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2500 grams = 2.5 kilograms.

Remember:-

1000 grams = 1 kilogram.

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Answer:

12

then’

156

Step-by-step explanation:

hope it helps

Answer:

n = 2

Step-by-step explanation:

Simplifying

(n + 8) + (n + -12) = 0

Reorder the terms:

(8 + n) + (n + -12) = 0

Remove parenthesis around (8 + n)

8 + n + (n + -12) = 0

Reorder the terms:

8 + n + (-12 + n) = 0

Remove parenthesis around (-12 + n)

8 + n + -12 + n = 0

Reorder the terms:

8 + -12 + n + n = 0

Combine like terms: 8 + -12 = -4

-4 + n + n = 0

Combine like terms: n + n = 2n

-4 + 2n = 0

Solving

-4 + 2n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 2n = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 2n = 0 + 4

2n = 0 + 4

Combine like terms: 0 + 4 = 4

2n = 4

Divide each side by '2'.

n = 2

Simplifying

n = 2

The length of diagonal of the checkerboard is [tex]40\sqrt{2} cm[/tex].

The Pythagoras theorem can be applied to a right angle triangle. It states that the square of hypotenuse is equal to sum of square length of base and height of the triangle. Mathematically: Hypotenuse² = Perpendicular² + Base². The diagonal of a square divides the square in two right triangles.

The each side of a checkerboard measures 40 cm, that means checkerboard is a square. So, applying the Pythagoras theorem in the triangle formed by diagonal and two sides of square,

[tex]D^2=S^2+S^2\\D^2=40^2+40^2\\D=40\sqrt{2} cm[/tex]

Where D is the length of diagonal and S is the length of side of checkerboard.

Therefore, the length of the diagonal of checkerboard is [tex]40\sqrt{2} cm[/tex].

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Answer:

rotated about 180 degrees clockwise

Step-by-step explanation:

Triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

From the given graph, the vertices of triangle A are (1, -1), (1, -4) and (3, -4)

The given vector is (-3, 1).

Translate triangle A by a vector (-3,1) to give triangle B.

Then rotate your triangle B 180 degrees around the origin to give triangle C.

The following steps can be used to describe the transformation that maps triangle A onto triangle C:

Step 1 - Triangle A is given in the fourth quadrant.

Step 2 - Now, as per the given data translate triangle A by a vector (-3,1) which means the triangle shift in the negative x-axis by a factor of 3 and also shift downwards in the negative y-axis by a factor of 1.

The resulting triangle is in the third quadrant which is triangle B.

Step 3 - Now, rotate the triangle B by 180 degrees. So, the resulting triangle is triangle C which is in the first quadrant.

Therefore, triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.

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Answer:

2

Step-by-step explanation:

copy the proportion;

1 x

- = ----

8 16

16/8 = 2

1 x 2 = 2

The maximum profit is $923.44 which is gotten when 83 T shirts are produced.

Given the function:

Profit = Revenue - Cost

Profit (P) = 100x - (0.6x²+0.52x+3200)

P = -0.6x² + 99.48x - 3200

The maximum profit is at dP/dx = 0, hence:

dP/dx = -1.2x + 99.48

0 = -1.2x + 99.48

1.2x = 99.48

x = 82.9

x ≅ 83

The maximum profit is at x = 83, hence:

P = -0.6(83)² + 99.48(83) - 3200

P = 923.44

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Answer:

x > -3

Step-by-step explanation:

Answer:

x is greater than or equal to -3

Answer:

84 degrees

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Both the input and output are being increased by 1.

Answer:

500-410=

= 90

Step-by-step explanation:

your answer is c 90 miles per hour

Answer:

1. -1/3

2. (11,13) and (8,18)

3. -2

4. undefined

5. 60 miles per hour

Answer:

yes, it is correct. Why weren't you sure?

Answer:

b)7x²(x-4)(x+6)!!!!!!!!!!!!

Answer:

D)  7x²(x+4)(x-6)

Step-by-step explanation:

the greatest common factor of all 3 terms is 7x²

7x²(x² + 2x - 24)

now we can factor x² + 2x - 24 to be:

(x+4) (x-6)

-28.97 written as a mixed number is = -28 97/100

Answer:

-28 97/100

Step-by-step explanation:

-28 97/100 yea

A system of equations consists of at least two equations

The value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]

The equation is given as:

y = 2x - 4

The actual question is to solve for x.

So, we start by adding 4 to both sides of the equation

y +4 = 2x - 4 + 4

y +4 = 2x

Rewrite the equation as:

2x= y +4

Divide both sides of the equation by 2

[tex]\mathbf{\frac{2x}2 = \frac{y +4}2}[/tex]

Divide 2x by 2

[tex]\mathbf{x = \frac{y +4}2}[/tex]

Split the fraction

[tex]\mathbf{x = \frac{y}2 +\frac{4}2}[/tex]

Simplify

[tex]\mathbf{x = \frac{y}2 +2}[/tex]

Hence, the value of x is [tex]\mathbf{x = \frac{y}2 +2}[/tex]

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Step-by-step explanation:

the first one I think pls give me a brainliest

Step-by-step explanation:

5x + 2y = 6

m = -a/b

m = -5/2

Option → A

Answer:

Please mark as brainlest please

Answer:

Let’s let the unknown number be “x”

Now we can just plug it in

quotient of a number and 4

x/4

12 less then the quotient

(x/4)-12

Answer:

A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $32 per pair of shoes. The shoes ...

5 pages

Step-by-step explanation:

Answer:

  p : q : r = 3 : 18 : 2

Step-by-step explanation:

Given:

  p : q = (1/3) : 2

  p : r = (3/4) : (1/2)

Find:

  p : q : r

Solution:

We want to rewrite these ratios so they use the same number for p. We can do that by using the least common multiple of (1/3) and (3/4) for p. That value is 3.

  p : q = (9)(1/3) : (9)(2) = 3 : 18

  p : r = (4)(3/4) : (4)(1/2) = 3 : 2

Then the ratio of interest is ...

  p : q : r = 3 : 18 : 2

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Additional comment

We are not often asked to find the least common multiple of fractions or mixed numbers. One way to do it is to write the numbers using a common denominator, then find the LCM of the numerators, and reduce any resulting fraction.

  LCM(1/3, 3/4) = LCM(4/12, 9/12) = (1/12)·LCM(4, 9) = 36/12 = 3

__

As with integers, you also have ...

  LCM(1/3, 3/4) = product/GCD = (1/3)(3/4)/GCD(1/3, 3/4)

The greatest common divisor (GCD) will be the unit fraction with the least common denominator: 1/12, so this is ...

  LCM(1/3, 3/4) = (1/3)(3/4)/(1/12) = (3/12)/(1/12) = 3

Step-by-step explanation:

Answer is in the picture

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According to above statement ~

where,

so, let's plug the value of x as 4 hours to find y ( total money charged by the electrician )

that is ~

So, you owe a total of $ 109 to the electrician ~

The answer is 2! This was very easy for me to figure out, and I think it was easy for you to as well. But no shame if you need help!

Answer:

b on the time it takes to reach the bus stop

Answer:

One ordered pair would be (1, -6).

Step-by-step explanation:

Let x = 1, then

3(1) - y = 9

-y = 9 - 3 = 6

y = -6.

Answer:

Give a value to either x or y.

For example: if x=2,

3x-y=9

3*2-y=9

6-y=9

y=-3

(x,y) = (2,-3) an ordered pair

Step-by-step explanation:

Answer:

8. if he drove at a constant speed and made it 585 miles in 13 hours then first you 585/13 which gives you 45 miles an hour then you divide 810/45 to see how many hours that took and that would be 18 hours.

9. 1.20/8 is 0.15 and 0.15 times 17 is 2.55 then thats the cost of a 17 min call

Step-by-step explanation:

Answer:

This is for your online exam, neither why are you taking help from here, make it yourself