A community is building a square garden with a walkway around the perimeter with the design shown at the right. Find the side length of the inner square that would make the area of the inner square equal to 75% of the total area of the garden. Round to the nearest tenth of a foot. 1. What is an expression for the area of the inner square? 2. What is the area of the entire garden? 3. What is 75% of the area of the entire garden? 4. Write an equation for the area of the inner square using the expressions from Steps 1 and 3. 5. Solve the quadratic equation. Round to the nearest tenth of a foot. 6. Which solution to the quadratic equation best describes the side length of the inner square? Explain.

An irrational number.

Example: Pi. Pi doesn’t have an ending as far as we know, so it cannot be written as a fraction.

Answer:

Any irrational no. Such as √2, √3, π, etc. Cannot be written as a fraction

Hope this helps!

Answer:

A.

[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]

Step-by-step explanation:

First find the sum

[tex]\sum f=4+6+1+4+5=20.[/tex]

Now, find the probabilities:

Hence, the frequency distribution table is

[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]

Using the probability concept, it is found that the following probability table corresponds to the frequency table:

x 1 2 3 4 5

p 0.2 0.3 0.05 0.2 0.5

Which is the first table.

In the frequency table:

The probability of each outcome is:

[tex]p(1) = \frac{4}{20} = 0.2[/tex]

[tex]p(2) = \frac{6}{20} = 0.3[/tex]

[tex]p(3) = \frac{1}{20} = 0.05[/tex]

[tex]p(4) = \frac{4}{20} = 0.2[/tex]

[tex]p(5) = \frac{5}{20} = 0.25[/tex]

Then, the corresponding table is:

x 1 2 3 4 5

p 0.2 0.3 0.05 0.2 0.5

Which is the first table.

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Answer:

c = 5

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 : a ≠ 0

Given

- 6 = x² + 4x - 1 ( add 6 to both sides )

0 = x² + 4x + 5 ← in standard form

with c = 5

Answer:

Step-by-step explanation:

If

72 cents ---> 6 ounces

Xcents  -----> 8 ounces

then

X = [(72)*(8)] / 6

X = 96 cents

Best regards

The yogurt company charges 12 cents per ounce. Therefore, an 8 ounce container would cost 96 cents.

The subject of this question is about cost per ounce for a yogurt container. First, we need to find the cost per ounce. This would be the total cost divided by the number of ounces. In this case, 72 cents for a 6 ounce container gives us 72/6 = 12 cents per ounce. If we then want to find the cost of an 8 ounce container, we can multiply the cost per ounce by the number of ounces. So, 12 cents per ounce times 8 ounces equals 96 cents. Therefore, an 8 ounce container would cost 96 cents.

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[tex]\bold{Hey\ there!} \\ \bold{Do\ PEMDAS} \\ \\ \bold{P:parentheses}\\ \bold{E:exponent}\\ \bold{M:multiplication}\\ \bold{D:division} \\ \bold{A:addition}\\ \bold{S:subtraction}[/tex]

[tex]\bold{29-(5+5)-10\div2}\\ \bold{5+5=10}\\ \bold{29-10-10\div2}\\ \bold{29-10=19}\\ \bold{19-10\div2}\\ \bold{10\div2=5}\\ \bold{19-5=14}\\ \\ \\ \boxed{\boxed{\bold{Answer:C.14}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Answer:

1 pound

Step-by-step explanation:

12/3= 4

16/4=4

4/4=1

To find the weight of the frame nails that Dylan bought, which is 3/4 of the total weight of 12/16 pound, we multiply the total weight by 3/4 to get 9/16 pound.

The subject of this question is mathematics and it appears to be aimed at a middle school level. Dylan bought a total of 12/16 pound of plywood nails and frame nails, and we are asked to determine the weight of the frame nails, which is 3/4 of the total weight. To find the weight of the frame nails, you simply multiply the total weight by 3/4:

Therefore, the weight of the frame nails is 9/16 pound.

The solution of the expression is,

⇒ x = 3,211 / 1,014

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (x + 2 3/13) - 1 7/26 = 4 5/39

Now, We can simplify as;

⇒ (x + 2 3/13) - 1 7/26 = 4 5/39

⇒ x + 29/13 - 33/26 = 161/39

⇒ x + 58/26 - 33/26 = 161 / 39

⇒ x + 25/26 = 161 / 39

⇒ x = 161/39 - 25/26

⇒ x = (4,186 - 975) / 1014

⇒ x = 3,211 / 1,014

Thus, The solution of the expression is,

⇒ x = 3,211 / 1,014

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Answer:

x = 10

Step-by-step explanation:

Given

4x + 8y = 40 ← substitute y = 0, then

4x + (8 × 0) = 40

4x + 0 = 40

4x = 40 ( divide both sides by 4 )

x = 10

Half the cards are even, 70/2 = 35 even cards.

The probability of picking an even card = 35/70, which reduces to 1/2

The theoretical probability of the event when picking from a deck of flashcards is [tex]\({\frac{35}{70}}\)[/tex].

To find the theoretical probability of picking an even number from a deck of 70 flashcards, we need to calculate the number of favorable outcomes (even numbers) and divide it by the total number of possible outcomes (all numbers from 1 to 70).

The total number of flashcards is 70, so there are 70 possible outcomes.

Since each card has a unique number from 1 to 70, there are 35 even numbers within this range (2, 4, 6, ..., 70). This is because the even numbers are every other number in the sequence from 1 to 70.

Therefore, the number of favorable outcomes (even numbers) is 35.

 The probability of picking an even number is the number of favorable outcomes divided by the total number of possible outcomes:

[tex]\[ P(\text{the number is even}) = \frac{\text{Number of even numbers}}{\text{Total number of flashcards}} \] \[ P(\text{the number is even}) = \frac{35}{70} \][/tex]

Therefore, the final answer, as requested, is [tex]\({\frac{35}{70}}\)[/tex].

You just have to choose the middle one

Answer:

It would be 230

Step-by-step explanation:

but you have to do 230 + 230 and then divide by 2. I mean simple math :| but good luck guys/girls!

*STOP cheating!!

[tex]a{x}^{2}+bx+c\\Since \: a = 1> 0, the \: parabola \: will \: open \: up[/tex]

the answer is 4953 * 100 which is equal to 495300

Answer:

The Number written by lance = 4,953

Face value of ,9 in 4953 = 9

Place value of , 9 in 4953 = 9 × 100=900

So, the number could be

1. 100 × Face value of , 9 in 4,953 = 100 × 9=900

2. 100  × Place value of , 9 in 4,953 =100 × 900=90,000

Answer: The axis of symmetry would be -4. We can easily find it by graphing the equation.

Answer:

7x-3x = 4x?

I think

7x-3x

i dont really know

Answer:

6936

Step-by-step explanation:

Use long multiplication to evaluate

Answer is 28.07. im sure its correct

Answer:

1. The solution to a system is an ordered pair that solves both equations.  

2. A solution to a systems of linear equation is the point where the lines intersect

Step-by-step explanation:

Answer:

0, 8

Step-by-step explanation:

A reflection is the opposite direction so, if it's eight units to the left, the reflection will be eight units to the right, and we know the right is positive and left is negative.

Answer:

Step-by-step explanation:

First Question

The top question has 2 solutions because eventually you will have to take the square root of (x - 4)^2. One square root will be plus, and the other minus

(x - 4)^2 - 28 = 8                 Add 28 to both sides

(x - 4)^2 -28+28 = 8+28     Collect like terms

(x - 4)^2 = 36                       Take the square root.

sqrt( (x - 4)^2 ) = sqrt(36)    

x - 4 = +/- 6

=============

x - 4 = + 6      

x = 6 + 4

x = 10

============

x - 4 = - 6

x = - 6 + 4

x = - 2

The two solutions are (10,0) and (-2,0)

Second Question

The question is solved correctly up to the point where the square root needs to be taken. It is incorrect at that point.

x^2 - 6x - 7 = 0                             Add 7 to both sides.

x^2 - 6x  = 7                                  Add 1/2 the linear term and square it to both sides.

x^2 - 6x + (6/2)^2 = 7 + (6/2)^2    Expand the right

x^2 - 6x + 3^2 = 7 + 9                    

x^2 - 6x + 9 = 16                            express the square on the left

(x - 3)^2 = 16                                   Take the sqrt of both sides.

x - 3 = sqrt(16)

x - 3 = +/-4

============

x - 3 = 4

x = 4 + 3

x = 7

===========

x -3 = - 4

x = - 4 + 3

x = - 1

==========

Solutions

(7,0) and (-1,0)

Answer:

"Both powers should be in the denominator with positive exponents"

Step-by-step explanation:

One rule of exponents is  [tex]a^b=\frac{1}{a^-b}[/tex]

This means that the exponent changes sign when brought from numerator to denominator, or vice versa.

Looking at 2nd step of Tyler's work, we can see that he successfully used this rule with the exponent of x, but forgot to change the sign of the power of y to 9.

Since both the powers were negative when in the numerator, they should both be positive when taken to denominator. Hence, the correct answer is "Both powers should be in the denominator with positive exponents"

f(x)= 9x^3+ 2x^2 -5x+ 4

g(x)= 5x^3 -7x+ 4

f(x) - g(x)

= (9x^3+ 2x^2 -5x+ 4) - (5x^3 -7x+ 4)

= 9x^3+ 2x^2 -5x+ 4 -5x^3+ 7x -4

= (9x^3 -5x^3)+ 2x^2+ (7x -5x)+ (4-4) (combine like terms)

= 4x^3+ 2x^2+ 2x

= 2x* (2x^2+ x+ 1)

The final answer is 2x* (2x^2+ x+ 1).

The average change in value per month is 2

$226.25 .

To find the average change in the value of Jeunesse's retirement account per month, you divide the total fall in value ($678.75) by the number of months (3). This results in an average monthly decrease of $226.25.

The problem requires us to compute the average change in Jeunesse's retirement account over a period of three months. The total change is $678.75. To calculate the average change for each month, we need to divide the total change by the number of months. This is also known as finding the average rate of change.

So, to compute it for Jeunesse's retirement account, we have:

Therefore, the average change per month in Jeunesse's retirement account is -$226.25.

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Answer:

42 miles.

Step-by-step explanation:

It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.

Speed of Mr. Rivers = 48 mph

Speed of Mrs. Rivers = 36 mph

We need to find the distance between them at 10:30 a.m.

10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour

Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24

Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18

Total distance covered by both in half hour = 24 + 18 = 42

Therefore, they are 42 miles far from each other at 10:30 a.m.

Answer:

42 miles

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

There are no values of  b

that make the equation true.

No solution

Answer:

The answer is 30

Step-by-step explanation:

10 + 10 + 10 = 30

          (3 x 10)

The answer is 30 but 10 to the power of three is 1000

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In an expression, there are terms, which are a number(s) that are combined by multiplication but separated by addition (if you see subtraction it's just adding the negative version of the number).  In this case, there are 5 terms.  A term can have a variable or it can be a constant.  A constant is just a number.  We can combine constants.  For example, in this case, we can combine 22 and -8 to get 14.  (just adding).  If it has a variable, we can only combine two terms if they have the same variable, so 5m and -4m can be combined to get m.  We replace the terms we have combined with the combined terms so we have m + 7n + 14.

Answer:

1.07p or p + 0.7p

Step-by-step explanation:

The price of any item plus 7% tax can be found by writing an expression. You can write an expression using a variable p where p is the price. You will pay the 100% the whole price and add on 7% of the price as tax. This means you pay 100 + 7 = 107% of the price p. This is 1.07p. Or you can also write it as p + 0.07p.

The length of UC is 18

First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.

We can infer from our picture that JN is 82 + 105, so JN = 187

We can also infer that JU = JH + HU

                                     JU = 22 + 96

                                     JU = 118

We can also infer that CN = 51

Now we can fin the length of UC:

[tex]UC=JN-(JU+CN)[/tex]

[tex]UC=187-(118+51)[/tex]

[tex]UC=18[/tex]

We can conclude that the length of UC is 18.

Answer:

The correct answer is UC = 18

Step-by-step explanation:

From the given figure we can see that,

total length JN =  82 + 105 = 187

To find the length UC

From figure we can write,

UC = Total length - ( JU + CN) = JN - ( JU + CN)

JU = JH + HU = 22 + 96 = 118

UC = JN - ( JU + CN)

     = 187 - (118 + 51)

     = 187 - 169 = 18  

Therefore the length of UC = 18

Answer:

Binomial

Step-by-step explanation:

P = a² + bcd³

The polynomial contains two terms, so it is a binomial.

Answer:

The answer is a binomial.

Step-by-step explanation:

In order to determine the answer, we have to know about polynomial.

A polynomial is an mathematical expression where there are different terms. A term is just a variable, representing by a letter, and a coefficient. Terms are different when they have different variable, independent of their coefficients.

When the mathematical expression has just one term, it is called monomial, when it has two terms, it is called binomial, when it has three terms, it is called trinomial.

The polynomial is:

[tex]a^2+bcd^3[/tex]

In this case, there are two terms, so the polynomial is a binomial.