If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.

Answer:

is the amount of space it occupied 18

59.99 - 59.99 x saving rate = 42.89

with saving rate = r%

59.99 - 59.99 x r% = 42.89

so 59,99 ( 1 - r%) = 42.89

1 - r% = 42.89 : 59.99

1 - r% = 0,7150

r% = 1 - 0,7150

r = 28,5%

Answer:  = 2(7 + 3) ^2= 2 * 10^2= 200

Answer:i took the test and this was my answer. goodluck mate :)

Step-by-step explanation:

Answer:

180 miles

Step-by-step explanation:

Base rate

5 gallons

Answer:

180

Step-by-step explanation:

288:8=36 means with 1 gallon can drive 36 km

5 gallon used last week so 5*36 =180 km

Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

Answer:

8 hours.

Step-by-step explanation:

80 = 12 + 8.5t    where t is the time rented in hours

8.5t = 80 - 12 = 68

t = 68/8.5

=  8 hours.

Step-by-step explanation:

cos(81) = x/sqrt(7)

x = sqrt(7)×cos(81) = 0.413886691...

Answer:

45 guests = $1,625

90 guests = $2,750

Step-by-step explanation:

(25*45)+500= 1,625

(25*90)+500=2,750

Answer:

-2 ≤ x < 8

Step-by-step explanation:

Shaded in circle above the number means greater/less than or equal to.

In this instance, -2

Non-shaded in circle above the number means greater/less than.

In this instance, 8

The line between the two circles is where any number (x) could be.

Between -2 and 8, so -2 ≤ x < 8

The value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

It is given that the [tex]\rm log_7343[/tex]

It is required to find the value of  [tex]\rm log_7343[/tex]

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have  [tex]\rm log_7343[/tex]

We know the logarithm properties that:

[tex]\rm log_ac^n = n\times log_ac[/tex]

[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]

We can write [tex]\rm log_7343[/tex] as

= [tex]\rm log_77^3[/tex]   (∵ 343 = [tex]7^3[/tex])

= [tex]\rm 3log_77[/tex]    [tex]\rm (log_ac^n = n\times log_ac)[/tex]

= 3            [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]

Thus, the value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

Learn more about the logarithm here:

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Answer:

D

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

In order to solve this problem, you would have to plug-in 4 in letter c.

So the equation would go from:

c² + 6c - 6 to

(4)² + 6(4) - 6

4 to the square power is 16

6 times 4 is 24

So you would write this equation next
16 + 24 - 6

after adding and subtracting you should get 34 as your final answer.

Hope this helps!

SIDE NOTE: REMEMBER TO FOLLOW THE RULES OF PEMDAS WHEN ANSWERING THESE PROBLEMS!

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

34

Step-by-step explanation:

In order to solve the equation, all you would have to do is substitute your answer by the number given. It would look something like this:

(4)^2+6(4)-6

Remember to follow PEMDAS when solving it.

(4)^2 --> 4*4=16

6(4)=24

16+24-6=34

So, your final answer would be 34.

Answer:

Step-by-step explanation:

as i think it is triangle which means the sum of interior angle 180

14x+13+4x+13+6x+2=180

24x+28=180

24x=152

x=6.2

Answer:

849in 2

Step-by-step explanation:

sally needs to wrap a birthday gift.

the surface area of the gift is 894 in 2.

the formula for surface area of a rectangular prism is S = 2(lw + lh + wh).

to use the formula . i added (lw + lh+ wh) then multiplied it by 2 . so sally will need 894in2 of wrapping paper for the gift.

Answer:

The answer to your question is C D=1

Step-by-step explanation:

i'm new to brainly but I'm also really smart in math have a nice day glad to help

Answer:

The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.

Step-by-step explanation:

To solve this equation first you expand:

14x - 6 = 9

Then solve from there:

14x = 15

x = 15/14

Hey there!

Use the distributive property and distribute 2:

2(7x-3)=9

14x-6=9

Now, add 6 to both sides (remember the golden rule of algebra)

14x=15

divide both sides by 14

x=15/14 (improper fraction)

x=1+1/14 (mixed number)

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

its 54

Step-by-step explanation:

i got it right on time4learning

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

To learn more about the function refer to the link;

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Answer:

A) y = -4sin(x)

Step-by-step explanation:

Just took the quiz on edge 2022

Answer:

D

Step-by-step explanation:

Answer: One if any.

-x = x - 10                  Add x to both sides

-x+x = x + x - 10          Combine

0 = 2x - 10                   Add 10 to both sides

10 = 2x - 10+10            Combine

10 = 2x                         Divide by 2

10/2=2x/2

x = 5

Definite Answer: One Solution

Answer:56Step-by-step explanation:7k²=21952

k²=21952/7

k²=3136

k=√3136

k=56

PLS MARK ME AS BRAINLIEST

Answer:

The answer is y squared over 12 minus x squared over 24 equals 1

Step-by-step explanation:

Answer:

10,000 ★ soz if im wrong

Step-by-step explanation:

I hope the best

Answer:

10,000kg

Step-by-step explanation:

200 bags

1bag=50,000g

200bags=?

cross multipy

200bags x 50,000g

---------------------------

1bag

=10 000 000grams

1000g=1kg

10,000,000g

10,000,000/1000

=10,000kg

brainiest please

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

[tex](0,7),(-13,-97)[/tex]

Equation Form:

[tex]x=0,y=7\\x=-13,y=-97[/tex]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(8*x+7)=0

Equation of a Straight Line

Solve   y-8x-7  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.'

n this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-8x-7  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-8 Our line therefore "cuts" the x axis at x=-0.87500

 x-intercept = 7/-8  = -0.87500

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 23.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 23.000 - 7.000 = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 16.000/2.000 =  8.000

Geometric figure: Straight Line

 Slope = 16.000/2.000 = 8.000

 x-intercept = 7/-8 = -0.87500

 y-intercept = 7/1 = 7.00000

Pull out like factors :

  -x2 - 5x - 7  =   -1 • (x2 + 5x + 7)

Trying to factor by splitting the middle term

2.2     Factoring  x2 + 5x + 7

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +7

Step-1 : Multiply the coefficient of the first term by the constant   1 • 7 = 7

Step-2 : Find two factors of  7  whose sum equals the coefficient of the middle term, which is   5 .

     -7    +    -1    =    -8

     -1    +    -7    =    -8

     1    +    7    =    8

     7    +    1    =    8

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Find the Vertex of   y = -x2-5x-7

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens down and accordingly has a highest point (AKA absolute maximum) .    We know this even before plotting  "y"  because the coefficient of the first term, -1 , is negative (smaller than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -2.5000  

Plugging into the parabola formula  -2.5000  for  x  we can calculate the  y -coordinate :

 y = -1.0 * -2.50 * -2.50 - 5.0 * -2.50 - 7.0

or   y = -0.750

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = -x2-5x-7

Axis of Symmetry (dashed)  {x}={-2.50}

Vertex at  {x,y} = {-2.50,-0.75}

Function has no real roots

Solve Quadratic Equation by Completing The Square

3.2     Solving   -x2-5x-7 = 0 by Completing The Square .

Multiply both sides of the equation by  (-1)  to obtain positive coefficient for the first term:

x2+5x+7 = 0  Subtract  7  from both side of the equation :

  x2+5x = -7

Now the clever bit: Take the coefficient of  x , which is  5 , divide by two, giving  5/2 , and finally square it giving  25/4

Add  25/4  to both sides of the equation :

 On the right hand side we have :

  -7  +  25/4    or,  (-7/1)+(25/4)

 The common denominator of the two fractions is  4   Adding  (-28/4)+(25/4)  gives  -3/4

 So adding to both sides we finally get :

  x2+5x+(25/4) = -3/4

Adding  25/4  has completed the left hand side into a perfect square :

  x2+5x+(25/4)  =

  (x+(5/2)) • (x+(5/2))  =

 (x+(5/2))2

Things which are equal to the same thing are also equal to one another. Since

  x2+5x+(25/4) = -3/4 and

  x2+5x+(25/4) = (x+(5/2))2

then, according to the law of transitivity,

  (x+(5/2))2 = -3/4

We'll refer to this Equation as  Eq. #3.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+(5/2))2   is

  (x+(5/2))2/2 =

 (x+(5/2))1 =

  x+(5/2)

Answer:

1. 5 dimes

Step-by-step explanation:

5 dimes

Two quarters is $0.50.

1. 5 dimes = 5 * $0.10 = $0.50

2. 5 dimes + 1 nickel = 5 * $0.10 + $0.05 = $0.55

3. 4 dimes = 4 * $0.10 = $0.40

5. 4 dimes + 1 nickel = 4 * $0.10 + $0.05 = $0.45

The only amount of money that's equal to $0.50 is 1. 5 dimes

Answer:

Simple

65 miles per hour on average

Step-by-step explanation:

You add 60 to 70 and then you divide them by 2

Which is

60 + 70 = 130

130 ÷ 2 = 65

The average speed Ethan will be 65 miles per hour on average.

The speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

That Ethan drove the first half of his trip's distance at an average rate of 60 miles per hour, and the second half at an average rate of 70 miles per hour.

The average speed will be calculated as,

60 + 70 = 130

130 ÷ 2 = 65 miles per hour

Therefore, the average speed Ethan will be 65 miles per hour on average.

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Answer:

I believe the answer is C.

[tex] \sqrt{35} [/tex]

Answer:

x = 11

Step-by-step explanation:

Given:

⇒ total number of cabbages = 14 + x

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

[tex]\sf \implies P(W)=\dfrac{number \ of \ white \ cabbages}{total \ number \ of \ cabbages}[/tex]

[tex]\sf \implies 0.56=\dfrac{14}{14+x}[/tex]

[tex]\sf \implies 0.56(14+x)=14[/tex]

[tex]\sf \implies 7.84+0.56x=14[/tex]

[tex]\sf \implies 0.56x=6.16[/tex]

[tex]\sf \implies x=11[/tex]

Answer:

Insured person pays $1,000; insurance company pays $6,000

Step-by-step explanation:

Both parties pay $9000.

PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.

Policy has a deductible of $1,000 and a coverage limit of $15,000.

Tirere are personal property losses of $7,000 for a covered event

Based on the given conditions, formulate

= 1000 + 15000 - 7000

= 16000 - 7000

= 9000

Both parties pay $9000.

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Answer:

x is 75° ........................

Answer:

It was rotated D. -180 degrees

Step-by-step explanation:

the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)