it is divisible by 555.

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Consider the ratio written like a fraction:

Count of sandwichescount of people→46

But we need the count of sandwiches for 1 person. So we need to change the 6 people into 1 person. To change 6 into 1 divide it by 6

6÷6=1

For ratios, when multiplying or dividing, what we do to the bottomwe do to the top.

So to change 46 into what we want we apply

4÷66÷6=231← Count of sandwichescount of people

So each person ends up with 23 of a sandwich

Now see where the shortcut comes from 46=23 of a sandwich

The side length of the square window with a perimeter of (8x+12) feet is found by dividing the perimeter by 4, resulting in an expression for the side length as 2x + 3 feet.

To find the side length of a square window with a given perimeter, you can use the fact that the perimeter (P) of a square is equal to four times the side length (s). In this case, the perimeter is expressed as (8x+12) feet. Since there are four sides of equal length in a square, you divide the perimeter by 4 to find the length of one side.

The formula for the perimeter of a square is:

P = 4s

Given the perimeter P = (8x+12), we can solve for the side length s by dividing both sides of the equation by 4:

s = (8x+12) ÷ 4

Simplifying the equation, we get:

s = 2x + 3

Therefore, the expression for the side length of the square window in feet is 2x + 3.

Answer:

He has surveyed the students who are already participating in the choir. So naturally the number of students who likes the choir class will be higher than in other classes. You can see it reflected in the data.

Step-by-step explanation:

He has surveyed the students who are already participating in the choir. So naturally the number of students who likes the choir class will be higher than in other classes. You can see it reflected in the data.

If he needs to make an inference on the whole school he needs to randomly pick people from the school and ask the same question. Then he can make a better inference about the favorite  class of students.

Answer:

His sample group does not represent the entire school body.

Step-by-step explanation:

Answer:

Cost of 200 gram chess  = $0.88.

Step-by-step explanation:

Given  : If cheese is $4.40 per kilogram.

To find : What should I pay for 200 gram.

Solution : We have given

1 kilogram = 1000 gram.

Cost of 1000 gram chess =  $4.40.

Cost of 1 gram chess = [tex]\frac{4.40}{1000}[/tex].

Cost of 200 gram chess =  [tex]\frac{4.40}{1000}* 200[/tex].

                                        = $0.88.

Therefore, Cost of 200 gram chess  = $0.88.

Answer: The diagram should have five columns, one for each 25% and one for the total, because 25% is 1

4

of 100%. It should have 2 rows, 1 for percents and 1 for dollar amounts.

Step-by-step explanation:

Final answer:

To find the distance the flying squirrel must glide to reach the acorn, the Pythagorean theorem is used. The tree's height (15 feet) and the horizontal distance to the acorn (8 feet) provide the two sides of a right triangle. The squirrel's glide distance is the hypotenuse, calculated to be 17 feet.

Explanation:

To calculate the distance the flying squirrel needs to glide to reach the acorn, we can apply the Pythagorean theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this scenario, the tree height forms one side of a right triangle, the distance from the base of the tree to the acorn forms the second side, and the squirrel's glide path represents the hypotenuse.

Given:

Tree height (side a): 15 feet

Distance from the tree to the acorn (side b): 8 feet

Using the Pythagorean theorem:

c² = a² + b²

c² = 15² + 8²

c² = 225 + 64

c² = 289

c = √289

c = 17 feet

Therefore, the flying squirrel needs to glide 17 feet to reach the acorn.

A. Account owner's social security number

Step-by-step explanation:

A. Account owner's social security number - is not found on a check

The social security number is a 9 digit code given to the citizens of USA. This number is used to keep a track of a person's total working years and his total income in a lifetime, for general welfare purposes.

Hence, this is not found on a check.

The personal information that is present on a check are a person's name and address, account number and routing number. (routing number is a code for banks based on its location)

Juan drives a total of 297 miles if he travels from Waterton to Middleton, then to Oak Hill, and back to Waterton.

The student is asking to calculate the total number of miles driven by Juan starting from Waterton to Middleton, then from Middleton to Oak Hill, and then returning home to Waterton.

To find the total distance traveled by Juan, we simply need to add the individual distances of each leg of his trip.

By adding these distances, we get the total miles Juan drives:

Total miles driven = 76 + 87 + 134 = 297 miles

The y-value increases by 4 when the x-value increases by 2, so the slope is

... 4/2 = 2

Your equation for the line with slope m through point (h, k) is

... y - k = m(x - h)

and you have m = 2, (h, k) = (-6, 6)

Filling in those values gives

... y - 6 = 2(x - (-6))

The perimeter of the fountain = 94.2 ft

The area of the fountain = 628 ft²

Given:

Diameter of the semicircle = 20 ft

Therefore, Radius (r) = half of diameter = 10 ft

Radius of the quarter circle = 20 ft

Perimeter of the fountain = ½(2πr) + ½(2πr) + ¼(2πr)

Perimeter of the fountain = ½(2π(10)) + ½(2π(10)) + ¼(2π(20))

Perimeter of the fountain = 94.2 ft

Area of the fountain = 2(½(πr²)) + ¼(πr²)

Area of the fountain = 2(½(π10²)) + ¼(π20²)

Area of the fountain = 628 ft²

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