The area of a rectangle is 54x^9y^8 square yards. If the length of the rectangle is 6x^3y^4 yards, which expression represents the width of the rectangle in yards?

60x^12y^12
9x^3y^2
9x^6y^4
48x^6y^4

Answer:

The solution of  [tex]y = \frac{1}{2} x + 3[/tex]   and  [tex]y = -\frac{2}{3} x - 5[/tex]  is (-6.857, -0.429)

Step-by-step explanation:

The solution of y = 1/2 x  + 3 and y = -2/3 x -5

is (-6.857, -0.429) . The solution is shown in the graph attached.

Answer:

4 units

Step-by-step explanation:

Distance formula:

[tex] \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

[tex]length \: of \: line \: xy \\ = \sqrt{(3 - 3 )^{2} + (1 - ( - 3))^{2} } \\ = \sqrt{(1 + 3)^{2} } \\ \ = \sqrt{4^{2} } \\ = 4 \: units[/tex]

Or since both coordinates lie at x=3, the line is a vertical line so you can simply count the increase in y to find the distance of the line.

1-(-3)= 4 units

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 15 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 15/1

=> y= 15 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

15 > 11.5

which means Jeremy rides at a greater speed.  

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Answer:

whats the equation???

Step-by-step explanation:

Answer:

Step-by-step explanation:

203 miles in 3.5 hrs....and 243 miles in 4.5 hrs

totaling : (203 + 243) miles in (3.5 + 4.5) hrs = 446 miles in 8 hrs

speed = distance / time

speed = 446 / 8

speed = 55.75 mph <==

Answer:

The percent in increase is 18%.

Step-by-step explanation:

Given:

The price of gasoline rose from $2.45 in May to $2.89 in August.

Now, to find the percent of increase.

The price of gasoline in May = $2.45.

The price of gasoline in August = $2.89.

So, we get the price of increase:

[tex]2.89-2.45=\$0.44.[/tex]

Now, to get the percent increase:

[tex]\frac{0.44}{2.45} \times 100[/tex]

[tex]=0.179\times 100[/tex]

[tex]=17.9\%.[/tex]

The increase in percent nearest to whole = 18%.

Therefore, the percent in increase is 18%.

To find the percent increase in gasoline prices, you subtract the initial price from the final price, divide this difference by the initial price, and then multiply by 100 to get a percentage. In this case, the increase in price was about 18%.

The first step to finding the percent of increase in the price is to subtract the initial price from the final price. So, $2.89 - $2.45 equals $0.44. This is the amount of the increase in price. Then, to find the percentage of this increase, we divide the increase by the initial price, and multiply by 100 to convert it into a percentage. So, ($0.44 / $2.45) * 100 equals about 18%. So the percent of increase in the price of gas from May to August is 18%.

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Answer:

A. 2x/3

Step-by-step explanation:

4xsqrt5-2xsqrt5/3sqrt5

4x-2xsqrt5/3sqrt5

2xsqrt5/3sqrt5

2x/3

Answer:

not too sure sorry :(

Step-by-step explanation:

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. [beep] A single lap should be completed each time you hear this sound. [ding] Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, start.

Answer:

The ordered pair (6,3) can not be a solution for the problem situation.

Step-by-step explanation:

Marcus has total 50 tokens to spend at the carnival.

Now, given that the Ferris wheel costs 7 tokens and  the carousel costs 5 tokens.

So, if Marcus play the Ferris wheel for x times and the carousel for y times, the total expenditure will be given by

7x + 5y = 50 ............ (1)

Now, the ordered pair (6,3) i.e. x = 6 and y = 3 does not satisfy the above relation equation (1).

So, the ordered pair (6,3) can not be a solution for the problem situation. (Answer)

Answer:

Option $152.19

Step-by-step explanation:

Data provided in the question:

Previous balance = $152.35

Finance charge = $1.78

New purchases of $45.23 and $15.67

Payment = $50.00

Credit = $12.84

Now,

New Balance

= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]

= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]

= $215.03 - $62.84

= $152.19

Hence,

Option $152.19

Answer:

  a linear equation with a solution of m = 7

Step-by-step explanation:

The equation is a linear equation in m.

Perhaps you want the value of m that is the solution to the equation.

  10m -6m +27 = 9m -9 +1 . . . . . eliminate parentheses

  4m +27 = 9m -8 . . . . . . . . . . . . collect terms

  35 = 5m . . . . . . . . . . . . . . . . . .  add 8-4m to both sides

  7 = m . . . . . . . . .  divide by the coefficient of m

The solution is m = 7.

Answer:

          [tex]\large\boxed{-7\text{ }dollars\text{ }per\text{ }hour}[/tex]

Explanation:

The average rate of change is the ratio of the change in the dependent variable (Money Earned) to the change in the independent variable (Hour).

Thus, the average rate of change for the data from the 5th hour to the 8th hour is calculated using the points (5, 96) and (8, 75) from the graph. This is, what happens in the middle does not affect the average rate of change.

          [tex]Rate\text{ }of\text{ }change=(\$75-\$96)/(8hour-5hour)[/tex]

          [tex]Rate\text{ }of\text{ }change=(-\$21)/(3hour)=-7\text{ }dollars\text{ }per\text{ }hour[/tex]

Answer:

−7 dollars per hour per hour

Step-by-step explanation:

took test

Answer:

131.04

Step-by-step explanation:

I did it and got it right.

Tommy have to pay $133.2

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Price of book = $180

Discount= 30% off

and, tax = 4%

So, the total discount will be = 30- 4= 26%

Then, price after 26% discount

= 180 - 26% of 180

= 180 - 46.8

= 133.2

Hence, Tommy have to pay $133.2

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The circumference will be doubled if radius is doubled

The area will increase four times if radius is doubled

Step-by-step explanation:

We will solve the question in two parts.

One for circumference and one for Area

Circumference:

The formula for circumference is given by:

[tex]C = 2\pi r[/tex]

Here r is the radius.

Doubling the radius means that new radius will be 2r

The new circumference will be:

[tex]C_N = 2\pi (2r)\\C_N = 2(2\pi r)\\C_N = 2C[/tex]

Hence,

The circumference will be doubled if radius is doubled

Area:

The area of circle is given by:

[tex]A = \pi r^2[/tex]

Putting radius equal to 2r

[tex]A_N = \pi (2r)^2\\A_N = \pi (4r^2)\\A_N = 4(\pi r^2)\\A_N = 4A[/tex]

Hence,

The area will increase four times if radius is doubled

Keywords: Circle, area

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Answer: Hat: £3 Scarf: £1.50

Step-by-step explanation:

hope this helps

The cost of a hat is £2 and the cost of a scarf is £1.5, obtained by solving the system of simultaneous equations representing the cost relationships.

To solve this problem, you need to use a method called simultaneous equations. We denote the cost of a hat as 'h' and the cost of a scarf as 's'.

Then, we write down two equations based on the problem:

From Equation 1, we express 'h' as (12 - 2s) / 3. Substituting this into Equation 2 leaves us with a sole variable 's', after calculating this equation, you obtain s = 1.5, Substituting s into the first equation, we get h = 2. So, the cost of a hat is £2 and the cost of a scarf is £1.5.

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Answer:

120

Step-by-step explanation:

Because it is lol

120

The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1.

In the words TIGER there are 5 letters T,I,G,E,R.

The number of unique ways are there to arrange the letters in the word TIGER=5!=5*4*3*2*1=120.

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Answer:

x = 5

Step-by-step explanation:

1. 8 (x + 2) = 56                 Distribute the 8

2. 8x + 16 = 56              Subtract 16 from both sides

3. 8x = 40                      Divide both sides by 8

4. x = 5

In both DNA and RNA, pairs are formed between cytosine and guanine. In DNA, adenine pairs with thymine, but in RNA it pairs with uracil.

So the corresponding mRNA strand would be

C. UCG CGA

Answer:

UCG CGA

Step-by-step explanation:

Answer:

B) GREATEST POSSIBLE PROBABILITY in any experiment is 1.

Step-by-step explanation:

The probability of any event E is given as:

[tex]\textrm{Probability of any event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}}[/tex]

Let us assume the the number of TOTAL OUTCOMES of any event E  = n

Now, if the event is a SURE EVENT, then all outcomes are favorable events.

So, the total number of maximum  favorable events   = n

[tex]\textrm{Probability of event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}} = \frac{n}{n} = 1[/tex]

Hence, the GREATEST POSSIBLE PROBABILITY in any experiment is 1.

Answer:

60

Step-by-step explanation:

2of the 250mg pills 3times a day=6 pills a day for 10 days = 60 pills

Answer:

[tex]f(5)=2.048*10^{-7}[/tex]

Step-by-step explanation:

We have that [tex]f(x)=2x^{-10}[/tex], we want to find [tex]f(5)[/tex].

We can rewrite this function with positive index to get:

[tex]f(x)=\frac{2}{x^{10}}[/tex]

We need to substitute [tex]x=5[/tex] into the given function to get:

[tex]f(5)=\frac{2}{5^{10}}[/tex]

This implies that:

[tex]f(5)=\frac{2}{9765625}[/tex]

In scientific notation:

[tex]f(5)=2.048*10^{-7}[/tex]

Answer:help with mine ples

Step-by-step explanation: beause i need it orther wise i fail

Answer: 3600

Step-by-step explanation:

Lateral surface area is given as the area of all sides of a figure excluding the area of the base where as surface area is the sum of the areas of all faces of the solid.

Step-by-step explanation:

Lateral surface area is given as the area of all sides of a figure excluding the area of the base where as surface area is the sum of the areas of all faces of the solid.

If given total surface area, you can find lateral surface area by subtracting the area of the base from the surface area of the solid.

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Keywords : difference, lateral,surface area,total surface area

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Lateral surface area refers to the area of the sides only, while total surface area includes the area of all faces. To compute the lateral surface area from the total surface area, subtract the areas of the bases. This process isolates the lateral surface area.

The difference between lateral and surface area is critical in understanding geometric shapes. In contrast, the total surface area includes the area of all the faces, including the bases. For example, in a cylinder, the lateral surface area is the area of the side rolled out into a rectangle, while the total surface area includes the areas of the upper and lower two circular bases.

If you are given the total surface area of a cylinder and need to determine the lateral surface area, you can use the following steps:

Answer:

x=98,217

Step-by-step explanation:

936 + 97281 = x

x=98217

Answer:

936 + 97281 = 98,217‬

x = 98,217‬

You just need to add to find x

The equation is c = 1.45 n

Total cost of 25 songs is $36.25

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ The cost of downloaded one digital song is $1.45

∵ The cost of downloaded two digital song is $2.90

∵ The cost of downloaded five digital song is $7.25

- There is a linear relation between the cost of downloading

   the songs and the number of songs

∵ 2.90 = 2 × 1.45

∵ 7.25 = 5 × 1.45

∴ The total cost of downloaded songs is the product of the number

   of songs and the cost per song

∵ The cost per song is 1.45

∵ n is the independent variable

∴ n represents the number of songs

∵ c is the dependent variable

∴ c represents the total cost of n songs

- Now we can write the linear equation

∴ c = 1.45 n

The equation is c = 1.45 n

∵ 25 digital songs downloaded

∴ n = 25

∵ c = 1.45 n

∴ c = 1.45(25)

∴ c = 36.26

Total cost of 25 songs is $36.25

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y≤ 3 when x is 0  and x≤ 3 when y is 0

The graph is attached in figure below

Step-by-step explanation:

We need to graph x+y is equal or less than 3

Writing in mathematical form:

[tex]x+y\leq 3[/tex]

For solving we find x and y intercepts

The y-intercept can be found by putting x=0, y is :

[tex]0+y \leq 3\\y\leq 3[/tex]

y≤ 3 when x is 0

The x-intercept can be found by putting y=0, x is :

[tex]x+y \leq 3\\x+0\leq 3\\x\leq 3[/tex]

x≤ 3 when y is 0

Plotting these values on the graph:

The graph is attached in figure below

Keywords: Solving inequalities

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Answer:

3.5/1

Step-by-step explanation:

(0,0)

(3.5,1)

Answer:

look at the picture shown