Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 square feet and a length that is 4 feet more than its width.

If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.

Jason Builds Doghouses For A Pet Store. Each Doghouse Is A Wooden Structure With A Rectangular Base That

Answers

Answer 1

The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21

What is the equation?

A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.

Area of a rectangle = length x width

width = x length = 4 + x

x (4 + x) = 21

x² + 4x = 21

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Answer 2

The equation in the given form that can be used to determine the possible dimensions of the base of the doghouse will be, 21=4x+x².

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Area of rectangular base(A) = 21 square feet

The length is 4 feet more than its width, L=4+x

If x represents the width of the doghouse

The equation in the given form can be used to determine the possible dimensions of the base of the doghouse;

Area of the rectangular base;

A= L × x

A = (4+x)x

21=4x+x²

Hence the obtained equation for the given value will be, 21=4x+x².

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Related Questions

Simplify the following.

Simplify the following.

Answers

Answer:

27√2

Step-by-step explanation:

9√18

9√9√2

27√2

What comes next in this pattern?

What comes next in this pattern?

Answers

Answer:

П  П

 П

П  П

 П

П  П

 П

Step-by-step explanation:

the pattern goes 10, 9, 16, 16, 10, 9, 16, 16, 10, 9, 16, 16, 10...…

jamaila buys a pair of shoes for $22. she pays sales tax for 6.5% on the cost of the shoes. how much is the total cost of her shoes

Answers

Answer: Her cost of the shoe is $20.57

Tax: $1.43

Shoe: $20.57

Step-by-step explanation:

6 + (1 + 9) = 16, so
(6 + _) + 9 = '16

Answers

Answer:

1

Step-by-step explanation:

Adding the same positive numbers will always give you the same answers, right here all your doing is switching the 9 and the 1 ... so 1

The K
eq

for the reaction: A+B↔AB is 7 What is the K
eq

for 2AB↔2A+2B?

Answers

According to the question The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products \(K_{eq} \ for\ 2AB \rightleftharpoons 2A + 2B \ is\ 49.\)This indicates that the equilibrium position favors formation of products.

The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products in a chemical reaction at equilibrium. In the given reaction,

\(A + B \rightleftharpoons AB, the\ K_{eq}\ is\ 7\).

When considering the reaction \(2AB \rightleftharpoons 2A + 2B\), the stoichiometric coefficients are doubled on both sides. According to the principles of equilibrium, the equilibrium constant for the modified reaction can be obtained by squaring the original \(K_{eq}\).

Therefore, the \(K_{eq}\) for \(2AB \rightleftharpoons 2A + 2B is (K_{eq})^2 = (7)^2 = 49\). This indicates that the equilibrium position favors the formation of products in the double reaction compared to the original reaction.

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Which of the following graphs does NOT describe y as a function of x?

Which of the following graphs does NOT describe y as a function of x?
Which of the following graphs does NOT describe y as a function of x?
Which of the following graphs does NOT describe y as a function of x?
Which of the following graphs does NOT describe y as a function of x?

Answers

Answer:

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

Step-by-step explanation:

HELPPP!! Using the given scaled drawing, which THREE statements are true?
A)
4.9 in = 11.2 ft
B)
4.9 in = 34.3 ft
09
1.6 in = 11.2 ft
D)
The area of the rectangle is 384.16 ft?
E)
The area of the rectangle is 91 ft?

HELPPP!! Using the given scaled drawing, which THREE statements are true?A)4.9 in = 11.2 ftB)4.9 in =

Answers

Answer:

4.9 in =34.3 ft

1.6 in= 11.2 ft

The area of the rectangle is 384.16 ft?

Step-by-step explanation:

I took the test and got it right :)

how is a corm different from a bulb?​

Answers

Answer:

Corm and Bulb- Differences. Bulbs are structurally short stems with fleshy leaves or leaf bases. Corms are rounded, underground storage organs consisting of a swollen stem base covered with scale leaves. Bulbs are modified leaves that store nutrients.

Step-by-step explanation:

what is the standard form equation of the ellipse that has vertices (0,±4) and co-vertices (±2,0)?

Answers

The standard form equation of the ellipse with vertices (0, ±4) and co-vertices (±2, 0) is (x²/4) + (y²/16) = 1.

To find the standard form equation of an ellipse, we use the equation (x²/a²) + (y²/b²) = 1, where a and b are the semi-major and semi-minor axes, respectively.

Since the vertices are (0, ±4), the distance between them is 2a = 8, giving us a = 4. Similarly, the co-vertices are (±2, 0), and the distance between them is 2b = 4, resulting in b = 2.

Plugging in the values for a and b, we get (x²/(2²)) + (y²/(4²)) = 1, which simplifies to (x²/4) + (y²/16) = 1.

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Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor. 18+30 ( I will give brainliest to whoever answers correctly)

Answers

The equivalent expression of 18 + 30 using distributive property is 6(3) + 6(5)

What are the distribution of the numbers?

The distributive property states that for any numbers a, b, and c, a multiplied by (b+c) equals a multiplied by b plus a multiplied by c.

a(b + c) = a(b) + a(c)

The prime factor of 18 + 30 is written as;

18 + 30 = 2 x 3 x 3 + 2 x 3 x 5

18 + 30 = 2 x 3 x (3 + 5)

Simplifying the expression inside the parentheses gives:

2 x 3 x (3 + 5) = 6 (3 + 5)

applying distributive property we will have;

6 (3 + 5) = 6(3) + 6(5)

Thus, the final expression is; 18 + 30 = 6(3) + 6(5)

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how do I solve this linear inequality?
5x - 7 > 4x + 8

Answers

Step-by-step explanation:

just like an equation.

5x - 7 > 4x + 8 | -4x + 7

x > 15

and that is your result.

in contrast to an equation, an inequality delivers a range as result and not a single point.

Answer:

\(\huge\boxed{\sf x > 15}\)

Step-by-step explanation:

5x - 7 > 4x + 8

Subtract 4x to both sides, and Add 7 to both sides

5x - 4x > 8 + 7

x > 15

\(\rule[225]{225}{2}\)

Hope this helped!

~AH1807

Josie makes invitations for her aunt's paper company. Of all the invitations Josie makes, 15/21 are children's party invitations. Of those invitations, 3/5 have an animal on them. What fraction of the invitations Josie makes are children's party invitations with an animal on them?

Answers

Answer:

the fraction of the invitations considered to be an animal on them is \(\frac{3}{7}\)

Step-by-step explanation:

The computation of the fraction of the invitations considered to be an animal on them is shown below:

= Children party invitations × animal on them

\(= \frac{15}{21} \times \frac{3}{5}\\\\= \frac{3}{7}\)

Hence, the fraction of the invitations considered to be an animal on them is \(\frac{3}{7}\)

Helppppp asap!!!!! Solve the inequality 4−23x>2−x for x. Show your work below.

Answers

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

Alberto invested $5,000 at 6% interest
compounded annually. What will be the
value of Alberto's investment after 8 years?

Answers

Answer:

$7969.24

Step-by-step explanation:

5000*1.06 to power of 8 = 7969.24037265

round to 2dp = $7969.24

Answer:

7400

Step-by-step explanation:

Solve the following equation: 2x – 26 = x + 5

Answers

Answer:

x=31

Step-by-step explanation:

X=15.5 I hope this helps

help ASAP!!! answer e f g h question

help ASAP!!! answer e f g h question

Answers

Step-by-step explanation:

answer......

...........

help ASAP!!! answer e f g h question

can I PLEASE just get someone to help me...​

can I PLEASE just get someone to help me...

Answers

Answer:

the picture is blurry.

Step-by-step explanation:

Smartphones: A poll agency reports that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn. Round your answers to at least four decimal places as needed. Dart 1 n6 (1) Would it be unusual if less than 75% of the sampled teenagers owned smartphones? It (Choose one) be unusual if less than 75% of the sampled teenagers owned smartphones, since the probability is Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the Central Limit Theorem and the TI-84 calculator to find the probability. Round the answer to at least four decimal places. n=148 p=0.14 PC <0.11)-0 Х $

Answers

The solution to the problem is as follows:Given that 80% of teenagers aged 12-17 own smartphones. A random sample of 250 teenagers is drawn.

The probability is calculated by using the Central Limit Theorem and the TI-84 calculator, and the answer is rounded to at least four decimal places.PC <0.11)-0 Х $P(X<0.11)To find the probability of less than 75% of the sampled teenagers owned smartphones, convert the percentage to a proportion.75/100 = 0.75

This means that p = 0.75. To find the sample proportion, use the given formula:p = x/nwhere x is the number of teenagers who own smartphones and n is the sample size.Substituting the values into the formula, we get;$$p = \frac{x}{n}$$$$0.8 = \frac{x}{250}$$$$x = 250 × 0.8$$$$x = 200$$Therefore, the sample proportion is 200/250 = 0.8.To find the probability of less than 75% of the sampled teenagers owned smartphones, we use the standard normal distribution formula, which is:Z = (X - μ)/σwhere X is the random variable, μ is the mean, and σ is the standard deviation.

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The Easter bunny is a very picky eater . His diet only consists of two things : rabbit food and carrots . In one day his diet is rabbit food . 2/5 rabbit food.Using a fraction , what part of his diet is carrots

Answers

The fraction of the Easter bunny's diet is 3/5.

How to find the fraction of the Easter bunny's diet that is made up of carrots?

Let's assume that the Easter bunny eats a certain amount of food every day, and that this food is made up entirely of rabbit food and carrots.

Let's also assume that the fraction of the Easter bunny's diet that is rabbit food is 2/5.

We can use fractions to represent the proportion of the Easter bunny's diet that is made up of rabbit food and carrots.

Let's use "r" to represent the fraction of the diet that is rabbit food, and "c" to represent the fraction that is carrots.

Since the Easter bunny's diet consists entirely of rabbit food and carrots, we know that:

r + c = 1

In addition, we know that the fraction of the Easter bunny's diet that is rabbit food is 2/5, so:

r = 2/5

We can substitute this value for "r" in the first equation to get:

2/5 + c = 1

Subtracting 2/5 from both sides, we get:

c = 1 - 2/5

Simplifying, we get:

c = 3/5

Therefore, the fraction of the Easter bunny's diet that is made up of carrots is 3/5.

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HELP PLEASE. I DONT KNOW IF ITS 30 OR 180

HELP PLEASE. I DONT KNOW IF ITS 30 OR 180

Answers

Yes you are correct , 6√5 is equivalent to option (d) √180.

To see why, we can simplify √180 as follows:

√180 = √(36 × 5) (since 36 is a perfect square that can be factored out)
√180 = √36 × √5 (using the product rule of square roots)
√180 = 6√5

Therefore, 6√5 is equivalent to √180.

Answer:

Step-by-step explanation:

6\(\sqrt{5\\\)

\(\sqrt{5*36}\)

\(\sqrt{180}\)

If you think about it logically, how can you take 6 out? So there was a number 36 under the root, and because of that there is a possibility to take it out, because 6 squared is 36

Name the remote interior angles of B
EAC
D

Name the remote interior angles of BEACD

Answers

The remove interior angles of angle BCD are given as follows:

<A and <C.

What are remote interior angles?

Remote interior angles are defined as the angles of a triangle that do not share a vertex with a given exterior angle

The exterior angle for the triangle is angle C, hence angles <A and <B are the remote interior angles of the triangle relative to angel C.

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pls help asap! ill give brainliest:))

pls help asap! ill give brainliest:))

Answers

Answer:

the answer should be 38.75

qt = a + bt +cd the equation is estimated using quarterly data from 2005 i - 2015 iii (t = 1,..., 43). the variable d is a dummy variable for the second quarter where: d = 1 in the second quarter, and 0 otherwise. the results of the estimation are: given the above, what is the estimated intercept of the trend line in the third quarter? selected answer: incorrect 24.50 answers: 24.50 correct 22.50 2.00 24.36 none of the above

Answers

The given equation is:

qt = a + bt + cd

To estimate the intercept of the trend line in the third quarter, we need to substitute the values into the equation. Here, t represents the quarter number.

The variable d is a dummy variable that takes the value 1 in the second quarter and 0 otherwise. Therefore, in the third quarter, d will be 0.

The results of the estimation are not provided, so we cannot directly determine the values of a, b, or c. However, we can determine the intercept by plugging in the values of the coefficients based on the given options.

Let's go through each option:

Option 1: 24.50 - Incorrect

Option 2: 22.50 - Correct

Option 3: 2.00 - Incorrect

Option 4: 24.36 - Incorrect

Option 5: None of the above

Based on the given options, the correct estimated intercept of the trend line in the third quarter is 22.50.

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5
Select the correct answer from the drop-down menu.
In a two-digit number, the tens digit is twice the ones digit. The difference of the ones digit and half the tens digit is 0.
An equation created to find the digit in the ones place will have
Reset
Next

Answers

Answer:

one solution i really hope this helps

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

i took the test

Mooberry Creamery uses 2 cups of ice cream in each milkshake. How many milkshakes can they make with 1 gallon of ice cream?


ANSWER
8 milkshakes
Step-by-step explanation
16 cups in a gallon. 2 cups per milkshake. 8 milkshakes are the answer

Answers

Answer:

8 milkshakes

Step-by-step explanation:

16 cups in a gallon. 2 cups per milkshake.

16/2=8

The temperature in the morning is 18.6°C. By noon the temperature rises 8.5°C.

What is the temperature at noon?

Answers

Answer: 27.1

Step-by-step explanation:

18.6 + 8.5 = 27.1 hope it helps

Answer:

27.1

Step-by-step explanation:

18.6 + 8.5 = 27.1

Hope this helps :))

Which of the following describes an inference?
Please help ASAP!!!

Which of the following describes an inference?Please help ASAP!!!

Answers

Answer:

Step-by-step explanation:

I would say it is B

An inference is something that is not directly stated by logical deduction can be a reasonable conclusion to a conclusion drawn.

Example

There was a  person standing in front of me waiting for a bus. I made it guess that it was a girl because she was wearing pink shoes and had a pink phone in her back pocket.

I know that's a bit sexist, but I could not think of another answer. You should, however, note the evidence.

It is B, since inferences always need a educated guess.

Given f(x) = 6(1-x), what is the value of f(-5)?

Answers

f(x)=36

Explanation:
when you plug -5 in place of x into the equation, you are left with 6(1-(-5)). Since subtracting a negative is the same as adding a positive, we know that 1+5=6 which leave us with 6(6) which is 36.

Hope that helps! :)

Evaluate lim f(x) and lim f(x) for the following function. Use co or co where appropriate. Then give the horizontal asymptote(s) of f (if any).
f(x)= 3x^3+8/4x^3+√ 64x^64

Answers

The limit of f(x) as x approaches positive infinity and negative infinity is equal to 3/4, and the horizontal asymptote of the function is y=3/4.

The horizontal asymptote of a function is a horizontal line that the function approaches as x approaches infinity or negative infinity.

The function f(x) is given by

=> f(x)= 3x³ + 8/4x³ + √ 64x⁶⁴.

To evaluate the limits, we need to consider what happens as x approaches positive infinity and negative infinity.

In this case, as x approaches positive infinity or negative infinity, the x³ term in the numerator and denominator will dominate and the limit of the function will be equal to 3/4.

This means that the function has a horizontal asymptote of y=3/4.

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Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

y – 1 = 6x
y – 1 = 3x
y – 7 = 2x – 6
y – 7 = x – 2

Answers

Answer:

the 2nd equation

Step-by-step explanation:

use formula for slope

y2-y1/x2-x1 =m

7-1/2-0=6/2

=3

y=3x+1

y-1=3x

Answer:

y – 1 = 3x

number 2

Step-by-step explanation:

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