Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answer:

x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3

Step-by-step explanation:

Answer:

C. $152/day

Step-by-step explanation:

To find the cost per day, we have to divide the total cost by the number of days:

380/2.5 = 152

Note: 2 1/2 = 2.5

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Explanation:

Double everything in the second equation to go from x-y = 3 to 2x-2y = 6.

So we have this equivalent system of equations

[tex]\begin{cases}4x+2y = 6\\2x-2y=6\end{cases}[/tex]

We can then add straight down. The x terms add to 6x. The y terms go away because they add to 0. The stuff on the right hand sides add to 12.

After those three sets of addition operations, we have the new equation 6x = 12 which solves to x = 2 after dividing both sides by 6.

Now use x = 2 with any of the equations mentioned that have x,y involved so we can solve for y.

4x+2y = 6

4(2)+2y = 6

8+2y = 6

2y = 6-8

2y = -2

y = -2/2

y = -1

or we could say

x-y = 3

2-y = 3

-y = 3-2

-y = 1

y = -1

Either way, we get the same y value.

Since x = 2 and y = -1 pair up together, we get the ordered pair solution (x,y) = (2, -1). Therefore, the answer is choice D.

If you were to graph the two equations, as shown below, the two lines intersect at (2,-1). This point is on both lines at the same time. This is visual confirmation that the point is a solution to both equations. Though you should still algebraically check each original equation.

hopefully this helps!

Answer:

1/ 27

Step-by-step explanation:

[tex] = 81^{ \frac{-3}{4} } [/tex]

[tex] = (\frac{1}{81}) ^{ \frac{3}{4} } [/tex]

[tex] = (\frac{1}{3}) ^3 [/tex]

[tex] = \frac{1}{27} [/tex]

Answer:

12, 6

Step-by-step explanation:

we have two equations

x + y = 18 .... . (i)

and x = 2y .... .(ii)

substituting the value of x from eq. (ii) in eq. (i)

2y + y = 18

3y = 18

y = 6

putting this value if y in equation (ii) to get x

x = 2 × 6

= 12

therefore,

(12, 6) is the solution to the system of equations

Answer:

a/4x-3

Step-by-step explanation:

4 'x' box means: 4x, 3 '-' box means: -3

Answer:

a) 4x-3

I hope this helps have a great day

Answer:

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]

Let k be the constant . Therefore ,

[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]

When y = 1.5 and x = 8 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]

When x = 5 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]

Answer: 3.84

hope it helped!

Answer: the number is 3.

Step-by-step explanation:

(x × 10) + 6 = 36

[(3) × 10] + 6 = 36

Answer:

3

Step-by-step explanation

First let's create an equation

Let x = number

Product is outcome of multiplication

The product of 10 and a number can be written as 10x

Were supposed to add 6 to the product and that should equal 36

So the equation is 10x + 6 = 36

We now solve for x using basic algebra

10x + 6 = 36

Subtract 6 from both sides

10x = 30

Divide both sides by 10

X = 3

Answer:

180

Step-by-step explanation:

It is one gem per minute.

Answer:

m+a-1mn+m2+a-1np+n2n+a-mp+p2p8

Step-by-step explanation:

i just know sorry if this is wrong... :(

100-87.06=12.94

$13(nearest dollar)

$12.94(actual)

Answer:

10

Step-by-step explanation:

because rounding 87 its 90, so 100-10=90.

Answer:

a=360

b=168

Step-by-step explanation:

a=5×12×12/2=5×12×6=360

b=2×12×12×(12-5)/10×12=2×12×7=14×12=164

Answer: I think it is 12 divided by 7

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

[tex]\displaystyle \frac{1}{8}L=9[/tex]

Where L represents the total length of the ribbon.

Solve for the total length:

[tex]\displaystyle L=72\text{ inches}[/tex]

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

[tex](4x)+(5x)=63[/tex]

Solve for x:

[tex]9x=63\Rightarrow x=7[/tex]

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.

Answer: You could use a translation since the shape is maintaining its orientation and size. All it’s doing is moving to the right.

Answer:

Calculation: 3 1/2 - 4 1/7 - fraction calculator. ... How do you solve fractions step by step? ... to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

Answer: 288 √3

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13

Step-by-step explanation:

Answer:

1/42

Step-by-step explanation:

4/7 - 23/42 = 24/42 - 23/42 = 1/42

Answer:

Step-by-step explanation:

y=mx+b

y-intercept= 1

b=1

point (5,4)

x=5

y=4

y=mx+b

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5

Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent

Answer:

8/3 or 2.6666

Step-by-step explanation:

You have divided the first equation by 3 -- all except the 8. So you must divide the 8 by 3 giving you 8/3 which is 2 2/3 or 2.66666

Answer (x - 2y) = 8/3

x-2y=8/3 is the required expression.

3x - 6y = 8

x - 2y =?

equation is the interlink between variable and represented as y=mx+c

3x - 6y = 8

taking 3 common from above equation.
3(x-2y) = 8
x-2y = 8/3

Thus the required expression is x-2y = 8/3

Learn more about equation here:

brainly.com/question/10413253

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Answer:

3 or 3/1 (the 1 is the denominator)

Step-by-step explanation:

the shape got 3 times bigger. let me know

Answer:

PLZ MARK ME BRAINLIEST.  

Step-by-step explanation:

Number Of Students who go to School by Walk  = 27

Number Of Students who go to School by Bus  = 45

Ratio of Student who go to School by Walk :  Bus  = 27 : 45

=> Ratio of Student who go to School by Walk :  Bus  = 3 : 5

Hence Ratio of Student who walk to students who ride the Bus  is  3 : 5 is correct  -  True Statement

Number Of Students who go to School by Bike  = 21

Number Of Students who go to School by Walk  = 27

Ratio Bike : Walk = 21 : 27

=> Bike : Walk = 7 : 9

Hence for Every 7 Students who Bike there are 9 students who walk

=> For Every 7 Students who Bike there are 8 students who walk is not Correct

Answer:

your answer is C. -2/3

Step-by-step explanation:

In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself. In this case, -2/3 is the additive inverse of 2/3.

Answer:

Step-by-step explanation:

We are given:

      2

- ----------

    -13

Since a negative number (-2) divided by another negative number results in a positive number,

      2

  ----------

     13

Both Answers A and B are correct; the final value in each case is +2/13.

The equivalent expression will be (-2)/(-13) and-(-2/13) so option (A) and option (B) both will be correct.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole.

The denominator of a fraction is the numerical value that comes before the brings together various.

If we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator. For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.

Given that[tex]-\dfrac{2}{-13}[/tex]  now since the multiplication of - and - quantity is always positive so - and - is positive so it will be 2/13

If you take both options A  and B in both options the negative sign going to cancel and it will give a positive value.

Hence "The equivalent expression will be (-2)/(-13) and-(-2/13)".

For more about numerators and denominators https://brainly.com/question/19613319

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Answer:

32+78+x=180

Step-by-step explanation:

All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.

Answer:

32 + 78 + x = 180

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

32 + 78 + x = 180