The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?

3.844E5 kilometers
3.844 × 105 kilometers
3.844E-5 kilometers
3.844E-6 kilometers
3.844 × 106 kilometers
3.844E6 kilometers
3.844 × 10-6 kilometers
3.844 × 10-5 kilometers

Answer: 640

Step-by-step explanation:

You can break 16 up into 10 and 6: 40(10+6)

40(10)+40(6)

400+240

640

Final answer:

To solve 40x16, break apart the numbers into tens and use the distributive property to calculate the partial products, then sum up these products to get the final result of 640.

Explanation:

To solve 40x16 by breaking apart the numbers, you can use a strategy known as decomposing or partial products. Here's a step-by-step explanation:

Break apart the number 40 into 10s: 40 = 30 + 10.

Break apart the number 16 into 10s: 16 = 10 + 6.

Now use the distributive property to multiply each part:

(30 + 10) × (10 + 6)

Multiply each part individually: 30 x 10, 30 x 6, 10 x 10, and 10 x 6.

Calculate the partial products: 300, 180, 100, and 60.

Finally, add all the partial products: 300 + 180 + 100 + 60 = 640.

So, 40x16 equals 640 when you apply the breaking apart method.

using the multiplication property of equality to multiply both sides of the equation by 10

Step-by-step explanation:

Given equation is:

[tex]\frac{x+3}{2} = \frac{3x+5}{5}[/tex]

One method to solve this equation is cross-multiplication which the student has used.

One of the alternate method can be multiplying both sides by the LCM of numerators of fractions on both sides

So multiplying both sides by 10 (multiplication property of equality)

[tex]\frac{x+3}{2} * 10 = \frac{3x+5}{5} * 10\\5(x+3) = 2(3x+5)\\5x+15 = 6x+10\\5x+15-10 = 6x\\6x = 5x+5\\6x-5x = 5\\x = 5[/tex]

The alternate method of LCM produces the same answer so the correct answer is:

using the multiplication property of equality to multiply both sides of the equation by 10

Keywords: Linear equations, variables

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Answer:

using the multiplication property of equality to multiply both sides of the equation by 10

Step-by-step explanation:

Answer: B) Tutored Alexander The Great

Step-by-step explanation: k12 test 1.12, :)

Answer:

5

Step-by-step explanation:

G=20

20÷4=5

Hope this helps!

The height of tree is 32 meter

Solution:

Given that,  The sun is at an angle of elevation of 58 degree

A tree casts a shadow 20 meters long on  the ground

The sun, tree and shadow forms a right angled triangle

The figure is attached below

ABC is  a right angled triangle

AC is the height of tree

AB is the length of shadow

AB = 20 meters

Angle of elevation, angle B = 58 degree

By definition of tan,

[tex]tan \theta = \frac{opposite}{adjacent}[/tex]

In this right angled triangle ABC,

opposite = AC and adjacent = AB

Therefore,

[tex]tan\ 58 = \frac{AC}{AB}\\\\tan\ 58 = \frac{AC}{20}\\\\1.6 = \frac{AC}{20}\\\\AC = 1.6 \times 20\\\\AC = 32[/tex]

Thus height of tree is 32 meter

Final answer:

To determine the height of the tree using the angle of elevation of the sun and the shadow length, apply the tangent function. With an elevation of 58º and a shadow of 20 meters, the tree’s height is calculated to be approximately 33.94 meters.

Explanation:

To find the height of the tree given the angle of elevation of the sun and the length of the shadow it casts, we can make use of trigonometry. Specifically, we will use the tangent function, which relates the angle of elevation with the opposite side (the height of the tree) and the adjacent side (the length of the shadow).

Step-by-step solution:

Thus, the height of the tree is approximately 33.94 meters.

Answer:

(3f - 2)²

Step-by-step explanation:

Given

9f² - 12f + 4

Consider the factors of the product of the coefficient of the f² term and the constant term which sum to give the coefficient of the f- term.

product = 9 × 4 = 36 and sum = - 12

The factors are - 6 and - 6

Use these factors to split the f- term

9f² - 6t - 6t + 4 ( factor the first/second and third/fourth terms )

= 3f(3f - 2) - 2(3f - 2) ← factor out (3f - 2) from each term

= (3f - 2)(3f - 2)

= (3f - 2)²

Answer:

9f² - 12f + 4 = (3f - 2)²

Step-by-step explanation:

9f²-12f+4 =

= (3f)²-2×(3f)×(2)+2²

= (3f-2)²

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (9, -2) and (4, 2).

Substitute:

[tex]m=\dfrac{2-(-2)}{4-9}=\dfrac{2+2}{-5}=-\dfrac{4}{5}[/tex]

Put the value of a slope and coordinates of first or second point to the equation of a line:

[tex](9,\ -2),\ m=-\dfrac{4}{5}\\\\y-(-2)=-\dfrac{4}{5}(x-9)\\\\\boxed{y+2=-\dfrac{4}{5}(x-9)}\\\\(4,\ 2),\ m=-\dfrac{4}{5}\\\\y-2=-\dfrac{4}{5}(x-4)}[/tex]

Answer:

Step-by-step explanation:

3games cost38.97 so you have to divide 38.97divided by 3=12.99 so each game was 12.99 a game

To determine the cost of 1 game, set up an equation: 3n = $38.97. Divide both sides of the equation by 3 to isolate n. The cost of one game is $12.99.

To find the cost of one game, we can set up the equation 3n = $38.97based on the given information. where n represents the cost of one game. Since each game costs the same amount, we can write the equation:

3n = $38.97

Divide both sides of the equation by 3:

n = $38.97 / 3

Dividing both sides of the original equation by 3 is a way to undo the multiplication by 3 on the left side, thereby isolating the variable n.

When we perform this division, we find that n is equal to $12.99.

n = $12.99

Therefore, the cost of one game is $12.99.

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Answer:

U were 20% off

Ure estimate was 80%

Step-by-step explanation:

16/20 is 80%

100%-80% is 20%

Answer:

  24 minibites

Step-by-step explanation:

The cost of protein in the snack pack is ...

  $0.50/(4 g) = $0.125/g

The cost of protein in the minibites is ...

  $0.12/(1 g) = $0.120/g

Since the cost of protein is less for minibites, and the only criterion is the amount of protein, the lowest-cost snack mix is 24 minibites.

Answer:

24 minibites

Step-by-step explanation:hoped tt his helped

Answer:

86,475 people live in poverty.

Step-by-step explanation:

We are given that the Total Cincinnati population is [tex]X_{TOT}=301,305[/tex] people.

We want to find the [tex]28.7[/tex]% of the Total population that lives in poverty. To do so we can use:

[tex]X_{POV}=\frac{28.7}{100}X_{TOT}[/tex]

where [tex]X_{POV}[/tex] is the amount of people that live in poperty. Plugging in values and solving we have:

[tex]X_{POV}=\frac{28.7}{100}301,305 \\X_{POV}=0.287*301,305\\X_{POV}=86,474.535[/tex]

However since here we are referring to number of people (i.e. population) we can not accept any irrational values so we need to round up our value so that

[tex]X_{POV}=86,475[/tex] people live in poverty in Cincinnati.

To find how many people live in poverty in Cincinnati, multiply the city's total population by the given percentage (expressed as a decimal). In this case, it is 301,305 * 0.287, which equals 86,574. Thus, an estimated 86,574 people live in poverty in Cincinnati.

To find out how many people live in poverty in Cincinnati, you need to calculate 28.7% of the city's total population. To calculate the percentage of a number, you can multiply that number by the percentage expressed as a decimal. The calculation will look like this:

Population x Percentage = Number of people in poverty

So, it will be:

301,305 x 0.287 = 86,574.135

Normally in population estimates, we don't count fractions of people, so we'll round this down to the nearest whole number. Therefore, the number of people living in poverty in Cincinnati is approximately 86,574.

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Answer:

Step-by-step explanation:

5x+2y=9.......(1)

x+y= -3.........(2)

Making y as subject bin (2)

y = -3 - x

Substituting in (1)

5x + 2(-3 - x) = 9

5x - 6 - 2x = 9

3x = 9 + 6

3x = 15

x = 15/3

x = 5

And y = -3 - x

y = -3 - 5

y = -8

Answer:

The solution for the system of linear equations is x = 5, y = -8

Step-by-step explanation:

Let's solve the system of linear equations by substitution:

5x + 2y = 9

x + y = -3

Solving for x in the 1st equation, this way:

5x + 2y = 9

5x = 9 - 2y

x = (9 - 2y)/5

Substituting x in the 2nd equation:

x + y = -3

(9 - 2y)/5 + y = -3

9 - 2y + 5y = - 15 (Multiplying by 5 at both sides)

3y = - 15 - 9

y = -24/3

y = - 8

Substituting y in the 1st equation:

5x + 2y = 9

5x + 2 * - 8 = 9

5x - 16 = 9

5x = 25

x = 25/5 = 5

The solution for the system of linear equations is x = 5, y = -8

Step-by-step explanation:

All sides are congruent, therefore is an equilateral triangle.

It's also an isosceles acute triangle because two sides are congruent and all angles are acute.

It's also an isosceles triangle because two sides are congruent.

Answer:

A. 7

Step-by-step explanation:

my unit test review said the other persons answer was wrong and it said this was right so ya.

The length of one leg of the given triangle is 1 unit.

The square of the hypotenuse is equal to the sum of the squares of other two sides.

Given the following parameters;

Hypotenuse = √2

If the lengths of the other two sides are congruent, thus;

x² + x² = (√2)²

2x² = 2

x² = 2/2

x² = 1

x = 1

Hence, the length of one leg of the triangle is 1 unit.

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The ratio is 12:30 or if broken down 2:5

but the answer is 12 to 30 or 12:30

Answer:

The answer is D.

Step-by-step explanation:

There are 30 campers total. The ratio as a fraction is 18/30. If you reduce this, you get 3/5, or 3:5.

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

y = 1.125x is the equation to show the relationship between the number of euros and the value in dollars.

Given that On a recent day 8 euros were worth 9 dollars and 24 euros were worth 24 dollars

Let "y" be the value in dollars

Let "x" be the number of euros

We have to write a equation in form of y = kx

8 euros were worth 9 dollars

"k" is found as follows:

[tex]k = \frac{\text{value in dollars}}{\text{number of dollars}}[/tex]

[tex]k = \frac{9}{8}[/tex]

Therefore, equation of y = kx is given as:

[tex]y = \frac{9}{8}x[/tex]

[tex]y = 1.125x[/tex]

To check the equation, use the another given value

24 euros were worth $27

[tex]y = 1.125 \times 24\\\\y = 27[/tex]

Hence the equation y = 1.125x is correct    

The width of rectangle is [tex]2\frac{1}{4}\ cm[/tex] and length is [tex]5\frac{5}{12}\ cm[/tex]

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+[tex]3\frac{1}{6}=w+\frac{19}{6}[/tex]

Perimeter of rectangle = [tex]15\frac{1}{3}=\frac{46}{3}\ cm[/tex]

Perimeter of rectangle = 2(Length + Width)

[tex]2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}[/tex]

Subtracting [tex]\frac{19}{3}[/tex] from both sides

[tex]4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9[/tex]

Dividing both sides by 4

[tex]\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}[/tex]

Therefore,

Width of rectangle = w = [tex]\frac{9}{4}=2\frac{1}{4}[/tex] cm

Length of rectangle = [tex]w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm[/tex]

The width of rectangle is [tex]2\frac{1}{4}\ cm[/tex] and length is [tex]5\frac{5}{12}\ cm[/tex]

Keywords: perimeter, addition

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Answer:

12x^2 + 30x + 12

Step-by-step explanation:

Expand the equation using FOIL (First Outside Inside Last)

Hope this helps! :]

Answer:

To solve this inequality you need to get m by itself

3m+10<30 (First subtract 10 from each side)

3m<20 (10-10=0, 30-10=20) (Then divide each side by 3)

m< 20/3 or 6.666666

So your answer is any that is less than 6.66666

Your answer would be 5

5

Hope this helps ;)

Answer:

9 cups per bag

Step-by-step explanation:

1/12 bag = 3/4 cup

12/12 bag = ? cup

1/12 × 12 = 12/12

3/4 × 12 = 36/4

36/4 = 9

Answer: 9 cups per bag

Step-by-step explanation: Apply the division rule of fractions: multiply the numerator by the reciprocal of the denominator.

3/4

1/12

=

3/4

×

12/1

=

36/4 = 9 cups per bag

Answer:

Problem Recognition Stage (the first stage)

Explanation:

The "Consumer Buying Decision Process" consists of 5 stages. These are: Problem Recognition, Information Search, Evaluation of Alternatives, Purchase Decision and Post-Purchase Evaluation. This information is commonly used by marketing businesses in order to know the habit or behavior of people upon buying goods and services.

Olivia's situation above is in the "Problem Recognition" stage. This is the first stage of the process. She realizes that she needs the winter boots because of the cool weather and thus, she realizes that she has a need or a problem that she wanted to solve. Buyers recognize this problem as a gap in their needs, thus they want to fill it immediately once they recognize it. This will be followed by "Information Search," a time whereby she'll consider some options in buying boots.

Thus, this explains the answer.

Answer:

O B. y = -2x+6

Step-by-step explanation:

Answer:

(8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16

Step-by-step explanation:

To find the set of even integers from 8 to 16 as below :

There are 8,10,12,14,16 even integers in between the numbers 8 and 16

Therefore (8, 10, 12, 14, 16) is the set which describes the set of even integers from 8 to 16

The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Solution:

Given system of equations are:

x - 4y = 6 ------- eqn 1

3x + y = -8 ------------ eqn 2

Given ordered pair is (-3, 1)

We have to check if the options are true

Let us substitute (x, y) = (-3, 1) in eqn 1

[tex]-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6[/tex]

Thus the given ordered pair (-3, 1) did not satisfy the first equation

Substitute (x, y) = (-3, 1) in eqn 2

[tex]3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8[/tex]

Thus the given ordered pair (-3, 1) satisfied the second equation

But for a ordered pair to be a solution to system of equations, it must satisfy both the equations

Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false

Answer:

Step-by-step explanation:

Let angle Q = x°

Angle P = (2x - 3)°

And angle P and Q are supplementary angle which implies there sum is 180°

x + 2x - 3 = 180

3x = 180 + 3

3x = 183

x = 183/3

x = 61°

Angle Q = 61°

Angle P = 2x - 3

Angle P = 2(61) - 3

Angle P = 122 - 3

Angle P = 119°

Answer: D. -40x^3 + 25x^2 + 45x

Step-by-step explanation:

-5x(8x^2 - 5x - 9)

-40x^3 + 25x^2 + 45x

Answer:

f ( 4 ) = 18

Step-by-step explanation:

Explanation:

f ( x ) = 5 x − 2

Replace  4  instead of  x  to find  f ( 4 )

f ( 4 ) = 5 ( 4 ) − 2 = 20 − 2 = 18

The value of f(-4) for the function f(x) = x^2 - 5x + 2 is 38.

To find the value of f(-4) for the function f(x) = x^2 - 5x + 2, you substitute -4 for x in the function.

It looks like this:

f(-4) = (-4)^2 - 5(-4) + 2

First, you square -4, which is (-4)^2 = 16.

Then, you calculate -5 times -4, which is 20.

Finally, you add 2 to the result.

So, f(-4) is equal to:

f(-4) = 16 - 20 + 2 = 38

The final answer is 38.

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