A rectangular dog pen which is 5 times as long as it is wide

Answers

Answer 1

What is the question you're trying to ask here?

Answer 2

if you are trying to label the sides, then the longest side would be 5x (x represents the width (the shortest side))

Related Questions

Kate has some dimes and quarters. if she has 1919 coins worth a total of $2.95, how many of each type of coin does she have?

Answers

She has 12 dimes and 7 quarters

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Suppose a box in the shape of a rectangular prism has length (2a + 11), width (5a – 12), and height (a + 6). Which expression represents the volume of the box?

answer choices in pics

Answers

10a^3 + 91a^2 + 54a - 792

Answer:

[tex]V = (10a^3+91a^2+54a-792)[/tex]

Step-by-step explanation:

We have

[tex]V = lwh[/tex] (I), and

[tex]l=2a+11[/tex] (II)

[tex]w=5a-12[/tex] (III)

[tex]h=a+6[/tex] (IV)

We substitute the expression (II),(III) and (IV) in (I), that is

V= (2a+11)(5a-12)(a+6), solve the first one terms

[tex]V = (10a^2-24a+55a-132)(a+6)[/tex]

[tex]V = (10a^2+31a-132)(a+6)[/tex]

[tex]V = (10a^3+31a^2-132a+60a^2+186a-792)[/tex], simplifying

[tex]V = (10a^3+91a^2+54a-792)[/tex]

what is 0.81% written as a decimal

Answers

It would be 0.081
Hope it helped! Have a great day

In order to make 0.81% into a decimal, we need to divide 0.81 by 100 and we get our answer.

Answer: 0.0081

Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?

Answers

25c - 0.05(25c) = T....when T = 66.50

25c - 1.25c = 66.50
23.75c = 68.50
c = 68.50 / 23.75
c = 2.88

The best quality of editing she can get is basic Proofreading

For what value of b does

Answers

There's no solution.

There is no solution because the result on the left hand side is 12² since the b terms cancel out, and 12² is not equal to 12.
Note that (1/12)^-2b is the same as 12^2b. When we add the exponents we get 2b-2b+2=2, hence 12² on the left.

a googol is a large number that is the digit one followed by one hundred zeros.if you multiply a googol by 100, how many zeros will that product have

Answers

The product will have 102 zeroes since if you multiply any number like 1000,10, 10000, etc. then you just add zeroes to the end. If you multiplied a googol and 10 together, you add two more zeroes to the end of the number googol, making it have 102 zeroes.

The expression V = 2x3 + 6x2 can be used to find the volume of the trapezoidal prism below. If x = 12 cm, what is the volume of the prism?

Answers

V = 2x^3 + 6x^2
x = 12

V = 2(12^3) + 6(12^2)

V = 2(1728) + 6(144)

V = 3456 + 864

V = 4320

The volume of the prism is 4320 cubic units

The expression for the volume is given as:

V = 2x^3 + 6x^2

When x = 12, the expression becomes

V = 2 * 12 ^3 + 6 * 12^2

Evaluate the exponent

V = 2 * 1728 + 6 * 144

Evaluate the products

V = 3456 + 864

Evaluate the sum

V = 4320

Hence, the volume of the prism is 4320 cubic units

Answers

To separate/divide into two equal section/halves

A pair of adjacent angles being supplementary, a pair of opposite angles congruent and a pair of opposite sides congruent, and one pair of opposite sides being both parallel and congruent are not sufficient conditions on their own to prove that a quadrilateral is a parallelogram.

Among the given statements concerning the characteristics that are sufficient to prove a quadrilateral is a parallelogram, the following are NOT sufficient on their own:

A pair of adjacent angles are supplementary (statement II).

A pair of opposite angles congruent and a pair of opposite sides congruent (statement IV).

One pair of opposite sides are both parallel and congruent (statement VII).

While having a pair of adjacent angles that are supplementary is common in parallelograms, it alone does not guarantee that a quadrilateral is a parallelogram, as many quadrilateral types can have supplementary adjacent angles. Similarly, having just one pair of opposite angles and one pair of opposite sides congruent doesn't necessarily make a quadrilateral a parallelogram, as these characteristics could describe a kite or other quadrilaterals as well. The condition of one pair of opposite sides being both parallel and congruent, although a property of parallelograms, is not by itself a conclusive proof, as there may need to be additional information to rule out other shapes like rectangles.

Correct Answer: B. II, VI, and VII only

What are the roots of the polynomial equation? 0= x^2 +18x+45

Answers

X²+18x+45
First factor 45
Second you have (x+3)(x+15)
Third to find you zeros in this form it will be x=-3 and x=-15
Because it would be the opposite pf those numbers in the factored form

Answer:

-15 and -3

Step-by-step explanation:

Write an equation for the line parallel to line AB that contains point C (0,3)
AB: y=-2x+1

Answers

y-3=-2(x-0)
y-3=-2(x)
y-3=-2x
y=-2x+3
y = -2x + 3

bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal

Answers

Given that Bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye.

Given the table below that gives the probabilities of outcomes.

[tex]\begin{tabular} {|c|c|c|c|c|} \bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\ \bold{Probability}&0.036&0.297& 0.423&0.244 \end{tabular}[/tex]

The probability that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72

Therefore, the probability that Bill will get the next arrow in the inner or outer ring is 0.72

Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)

Answers

y - 5x = 10 can be written in the slope-intercept form as
y = 5x + 10

The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.

In this case, the 5 is the slope.

Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is

y = 5x + b

We need to find what b is.

We can use the given point, (3, 10), in for x and y and solve for b.

10 = 5 * 3 + b

10 = 15 + b

-5 = b

Now that we know that b = -5, we replace b with -5 to get our equation

y = 5x - 5

The equation of the required line is [tex]y=5x-5[/tex].

Given:

The eqation of paralle line is [tex]y-5x=10[/tex]. The required line passes through the point [tex](3,10)[/tex].

To find:

The equation of the required line in slope-intercept form.

Explanation:

The given equation can be rewritten as:

[tex]y=5x+10[/tex]

On comparing this equation with [tex]y=mx+b[/tex], we get

[tex]m=5[/tex]

Slopes of parallel lines are always equal.

The slope of reqired line is [tex]m=5[/tex] and it passing through the point [tex](3,10)[/tex]. Using the point slope form, the equation of the line is:

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

[tex]y-10=5(x-3)[/tex]

[tex]y=5x-15+10[/tex]

[tex]y=5x-5[/tex]

Therefore, the equation of the required line is [tex]y=5x-5[/tex].

Learn more:

https://brainly.com/question/18595814

In a couple of sentences and your own words describe how to re-write an expression that's in radical form into an expression with rational exponents?

Answers

In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.

Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.

Example:
√(x³) = square root of x³ = x^(3/2)

Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 4 vertices and 6 edges have?
7
4
6
5
Please Help!

Answers

F=??
4 vertices mean V=4
6 edges mean E=6
4-6+F=2
-2+F=2
F=4

Final answer:

A polyhedron with 4 vertices and 6 edges would have 4 faces, according to Euler's formula.

Explanation:

This question involves the understanding of Euler's formula applied on polygons. Euler's formula, as given in the question is V – E + F = 2, where V is the number of vertices, E is the number of edges, and F is the number of faces. To answer your question, we need to solve the formula for F. Let's replace V and E with the given numbers, which are 4 for vertices and 6 for edges.

So the formula becomes 4 – 6 + F = 2. Simplifying this, we get -2 + F = 2. Solving for F, we find F = 1 + 2, which means F = 4. So, a polyhedron with 4 vertices and 6 edges would have 4 faces.

Learn more about Euler's Formula here:

https://brainly.com/question/34369062

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Explain how to use the grid method for multiplying binomials

Answers

Let's say we had to multiply the two binomials (x + 1)(x + 2). We could use the grid method or FOIL, but we will use the grid method for now. Here is how you do it:
1. Identify all the terms in the expression:
x, 1, x, 2
2. Align the terms in a grid-like fashion according to their binomials:
x 1
x
2
3. Now, multiply all the terms together (ex. x × x is x²)
x 1
x x² 1x
2 2x 2
4. Put all products in decreasing order:
x²+1x+2x+2
5. Combine Like Terms (CLT):
x² + 3x + 2
Therefore, the answer is x² + 3x + 2. As you can see, the grid method is figuratively long, and the FOIL method is definitely recommended. Hope this helped!

Translate the variable expression into a word phase
2 x (3 - x)

Answers

two multiplied by the difference of 3 and a number

The letters A, B, C, D, E, F, G, H, I, and J are written on slips of paper and placed in a hat. Two letters are then drawn from the hat. What is the probability that the letters chosen would be only B, C, D, or F?

Answers

the answer would be 4 out of 9 because you are choosing four letters out of the total nine

40% percent is the answer i believe

X= -75/y; X=6
what's the answer & how do u solve this?

Answers

Hello Maryam!

[tex]x = \frac{-75}{y} For x = 6 Well, first replace x by 6 6 = -75/y Cross multiply 6*y = -75 6y = -75 Divide both sides by 6 to find y 6y/6 = -75/6 y= -25/2 Best of luck with your studies! [/tex]

Select all that apply. If p is a statement, which of the statements is the negation of p. not p. and p. p is false. or p. p is true.

Answers

Hard to understand what's asked here just by how it's written but byt the looks of it A and C should work

The final balance in an account that has a monthly fee and automatic monthly deposits is given by the expression. The initial account balance is $1200.

150x−4.99x+1200

What does the expression 150x−4.99x represent?

a.the final balance

b.the monthly balance change

c.the initial balance

d.the monthly fee total

i got b

Answers

I am pretty certain you are correct. 150x represents the deposit and 4.99x represents the monthly fee. Overall you can conclude that is the monthly change.

Above answer is correct, I took the test.

answer: the monthly balance change

A bread recipe calls for 1/3 cup of white flour and 2 3/4 cups of whole wheat flour. What is the total amount of flour needed?

Answers

the total amount of flower would be 37/12 or 3 1/12

[tex] \frac{1}{3} + 2 \frac{3}{4} = 3 \frac{1}{12} [/tex]

Question 3 e and f are sets of real numbers defined as follows.

Answers

Real number are the numbers starting from negative infinity to positive infinity (...-5,-4,-3,-2,-1,0,1,2,3,4,5...). e and f are sets of real number implies that these are two sets consisting of rwal numbers. e={4,54,-5,8,-9} f={5,4,-3,-5,0}

What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?

Answers

so, we know the center is at -3,-1, ok

hmmm what's the radius anyway? well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point? well, is the radius, let's check then.

[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -3}}\quad ,&{{ -1}})\quad % (c,d) &({{ 1}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2} \\\\\\ r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5[/tex]

so, what's the equation of a circle with center at -3, -1 and a radius of 5?

[tex]\bf \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad \begin{array}{lllll} center\ (&{{ h}},&{{\quad k}})\qquad radius=&{{ r}}\\ &-3&-1&5 \end{array} \\\\\\\ [x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25[/tex]

Answer:

(x + 3)^2 + (y + 1^)2 = 25

Step-by-step explanation:

The distance formula gives the length of the radius:

r = √(-3-1)^2 + (- 1-2)^2 = √25 = 5

Substituting h = -3, k = -1, and r = 5 into the standard form (x - h)2 + (y - k)2 = r2, you get (x + 3)2 + (y + 1)2 = 52 = 25.

edmentum :)

I need help on how to figure out this question! A track coach made a two way table to show his runners gender and running category. Male: Sprints- 16 Middle distance- 11 Long distance- 9 Female: Sprints- 12 Middle distance- 14 Long distance- 5 To the nearest hundredth, what is the probability that a randomly chosen female runs sprints? This obviously says that order doesn't matter as they mention "randomly chosen". I am just having trouble figuring out how to solve this.

Answers

There are 12 out of 31 females = .39

Answer: Approx 0.39 will be the required probability.

Step-by-step explanation:

Here,Number of,

Male: Sprints=16, Middle distance=11, Long distance= 9

So, total males=36

And, Female: Sprints= 12, Middle distance=14, Long distance=5

So, total females=31

Thus, If one female randomly chosen,

Then, The probability that female runs sprint= Number of females who run sprint / total number of females

⇒ The probability that female runs sprint=12/31= 0.38709677419≈0.39

Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.

Answers

trace paid 0.3(30) percent of the original price

The length of a rectangle is 55 meters longer than the width. if the area is 2929 square meters, find the rectangle's dimensions. round to the nearest tenth of a meter.

Answers

width = w
length = L = (w + 55)
w * (w + 55) =2,929 sq meters
w^2 +55w -2,929,= 0
width = 33.206 = 33.2 meters (rounded)
Length = 33.2 + 55 = 88.2 meters

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?

Answers

radius=2
center(-2,4)

Answer: The required center of the given circle is 2 units.

Step-by-step explanation: We are given to find the radius of a circle with the following equation:

[tex]x^2+y^2+8x-6y+21=0~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The standard equation of a CIRCLE with radius 'r' units and center at the point (h, k) is given by

[tex](x-h)^2+(y-k)^2=r^2.[/tex]

From equation (i), we have

[tex]x^2+y^2+8x-6y+21=0\\\\\Rightarrow (x^2+8x+16)+(y^2-6y+9)-16-9+21=0\\\\\Rightarrow (x^2+2\times x\times 4+4^2)+(y^2-2\times x\times 3+3^2)-4=0\\\\\Rightarrow (x+4)^2+(y-3)^2=4\\\\\Rightarrow (x-(-4))^2+(y-3)^2=2^2.[/tex]

Comparing the above equation with the standard equation (i), we get

radius, r = 2 units and center, (h, k) = (-4, 3).

Thus, the required center of the given circle is 2 units.

You are ordering pizzas for a birthday party and getting them delivered to your house. you order 12 pepperoni pizzas, 8 cheese pizzas, and 4 hawaiian pizzas. there is a delivery fee of $5.50 if your total comes to 184.54. how much was each pizza

Answers

To clarify: is each pizza the same cost? Is the total cost with the delivery fee 184.54?

The answer would be $7.46. If you subtract the delivery fee then divide by how much pizzas there are you would find the amount per each pizza.

Help this is urgent due tomorrow... The lowest price for a play is $15 and the highest ticket price is $45. Write and graph a compound inequality that describes the price of all tickets for the play.

Answers

{x l 15 ≤ x ≤ 45} is the compound inequality

How long does it take for a deposit of $900 to double at 2% compounded continuously?

Answers

about 35 years is answer

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