Laura has a backyard that she wants to renovate. Her
backyard is (x + 4) feet wide and (x + 6) feet long.
Laura wants to place a rectangular garden that is x
feet wide and (x + 2) feet long in the middle of her
backyard. Laura also wants to pour in concrete that
surrounds her garden in the backyard that will serve
as a walkway. What is the expression that represents
the area of the walkway? Refer to the diagram.

Answer:

The answer is C.

I hope this helped you.

Answer: 10 2/3 written as a decimal is 10.67

Step-by-step explanation:

first off you would have to convert the fraction 2/3 into a decimal and to do that you have to divide the numbers and that would give you 0.66666666666 which you then round up and therefore you get 10.67

Answer: (5+4) * 2 + 6 - 2 * 2 - 1

Step-by-step explanation:

(5+4) * 2 + 6 - 2 * 2 - 1

(9) * 2 + 6 - 2 * 2 - 1

18 + 6 - 2 * 2 - 1

18 + 6 - 4 - 1

24 - 4 - 1

20 - 1

19

First off, I'm going to assume you meant 6 * 10^3

George is wrong.

6 * 10^3 power equals 6000. The power of 3 equals 3 zeros.

George did 6 * 10 * 3, but we are working with exponents

Hope this helps!

Answer:

Disagree

Step-by-step explanation:

George multiplied 10 * 6 by three instead of raising it to the third power, like this: 60*60*60

Answer:

Jorge, do your own work

Answer:

Step-by-step explanation:

On average Christopher scores 2 goals per game

If the play is hard his goal total varies by 1 from the average

If the play is easy his goal total varies by 1 from the average

That is Christopher can score 1 goal more or 1 goal less depending upon the opponent team

He score maximum goals of 3 in a game or 1 in a game

The equation |x-2| = 1

When x = 3

|3-2| = 1

|1| = 1 True

When x = 1

|1-2| = 1

|-1| = 1

1 = 1 True

Answer:

w=22

Step-by-step explanation:

5(w-2)+10=3(2w-9)+5

1) Use the Distributive Property for 5(w-2) and 3(2w-9):

5w-10+10=6w-27+5

2) Combine alike terms:

5w=6w-22

3) Add a 22 to both sides:

22+5w=6w

4)Subtract 5w from both sides:

w=22

Answer:

12(f + 2)

Step-by-step explanation:

12F + 24 = 12 (f + 2)

Answer:

It is an algebraic expression that has an answer which can be determined by multiplying a known value of variable F by 2, and adding 24 to the outcome.

Step-by-step explanation:

2F + 24 is an algebraic expression which implies that if a variable F is multiplied by 2 and 24 is added to it, there would be a certain outcome. This expression has no answer unless the value of F is known.

By factorisation, the expression can be re-written as:

                  2F + 24 =  2 (F + 12)

which would give the same answer as the initial expression.

Therefore, the given algebraic expression represents a value which can be determined by multiplying a known value of variable F by 2, and adding 24 to the outcome.

(x−5)(x2−2x−6)

mutiply the brackets together

(x)(x^2)=x^3

(x)(-2x)=-2x^2

(x)(-6)=-6x

(-5)(x^2)=-5x^2

(-5)(-2x)=10x

(-5)(-6)=30

x^3-2x^2-6x-5x^2+10x+30

x^3-2x^2-5x^2-6x+10x+30 ( combine like terms)

x^3-7x^2+4x+30

Answer: x3−7x2+4x+30

Answer:

I can confirm that the answer above is indeed correct.

Step-by-step explanation:

Answer:

10 calories were burned for each minute of jogging  and  10 calories were burned for each minute of cycling.

Step-by-step explanation:

Let be "j" the amount of calories Shelly burned for each minute of jogging and "c" the amount of calories Shelly burned for each minute of cycling.

Set up a system of equations:

[tex]\left \{ {{10j+20c=300} \atop {20j+10c=300}} \right.[/tex]

You can apply the Elimination method: multiply the first equation by -2, then add the equations and  solve for "c":

[tex]\left \{ {{-20j-40c=-600} \atop {20j+10c=300}} \right.\\...............................\\-30c-300\\\\c=10[/tex]

Now, substitute the value of "c" into any original equation and solve for "j":

[tex]10j+20(10)=300\\\\10j=300-200\\\\10j=100\\\\j=10[/tex]

Answer:

10 times greater

Step-by-step explanation:

the 5 in 520 is in the  hundreds place value

The 5 in 50 is in the tens place value

50 *10 = 500

From units to tens-------------Multiply by 10 (2*10=20)

From tens to  hundreds-------Multiply by 10  (20*10=200)

From hundreds to thousands----Multiply by 10 (200*10=2,000)

And so on

The value of 5 in 520 is in the hundreds place, so it equates to 500. Conversely, the 5 in 750 is in the tens place, meaning it equals 50. Thus, the 5 in 520 is 10 times greater than the 5 in 750.

This question pertains to the place value in numbers, an essential mathematical concept. In the number 520, the digit 5 is in the hundreds place, which means its value is 5*100 = 500. On the contrary, in the number 750, the digit 5 is in the tens place, hence, it's value is 5*10=50.

Therefore, to find out how many times the value of the 5 in 520 is greater than the value of the 5 in 750, divide the value of the 5 in 520 (which is 500) by the value of the 5 in 750 (which is 50). So, 500 divided by 50 equals 10. This reveals that the value of the digit 5 in 520 is 10 times greater than the value of the digit 5 in 750.

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Answer:

403 points

Step-by-step explanation:

Subtract 247 from 650

Answer:

the sum of two negative integers is a negative integer. true

the sum of two positive integers is a positive integer. true

to find the sum of a positive and a negative integer take the absolute value of each integer and then subtract these values.

true

the additive inverse of any integer and its opposite is equal to 0. false

The sum of any integer and its opposite is equal to zero.

Answer:

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

We have

(a, b ) → (a, - b ) ← reflection in the x- axis

Answer:

Put random numbers into your points and check the quadrants

Step-by-step explanation:

Answer:

okay, so you need to add the two angles that you already have and the subtract 180* from it and thats your answer. ( at least i learned it that way. lol )

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any [tex]b\neq 0[/tex] raised to the 0-th power will give 1. So [tex]a=3[/tex]

Once you know that, from the passing through (2,48) you get:

[tex] 48=3b^2\\ 16=b^2 b=4 [/tex]

Notice that,even if -4 satisfies the condition, exponential functions are defined only and only if the base is positive and not equal to 1. (if the base was 1, you'd get an horizontal line, and with a negative base the function starts losing meaning in the real plane in a series of points.

To write the exponential function in y = ab^x form, we use the given y-intercept and a point on the graph to find the values of 'a' and 'b'.

To write the exponential function in y = ab^x form, we need to find the values of a and b.
Based on the information given, we know that the y-intercept is (0,3), which means that when x = 0, y = 3.
So, we have the equation 3 = ab^0, which simplifies to a = 3. Now, using the point (2,48), we can substitute the values of a and x to find the value of b. We get 48 = 3b^2, which simplifies to 16 = b^2. Taking the square root, we find that b = 4. Therefore, the exponential function is y = 3 * 4^x.

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Answer:

point b

Step-by-step explanation:

Answer:

1.$186.63

2.$145.57

3.$7.27 more

4.65.65%

Step-by-step explanation:

Mike has two part time jobs.

Job 1: Ice-cream store

Number of hours worked= 8.5 hours

Payment per hour=$10.55

Job 2: Movie theater

Number of hours worked=7 hours

Payment per hour=$13.85

1. Earnings per week before taxes

⇒For job 1 will be; the product of hours worked and hourly payments

= 8.5×$10.55 =$89.68

⇒For job 2 will be;

=7×$13.85=$96.95

Total=$89.68+$96.95=$186.63

2.  Calculate amount taken as tax

    Find 22% of the amount earned

   = 22/100 * 186.63 =$41.06

  Remaining amount after tax will be;

   =$186.63-$41.06=$145.57

3.

The job that Mike earns the most before taxes is  at the Movie theater.

How much more will be; Earnings at Movie theater-Earnings at the Ice-cream store

=$96.95-$89.68

=$7.27 more

4.

After paying taxes the amount remaining is $145.57

After spending $50 on entertainment,the amount left will be;

$145.57-$50=$95.57

so to find the percent of remaining amount of Mike's paycheck will be;

95.57/145.57 *100=65.65%

Answer:

r = -2

Step-by-step explanation:

7(3r - 1) - (r + 5) = -52 distribute (the - sign too)

21r - 7 + -r - 5 = -52 add/ subtract like terms

20r - 12 = -52 subtract -12 and added to -52

     +12      +12

20r = -40 divide by 20

20r/20 = -40/20

r = -2

Answer:

a - d / b + c = x

Step-by-step explanation:

a - bx = cx + d

a = bx + cx + d

a - d = bx + cx

a - d = x ( b + c )

a - d / b + c = x

Answer:

1. cx

2. a

3. x

4. (-b -c)

Step-by-step explanation:

1. Subtract cx - from both sides

2. Subtract a from both sides

3. Factor x

4. Isolate x by dividing both sides of the equation by (-b -c)

Answer:

b. There are horizontal and vertical asymptotes

Step-by-step explanation:

The graph is a hyperbola with asymptotes of x=0 and y=0

The correct options regarding the graph of y = 1/x are:

b. There are horizontal and vertical asymptotes.

c. The graph intersects the x-axis in two places.

a. The domain of y = 1/x is all real numbers except x = 0 since division by zero is undefined.

b. The graph of y = 1/x has a vertical asymptote at x = 0, which means the function approaches infinity as x approaches 0 from the left side and approaches negative infinity as x approaches 0 from the right side.

There is no horizontal asymptote because the function does not approach a specific y-value as x approaches positive or negative infinity.

c. The graph intersects the x-axis in two places: once for positive x-values and once for negative x-values.

The x-intercepts occur when y = 0, which happens when x = 1 and x = -1.

d. The range of y = 1/x is y ≠ 0 since division by zero is undefined. The function can take on positive and negative values as x approaches positive or negative infinity, respectively.

Therefore, the range is y < 0 or y > 0, depending on the chosen interval.

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Alicia make 3 blankets with the fabric she bought.

Given, Alicia bought 5.75 yards of fleece fabric.

For one blanket She needs 1.85 yards of fabric.

We have to calculate the no. of blankets.

So, the no of blankets will be,

[tex]N=\frac{total \ yards}{yard\ needed \ 1 \ blanket}[/tex]

[tex]N=\dfrac{5.75}{1.85} \\\\N=3.10810[/tex]

Since the number of blanket must be a whole number so number of blanket here is 3.

Hence Alicia make 3 blankets with the fabric she bought.

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Answer:

If you think numbers with fractions are annoying, consider transforming the number into fractions!

Step-by-step explanation:

7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day

Answer:

8x - 5y = -75 or y = 1⅗x + 15

Step-by-step explanation:

5x + 8y = 16

-5x - 5x

_____________

8y = -5x + 16

___ ________

8 8

y = -⅝x + 2

↑

slope

Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:

-⅝ → 1⅗ [or 8⁄5]

7 = 1⅗[-5] + b

-8

15 = b

y = 1⅗x + 15 >> Perpendicular Line in Slope-Intercept Form

If wanted in Standard Form:

y = 1⅗x + 15

-1⅗x - 1⅗x

_____________

-1⅗x + y = 15 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

-5[-1⅗x + y = 15]

8x - 5y = -75 >> Perpendicular Line in Standard Form

I am joyous to assist you anytime.

Answer:

57

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

Devin brought his snail collection to school. He has 10 snails.

the smallest number of snails in the tank is 0 and the greatest number of snails in the tank is 10. Also the number of snails in each tank must be a whole number (Devin cannot put half of the snail into the tank). There are 11 whole numbers between 0 and 10.

Hence,  all 11 possibilities to divide snails into two tanks are:

[tex]\begin{array}{cc}\text{Tank 1}&\text{Tank 2}\\ \\0&10\\1&9\\2&8\\3&7\\4&6\\5&5\\6&4\\7&3\\8&2\\9&1\\10&0\end{array}[/tex]

The sums of two numbers in each row must be exactly 10 as the total number of snails Devin has.

Answer:

9 bookcases.

Step-by-step explanation:

Total number of books = 943

Total number of books placed in one shelf = 22

Total number of shelves in one bookcase = 5

Total number of books displayed in one bookcase = [tex]No.\ of\ shelves\ in\ 1\ bookcase\times\ No.\ of\ books\ in\ each\ shelf[/tex]

Total number of books displayed in one bookcase= [tex]5\times 22=110[/tex]

Total number of bookcase required = [tex]\frac{total\ no.\ of\ books}{Number\ of\ books\ displayed\ in\ 1\ bookcase}[/tex]

Total number  of bookcase required = [tex]\frac{943}{110} =8\frac{63}{110}[/tex]

So, 880 books can be displayed in 8 bookcases. and for the remaining 63 books we also require one more bookcase. Therefore, the total number of bookcases needed are 9.

Step-by-step explanation:

It is a heptagon

sum of internal angle = 900

X + 120 + 158 + 126 + 125 +121 + 139 = 900

X + 789 = 900

X = 900 -789

X = 111 degree

Answer:

113

$1.13

Step-by-step explanation:

22x + 3 when x = 5 is written 22(5) + 3

You multiply first, 22(5) = 110 + 3 = 113

a nickel is worth .05 so you mulitply .05 x 22 which gets you 1.1 and 3 pennies is .03 and when you add the two together you get $1.13

Answer: The value of 22x+3 is 113. The amount of money that equals 22 nickels and 3 pennies. That answer is also 1113.

Step-by-step explanation:

For the first problem u want to basically do 22 times 5 and that gives you 110. Then after doing that u want to do 110+3 which equals 113.

For the second one since nickels equal 5 cents u want to do 22•5 which gives you 110 and then you do 110+3 and that gives you 113.

Answer:

a. -35

Step-by-step explanation:

-28 - 8 = -35

Answer:

A.  -35

Step-by-step explanation:

When subtracting two negative numbers, you are essentially adding the numbers and adding the negative sign next to it:

-27 - 8 = - (27 + 8) = - (35)

A. -35 is your answer.

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