How many times greater is 1 kilogram than 1 microgram?

Answer:

The distance is [tex]\sqrt{68} =2\sqrt{17}[/tex]

Step-by-step explanation:

Locating the points on the plane we can form a right triangle between them and solve the problem using the Pythagorean theorem.

*see attached image*

The sides of the triangle formed measure 8 and 2, so by pythagoras, the unknow side [tex]x[/tex] wich is the distance between the houses is:

[tex]x^2=8^2+2^2\\x^2=64+4\\x^2=68\\x=\sqrt{68}=\sqrt{4*17}=2\sqrt{17}[/tex]

So the distance, on the grid, between Joe’s house and Andy’s house is [tex]2\sqrt{17}[/tex]

To subtract polynomials, align the terms and subtract their corresponding coefficients.

Subtracting polynomials involves subtracting the corresponding terms from each other. Start by aligning the like terms and then subtract their coefficients. If there are any terms that cannot be simplified further, leave them as they are in the final answer. For example, if we have (3x^2 + 2x - 5) - (2x^2 - 3x + 4), we align the terms and subtract them to get (3x^2 - 2x^2) + (2x + 3x) + (-5 - 4) = x^2 + 5x - 9.

Answer:

c

Step-by-step explanation:

102 people purchased a car from Force Motor Company

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The number of people who purchased a new car from Force Motor Company is 170% of the number of people who purchased a new car from Ampere Motors.

If 60 people purchased a car from Ampere Motors, then we need to find number of people who purchased a car from Force Motor Company.

We will find it by

170%×60

170/100×60

1.7×60

102

Hence 102 people purchased a car from Force Motor Company

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Answer:

Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.

Step-by-step explanation:

To find : Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex]?

Solution :

Writing numbers into simpler forms,

[tex]9\frac{4}{9}=\frac{85}{9}\approx 9.44..[/tex]

[tex]\sqrt{144}=12[/tex]

So, The number between 9.44.. and 12.

i.e. [tex]9.44..<x<12[/tex]

Whole number is defined as a number without fractions or decimal.

Between 9 and 12 the whole numbers are 10 and 11.

Therefore, Whole number between [tex]9\frac{4}{9}[/tex] and [tex]\sqrt{144}[/tex] are 10 and 11.

store 1 has 12 for 3.30

3.30/12 = 0.275 each

 Store 2 has 15 for 3.50

3.50/15 = 0.233 each

 Store 2 has the better deal

Answer:

store 2

Step-by-step explanation:

To write a quadratic equation from a parabola and a chart, you can use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. Substitute the coordinates of two points on the parabola into the equation and solve for the unknown variables. Once you have the values, substitute them back into the equation to obtain the final quadratic equation.

To write a quadratic equation from a parabola and a chart, you will need to use the vertex form of a quadratic equation which is y = a(x - h)^2 + k. In this form, (h,k) represents the coordinates of the vertex of the parabola.

The equation can be determined from the chart by finding two points on the parabola and substituting their coordinates into the equation.

Here are the step-by-step instructions:

Answer:

The midpoint of HK is (-4, 1)

Step-by-step explanation:

We are given two coordinates H(-1, 2) and K(-7, -4)

We need to find the midpoint of HK.

We have formula to find the midpoint.

[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} }[/tex]

Here [tex]x_1 = -1, y_1 = 2, x_2 = -7 and y_2 = -4[/tex]

Now plug in these values in the above formula, we get

[tex](\frac{-1 + (-7)}{2} , \frac{2 +(-4)}{2} )[/tex]

[tex](\frac{-8}{2}, \frac{-2}{2}  ) =  (-4, -1)[/tex]

So, the midpoint of HK is (-4, 1)

She needs 33 cups of water for 11 cups of macaroni.

Unitary method is a technique for first determining the value of a single unit and then deriving the values of any given unit from it.

According to the given question Anna is making macaroni for cousin's birthday party for every 3 cups of macaroni she needs to use 9 cups of water.

∴ For 1 cup of macaroni she needs 9/3 cups of water which is equal to 3 cups.

So, For 11 cups of macaroni she needs (11×3) = 33 cups of water.

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Answer:

x+y=20

4x+8y=100

x=-2y+25

x=-y+20

-2y+25=-y+20

-y=-5

y=5

x=15

There are 15 true/false questions and 5 multiple choice questions

Answer:

ST= 6 unit and SU = 12 unit

Step-by-step explanation:

Here, S, T, and U are all on the same line,

Also, T is between S and U,

Such that ST = TU

Here, ST = x+3 and TU = 4x-6,

⇒ x + 3 = 4x - 6

Subtracting 3 on both sides,

⇒ x = 4x - 9

Subtracting 4x on both sides,

⇒ -3x = -9

Divide both sides by -3,

⇒ x = 3

Hence, ST = 3 + 3 = 6,

And, SU = ST + TU = ST + ST = 2 ST = 2(6) = 12

This situation is described by the image below, where we can see that:

Points S, T, and U are colinear points.

Point T is the midpoint of the segment SU.

This means that:

ST = TU

We also know that:

ST = x + 3

TU = 4x - 6

Then we can write:

ST = x + 3 = 4x - 6 = TU

x + 3 = 4x - 6

3 + 6 = 4x - x

9 = 3x

9/3 = x = 3

Now that we know the value of x we can replace it in the equations of ST and TU

ST = x + 3 = 3 + 3 = 6

TU = 4x - 6 = 4×3 - 6 = 6

And T is a point between S and U, this means that:

SU = ST + TU = 6 + 6 = 12

SU = 12

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Answer:

0.29

Step-by-step explanation:

Final answer:

To find the unit price of tangerines Jin bought, divide the total cost of $3.48 by 12. This gives a unit price of $0.29 per tangerine.

Explanation:

To find the unit price of the tangerines that Jin purchased, you need to divide the total cost by the number of tangerines.

Jin paid $3.48 for a bag of 12 tangerines. Therefore, to calculate the price per tangerine, use the following equation:

Unit Price = Total Cost / Number of Units

Unit Price = $3.48 / 12 tangerines

Unit Price = $0.29 per tangerine

If necessary to round to the nearest cent, the unit price remains $0.29 since it is already at the cent level.

Final answer:

The dimensions of the flat-screen television with an area of 1500 square inches are approximately 38 inches in width and 39 inches in length.

Explanation:

To find the dimensions of a flat-screen television with an area of 1500 square inches and a length that is 1 inch more than its width, we can set up a quadratic equation. Let the width be w inches, then the length would be w + 1 inches. The area of the television's screen is given by the formula:

Area = width × length

Substituting the given values, we get:

1500 = w × (w + 1)

This simplifies to:

w² + w - 1500 = 0

Solving this quadratic equation, we find two potential solutions for w, but only the positive value makes sense in this context. Once we find the value of w, the width, we can then add 1 to get the length.

After calculating, we find that the width w is approximately 38 inches, and the length is approximately 39 inches. Therefore, the dimensions of the television are 38 inches by 39 inches to the nearest whole inch.

Final answer:

A 21 cm tall candle should burn for 12 hours, as it is 1.5 times taller than a 14 cm candle which burns for 8 hours.

Explanation:

The problem is one of direct proportion where the height of the candles is directly proportional to the burning time. If a 14 cm tall candle burns for 8 hours, then a 21 cm tall candle, which is 1.5 times taller, should burn for 1.5 times longer. Hence, to calculate the burning time for the 21 cm candle, we multiply 8 hours by 1.5.

Calculation:

21 cm / 14 cm = 1.5

8 hours × 1.5 = 12 hours

Therefore, a 21 cm tall candle should burn for 12 hours.