1.825 x 10^-4 write the following number in stand form (decimal).

Answers

Answer 1
This is in 1.825 x 10^-4 is in scientific notation.  Since we have a power ^ raised to a -4 this is going to be a decimal. take the number 1.825 and move the decimal 4 places to the left and add zeros along the way. So 1.825 = .0001825 in standard form

Answer: .0001825



Related Questions

I need to solve and show work for 3x over4 divided by 5-1 over 8

Answers

3or4vxe
     4  



Is the answer 
Sounds as tho' you want to evaluate

3x
---
  4

over

5x-1
------
    8

To accomplish this, invert the 2nd fraction and then multiply:


3x     5x-1
---   * ------  = 15x^2-3x   divided by 32.
  4       8

Johns collection contains US, Indian and British stamos. If the stamps ratios of US to Indian stamps is 5 to 2, and the ratio of Indian stamps to British stamps is 5 to 1, what is the ratio of US to British stamps

Answers

Final answer:

The ratio of US to British stamps is 25 to 2.

Explanation:

To find the ratio of US to British stamps, we need to consider the ratios provided in the question. The ratio of US to Indian stamps is 5 to 2, and the ratio of Indian stamps to British stamps is 5 to 1. We can combine these ratios by multiplying the two ratios together. 5/2 multiplied by 5/1 is equal to 25/2. Therefore, the ratio of US to British stamps is 25 to 2.

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Toby, a toy store buyer, ordered 2 gross rubber spiders, 60 teddy bears, and 5 dozen video games. The spiders cost 7 cents each, the bears cost 59.76 dollars per dozen, and the video games were on sale for a special price—12 for 156 dollars. What was the total cost of Toby’s order, in dollars?

Answers

Rubber spider total cost:
7 × 2 gross (1 gross = 144 units)
7 cents x 288 = 2016 cents = $20.16

Total cost of teddy bear:
59.76 x (60÷12) (1 dozen = 12 units)
59.76 x 5 = $298.80

Total cost of video games:
156 x 5 = $780.00

Total spent:
780 + 298.80 + 20.16 = $1098.96

Which of the following represents the zeros of the function
g(x) = x3 - 9x2 + 2x + 48 ?

A. x= -8, x= 2 , and x= -3
B. x = 8, x = -2 , and x = 3
C. x = 6, x = -4 , and x = 9
D. x = -6, x = 4 , and x = -9

Answers

g(x) = x^3 - 9x^2 + 2x + 48 ?

Probe some roots. When you use x = - 2

you will have: (-2)^3 - 9(-2)^2 + 2(-2) + 48 = -8 - 36 - 4 + 48 = 0

So, - 2 is a root

From that you can divide x^3 - 9x^2 + 2x + 48 by x + 2 and you will get

x^2 - 11x + 24

Then you can factor that: (x - 8)(x - 3)

So, the three roots are x = - 2, x = 3 and x = 8, which is the option B.

Answer: option B. x = 8, x = -2 , and x = 3
 

Randy school requires that there are two adult chaperones for every 18 students when the students go on a field trip to the museum if there are 99 students going to the museum how many adult shop around our need it

Answers

Use a proportion.

2 adults to 18 students is as x adults to 99 students.

2/18 = x/99

18x = 2 * 99

18x = 198

x = 11

Answer: 11 adults

What is the value of r, the part of the job that Marina can complete in 1 hour? 0.1 0.4 0.5 0.6

Answers

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

If you put all the flowers together end to end, what would be the total length of all the flowers?

Answers

1/8 + 3(1/4) + 2(1/2) + 5/8 + 3/4 + 7/8 + 1 =
1/8 + 3/4 + 1 + 5/8 + 3/4 + 7/8 + 1 =
13/8 + 6/4 + 2 =
13/8 + 12/8 + 16/8 =
41/8 =
5 1/8 inches <==

how do i calculate an estimated regression line with the information
n=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396

Answers

The regression line is
y = ax + b
where
a = [(Σy)(Σx²) - (Σx)(Σxy)]/D
b = [n(Σxy) - (Σx)(Σy)]/D
D = n(Σx²) - (Σx)²

Therefore,
D = 12(396) - 66² = 396
a = [588*396 - 66*2244]/396 = 214
b = [12*2244 - 66*588]/396 = -30

Answer:
The regression line is y = 214x - 30

Some luggage pieces have wheels and a handle so that the luggage can be pulled along the ground. Suppose the length from the bottom of the bag to the place on the floor perpendicular to the hand on the bag is 14 inches, and the length of the bag with its handle is 19 inches. At which angle made by the bag and the floor would it be comfortable to roll the bag?

Answers

Draw a right triangle with adjacent-leg equal to the length from the bottom to the place on the floor, whose meausre is 14 inches, and the hypotenuse is 19 inches.

The trigonometric ratio cosine, relates the angle with those lengths:

cos(angle) = adjacent-leg / hypotenuse = 14 / 19

=> angle = arc cosine (14/19) = 42.5°

Answer: 42.5°


Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

(0, 1)
(0, 4)
(1, 0)
(4, 0)

Answers

the answer is C. (1,0)

1. Points M and N have coordinates (-4,0) and (4,2), respectively.

Then vector [tex]\overrightarrow{MN}=(4-(-4),2-0)=(8,2)[/tex] is perpendicular to the neede line.

2. Write the equation of line that passes through the point P(2,-4) and is perpendicular to vector  [tex]\overrightarrow{MN}=(8,2):[/tex]

[tex]8(x-2)+2(y+4)=0,\\8x-16+2y+8=0,\\8x+2y-8=0,\\4x+y-4=0.[/tex]

3. Find the point on x-axis, that lies on the perpendicular line.

When y=0, then 4x-4=0, x=1 and point (1,0) lies on perpendicular line.

Answer: correct choice is C.

Find an equation of the normal line to the parabola y = x2 â 9x + 7 that is parallel to the line x â 7y = 2.

Answers

Please, could you proof read your input before posting a question?    The character  " â " does not belong here.  "x2" should be written as x^2, where the "^" denotes exponentiation.

I'm taking the liberty of correcting your input:  "Find an equation of the normal line to the parabola y = x2 â 9x + 7 that is parallel to the line x â 7y = 2." may be:

Find an equation of the normal line to the parabola y = x^2 -  9x + 7 that is parallel to the line x - 7y = 2.  

How do you find the slope of a normal line to the graph of a given quadratic?  Differentiate    y = x^2 - 9x + 7:     dy/dx = 2x - 9

You can see that this slope varies with x.  You have not named an x-value here, so   I will have to stop   at   dy/dx = 2x - 9.

The slope of a line perpendicular to the tangent line is the negative reciprocal of   the slope of the tangent line, or

-1
-------   which obviously depends upon the x value you choose or are given.
(2x)

Now focus on the given line x - 7y = 2.  Solving for y, 7y =x-2.  The slope of this line is (1/7).  Thus, 

    -1            1
--------- = ----------     Cross-multiplying, -7 = 2x; x = -3.5
    2x            7

So it appears we DO have the x-value at the point of tangency on the curve.

Find the associated y-value by subst. x = -3.5 into the eq'n of the parabola.

Call it Y.

Then the eq'n of the normal line to the parabola that is parallel to x - 7y = 2

is             y-Y = (1/7)(x-[-3.5])
Final answer:

The normal line to the parabola y = x^2 - 9x + 7 that is parallel to the line x - 7y = 2 is y = -7x + 65, which was determined by finding the normal slope and point of tangency using the derivative.

Explanation:

In mathematics, the normal line to a curve at a particular point is the line that is perpendicular to the tangent of the curve at that point. First, it's important to establish that any line parallel to x - 7y = 2 would have the same slope, which in this case is 1/7. To find the normal line, we need a line that is perpendicular to this -- hence, it would have a slope of -7.

Now, to find the point of tangency, you must take the derivative of y = x^2 - 9x + 7, making it 2x - 9. Set this equal to -7 (the slope of the normal line) and solve for x, which comes out to be 8. Substituting x = 8 back into our parabola equation gives us y = -9. Therefore, our point of tangency is (8, -9).

Finally, using the point-slope form of a line formula, we can find our equation of the normal line, which is  y - (-9) = -7*(x - 8), simplifying to y = -7x + 65.

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There are 365,493 blue pens in a warehouse and 549384 black pens how many pens are there in all

Answers

365,493 + 549,384 = 914,877
To find the answer you add the numbers together to find the sum. 
365,493+549,384

Your answer would be 366,042.384

I hope this helps!

A cylindrical shaped vase has the radius of 3cm and a height of 18cm. how much water is needed to fill the vase 3/4 of the way?

Answers

Answer:

Step-by-step explanation:

To fill the entire vase:

pi(3)^2(18)= 508.9 cubic centimeters

To fill vase 3/4 of the way:

3/4= .75

So then you take what it takes to fill the vase (508.9) and multiply that by .75 which equals 381.70 cubic centimeters.

3/4 of the volume of water needed to fill the vase is 162π cm^3.

To find how much water is needed to fill the vase 3/4 of the way, we first need to calculate the volume of the vase and then determine 3/4 of that volume.

The formula to calculate the volume of a cylinder is:

[tex]Volume = \pi * radius^2 * height[/tex]

Given:

Radius (r) = 3 cm

Height (h) = 18 cm

Volume of the entire vase:

[tex]Volume = \pi * (3 cm)^2 * 18 cm\\Volume = \pi* 9 cm^2 * 18 cm\\Volume = 162\pi cm^3[/tex]

Now, to find 3/4 of the volume, multiply the total volume by 3/4:

[tex]3/4 * 162\pi cm^3 = 3 * 54\pi cm^3 = 162\pi cm^3[/tex]

So, 3/4 of the volume of water needed to fill the vase is 162π cm^3.

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What is the probability that Eric rolls an even number or draws an ace from a standard deck of cards?

Answers

Evidently the quesiton is incomplete.

It is logic that the actions are roll a die and draw a card.

The two events are indepent, so the combined probability is the sum of the individual probabiliites.

Probability = number of positive events / number of possible events

Probability of rolling an even number = number of faces with even numbers / total number of numbers.

Probability of rolling an even number = 3 / 6 = 1/2

Probability of drawing an ace = number of aces in the deck of cards / number of cards

Probability of drawing an ace = 4 / 52 = 1 / 13

Combined probability = 1/2 + 1/13 = (13 + 2) / 26 = 15 / 26

Answer: option D. 15 / 26

What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a population of 1,000 that is 50% male and 50% female?

Answers

Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
    n = total sample size

Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

ANSWER: 50%

The cost CC (in dollars) of making nn watches is represented by C=15n+85C=15n+85. How many watches are made when the cost is $385?

Answers

[tex]\bf \stackrel{cost}{C}=15\stackrel{watches}{n}+85\qquad \boxed{C=385}\qquad \stackrel{cost}{385}=15n+85 \\\\\\ 380=15n\implies \cfrac{380}{15}=n\implies \cfrac{76}{3}=n\implies 25\frac{1}{3}=n[/tex]

so, 25 whole watches and hmmmm just the wristband of another maybe.

Each class at briarwood elementary collected at least 54 cans of food lduring the food drive.If tbere are 29 clases in the school what was the least numbet of cans collected?

Answers

the answer is 54 cans of food
Let's turn the words into numbers:
For each class → x ≥ 54
Full School → x ≥ 54(29)

If we simplify the second inequality, we get this:
x ≥ 1566

The answer to your query is x ≥ 1566. Hope this helps and have a fantastic day!

Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, four white ones, and three purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. HINT [See Example 1.] She does not have all the green ones.

Answers

Final answer:

Explanation of calculating the probability of choosing 3 green marbles out of 10 from a bag with 50 marbles.

Explanation:

The probability of choosing exactly 3 green marbles if a total of 10 marbles are selected from a bag filled with 50 marbles, 15 of which are green, can be calculated as follows:

Calculate the total number of ways to choose 3 green marbles out of 15: C(15, 3).Calculate the total number of ways to choose 7 non-green marbles out of 35: C(35, 7).Find the total number of ways to choose 10 marbles out of 50: C(50, 10).Calculate the probability by dividing the product of the above two calculations by the total ways to choose 10 marbles.

PLEASE HELP ASAP DUE IN A DAY What is the unit rate for 768.57 m 41.1 h? Enter your answer, as a decimal, in the box.

Answers

The unit rate for 768.57 meters in 41.1 hours is approximately 18.68 meters per hour. This calculation is derived by dividing the distance by the time to find the rate of movement.

To find the unit rate, divide the distance by the time:

[tex]\[ \text{Unit rate} = \frac{\text{Distance}}{\text{Time}} \][/tex]

[tex]\[ \text{Unit rate} = \frac{768.57 \, \text{m}}{41.1 \, \text{h}} \][/tex]

[tex]\[ \text{Unit rate} \approx \frac{768.57}{41.1} \, \text{m/h} \][/tex]

[tex]\[ \text{Unit rate} \approx 18.68 \, \text{m/h} \][/tex]

So, the unit rate is approximately 18.68 meters per hour.

At an interest rate of 8% compounded annually, how long will it take to double the following investments?
$50
$500
$1700

Answers

let's see, if the first one has a Principal of $50, when it doubles the accumulated amount will then be $100,

recall your logarithm rules for an exponential,

[tex]\bf \textit{Logarithm of exponentials}\\\\ log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\ -------------------------------\\\\ \qquad \textit{Compound Interest Earned Amount} \\\\ [/tex]

[tex]\bf A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$100\\ P=\textit{original amount deposited}\to &\$50\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ 100=50\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 100=50(1.08)^t \\\\\\ \cfrac{100}{50}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ [/tex]

[tex]\bf log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\ -------------------------------\\\\ [/tex]

now, for the second amount, if the Principal is 500, the accumulated amount is 1000 when doubled,

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$1000\\ P=\textit{original amount deposited}\to &\$500\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases} \\\\\\ 1000=500\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 1000=500(1.08)^t \\\\\\ [/tex]

[tex]\bf \cfrac{1000}{500}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t\\\\ -------------------------------[/tex]

now, for the last, Principal is 1700, amount is then 3400,

[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$3400\\ P=\textit{original amount deposited}\to &\$1700\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annnually, thus once} \end{array}\to &1\\ t=years \end{cases}[/tex]

[tex]\bf 3400=1700\left(1+\frac{0.08}{1}\right)^{1\cdot t}\implies 3400=1700(1.08)^t \\\\\\ \cfrac{3400}{1700}=1.08^t\implies 2=1.08^t\implies log(2)=log(1.08^t) \\\\\\ log(2)=t\cdot log(1.08)\implies \cfrac{log(2)}{log(1.08)}=t\implies 9.0065\approx t[/tex]

If 4f(x)+f(5-x)=x2

What is f(x)?

Answers

We are given that [tex]4f(x)+f(5-x)=x^2[/tex].

Substitute x with 5-x, then the above equation becomes:

[tex]4f(5-x)+f(5-(5-x))=(5-x)^2[/tex], that is

[tex]4f(5-x)+f(x)=(5-x)^2[/tex]


So, we have the following system of equations:

i) [tex]4f(x)+f(5-x)=x^2[/tex]
ii) [tex]4f(5-x)+f(x)=(5-x)^2[/tex]

multiply the first equation by -4, so that we eliminate f(5-x)'s

i) [tex]-16f(x)-4f(5-x)=-4x^2[/tex]
ii) [tex]4f(5-x)+f(x)=(5-x)^2[/tex]

adding the 2 equations side by side we have:

[tex]-15f(x)=-4x^2+(5-x)^2[/tex]

expanding the binomial, and collecting same terms we have:

[tex]-15f(x)=-4x^2+(25-10x+x^2)[/tex]

[tex]-15f(x)=-3x^2-10x+25[/tex]

dividing by -5:

[tex]3f(x)=\frac{3}{5}x^2+2x-5[/tex]

dividing by 3:

[tex]\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3} [/tex]


Answer: [tex]\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3} [/tex]

Cameron can display his 12 models cars

Answers

I don’t understand your question.

Find the length and width of a rectangle when the width is 4ft. Shorter than the length. The perimeter of the rectangle is greater than 72ft.

Answers

length- 38 ft
width= 34

The salaries of the president and the Vice President of a certain country total $562,500 a year. If the president makes $237,400 more than the Vice President , find each of their salaries.

Answers

To do this question, you simply add what the Vice President makes to how much more the President makes. $562,500+ $237,400=799,900.

Suppose five construction companies have the ability to build a factory overseas to produce a manufactured good. The marginal cost of building a factory for each construction company is shown in the table​ below: Producer Marginal Cost Company 1 ​$1,000,000 Company 2 ​$1,250,000 Company 3 ​$1,300,000 Company 4 ​$1,350,000 Company 5 ​$1,500,000 If the market price of an overseas factory is ​$ 1 470 000 ​, what is the surplus for these five​ companies?

Answers

The surplus for the five companies is amounting to $830,000

What is the surplus for the five companies?

Producer Surplus is the difference between the price at which a producer is willing to spend and the price which he is getting from the market for his product.

The minimum price at which a producer is willing to spend is the Marginal Cost of producing that product.Therefore, Producer surplus is Market Price- Marginal CostProducer Marginal Cost Market Price Producer Surpus Company 1 1,000,000 1,470,000 (1,470,000-1,000,000)=470,000

Company 2 1,250,000 1,470,000 (1,470,000-1,250,000)=220,000

Company 3 1,300,000 1,470,000 (1,470,000-1,300,000)=170,000

Company 4 1,350,000 1,470,000 (1,470,000-1,350,000)=120,000

Company 5 1,500,000 1,470,000 (1,470,000-1,500,000)=-30,000

Total producer surplus= 470,000 + 220,000 + 170,000 + -30,000 = 830,000

The surplus for the five companies is amounting to $830,000

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Final answer:

The surplus for Companies 1, 2, and 3 is $470,000, $220,000, and $170,000 respectively, as their marginal costs are less than the market price of $1,470,000. Companies 4 and 5 do not have a surplus since their marginal costs are above the market price. The total surplus is $860,000.

Explanation:

The surplus for the five construction companies based on their marginal costs and the market price of an overseas factory can be calculated as the difference between the market price and the marginal cost for each company. Only the companies that have a marginal cost lower than the market price will experience a surplus. Given that the market price is $1,470,000:

Company 1 has a surplus of $470,000 ($1,470,000 - $1,000,000).

Company 2 has a surplus of $220,000 ($1,470,000 - $1,250,000).

Company 3 has a surplus of $170,000 ($1,470,000 - $1,300,000).

Companies 4 and 5 do not have a surplus because their marginal costs are higher than the market price. The total surplus for the three companies with a surplus is $860,000 ($470,000 + $220,000 + $170,000).

Over the last three evenings, Raina received a total of 83 phone calls at the call center . The first evening, she received 7 more calls than the third evening. The second evening, she received 2 times as many calls as the third evening. How many phone calls did she receive each evening ?

Answers

x = 1st evening, y = 2nd evening, z = 3rd evening

x + y + z = 83
x = z + 7
y = 2z

z + 7 + 2z + z = 83
4z + 7 = 83
4z = 83 - 7
4z = 76
z = 76/4
z = 19 <=== 3rd evening calls

x = z + 7
x = 19 + 7
x = 26 <=== 1st evening calls

y = 2z
y = 2(19)
y = 38 <=== 2nd evening calls

What number should I multiply 1 1/4 by to get 7/12

Answers

Let's take our given information and transform it into numbers. We will let x equal the "mystery" number we need to find. Here is our equation:
[tex]1 \frac{1}{4} x= \frac{7}{12} [/tex]
Now, all we need to do is convert the mixed fraction into an improper fraction:
[tex] \frac{5}{4} x= \frac{7}{12}[/tex] 
Now, just multiply the reciprocal of 5/4 with 7/12, giving us:
[tex] x=\frac{4}{5}* \frac{7}{12} [/tex]
Finally, just straight up multiply to get an answer of x = 28/60, which can be simplified down to x = 7/15. Therefore, the number you have to multiply 1 1/4 to get 7/12 is 7/15. Hope this helped!
1 and 1/4 is the same as 5/4 so essentially we are asking what do we multiple 5/4 by to get 7/12. Try to keep things as fractions initially to see if there is a fractional answer with whole numbers.

Let x represent the number:
x . 5/4 = 7/12
i.e. 5x/4 = 7/12
We want to get x on it's own so multiply both sides of equation by 4
5x = 4 . (7/12) = 28/12
now divide both sides by 5 to get x on its own
x = (28/12) / 5
This does not equate to a whole number fraction as 28 and 12 are not divisible by 5. So simply convert to decimal
x = 2.3333 / 5 = 0.46666



Charlie has 5 times as many stamps as Ryan. They have 1,608 stamps in all. How many more stamps does CHarlie have than Ryan?

Answers

Charlie-5x           Charlie has 268*5=1340
Ryan-x                 1340+268=1608

5x+x=1608          1340-268=1072
6x=1608              
x=268                  Charlie has 1072 more stamps then Ryan

Ryan has 268 stamps







If an article costs a store $7.45 and if it sells the article for $9.95, what percentage (to the nearest tenth) markup is it using?

Answers

subtract to find the difference:

9.95 - 7.45 = 2.50

 divide 2.50 by cost price to get mark up percentage

2.50 / 7.45= 0.3355

= 33.6 percent to the nearest tenth

Answer:

Markup Percentage is 33.56 %

Step-by-step explanation:

Given: Cost of an article = $ 7.45

           Selling price of the article = $ 9.95.

To find: Markup percentage or profit percentage

Clearly Selling price is greater we have profit in this case.

Profit amount = 9.95 - 7.45 =  $ 2.50

Profit percentage = [tex]\frac{2.50}{7.45}\times100=33.5570469799=33.56[/tex] %

Therefore, Markup Percentage is 33.56 %

Which equation can be used to find the answer? A playground with four sides has a perimeter of 52 ft. Three of the sides have lengths of 9 ft, 16 ft, and 19 ft. What is the length of the fourth side? A. s – 9 + 16 + 19 = 52 s =26 26 ft B. s + 9 + 16 + 19 = 52 s = 8 8 ft C. s – 52 = 9 + 16 – 19 s = 58 58 ft D. s – 9 – 16 – 19 = 52 s = 96 96 ft

Answers

What we know:
Perimeter=52 ft
Perimeter=s1+s2+s3+s4
s1=9ft
s2=16ft
s3=19ft
s4=s

What we need to find: equation for given information and solution to s4=s

Perimeter=s1+s2+s3+s4
52=9+16+19+s

52=9+16+19+s
52=44+s               like terms added
52-44=44-44+s     additive inverse
8=s

Solution: B. s + 9 + 16 + 19 = 52 s = 8 8 ft

Option B)s + 9 + 16 + 19 = 52. Solving this gives the fourth side as 8 ft.

To find the length of the fourth side, you need to know the equation that correctly represents the given information. The perimeter of the playground is the sum of all four sides. Therefore, the correct equation to find the fourth side (s) is:

B. s + 9 + 16 + 19 = 52

9 + 16 + 19 = 44.

s + 44 = 52.

s = 52 - 44.

s = 8.

Therefore, the length of the fourth side is 8 ft.

So, the correct option is B. s + 9 + 16 + 19 = 52.

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