Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:


rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3


Write an equation to determine the area, A, of the patio that will be painted.


A = (x + 18)(x + 35)

A = (x + 15)(x + 25) + 30

A = (x + 5)(x + 22)

A = (x + 25)(x + 15) − 30

Step-by-step explanation:

everything has been explained in the image above

Answer:

x>-7

Step-by-step explanation:

Answer:

3x+4x+y-2+1+2

Step-by-step explanation:

just break up each number into smaller parts make sure you have a variable on each part if the whole nnumber has a variable!

The expression 3x + 4x + y/2 + y/2 - 2 - 2 has six terms and is equal to the original expression 7x + y - 4.

The original expression given in the question is 7x + y - 4. The task is to write an expression with at least 6 terms that is still equal to this original expression. We can do this by breaking down some of the terms in the original expression. Like this: 3x + 4x + y/2 + y/2 - 2 - 2. Here, the term 7x is broken down into 3x and 4x. The term y is broken down into y/2 and y/2. And the term -4 is broken down into -2 and -2. Even though we now have six terms instead of three, the expression still equals to the original expression 7x + y - 4.

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Answer:

8(7+4) (C.)

Step-by-step explanation:

First find the greatest number that can go into 56 and 32:

8!

Then we can see if C. works because it is the only one with an 8 out in front:

[tex]8*7=56[/tex]

and...

[tex]8*4=32[/tex]

So C. is the right answer!

Answer:

Add x x and 0 0 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x+7 f - 1 ( x ) = x + 7 is the inverse of f(x)=x−7 f ( x ) = x - 7

Step-by-step explanation:

Answer:

20x-12 and -12x+21

Which is then 8x+ 9

Step-by-step explanation:

Answer:

the answer is 8x + 9

Step-by-step explanation:

Answer:

1. (-2,2) 2.(4,2)

Step-by-step explanation: since number 1 isn’t negative and positive the x I see negative 2. For number 2 it is positive positive. So x is 4 And they y value is 2 hope this helps

Answer:

I graphed the equation on the graph below.

Step-by-step explanation:

If this answer is correct, please make me Brainliest!

Answer:

B

Step-by-step explanation:

x-axis only

The 10th term in the geometric sequence can be found by using the common ratio of 1/3 and applying it to the formula T(n) = a1 * r^(n-1). The 10th term is determined to be 1/9.

Calculating the 10th Term of a Geometric Sequence

To find the 10th term in the geometric sequence (2187, 729, 243, 81, 27), we first need to determine the common ratio (r). We can find r by dividing any term by its preceding term. Using the second and first terms, we get:

r = 729 / 2187 = 1/3

With the common ratio identified, we can use the formula for the nth term of a geometric sequence:

T(n) = a1 * r^(n-1)

Where a1 is the first term of the sequence and n is the term number. So, the 10th term (T(10)) is calculated as:

T(10) = 2187 * (1/3)^(10-1) = 2187 * (1/3)^9

To calculate this, we simply apply the exponent to the common ratio:

T(10) = 2187 * 1/19683 = 2187 / 19683 = 1/9

Therefore, the 10th term of the geometric sequence is 1/9.

Answer:

2299 in^2

Step-by-step explanation:

The formula for the volume of a square pyramid of base A and height h is

V = (A)(h).

Here, the perimeter of the base is 44 inches, so that the length of one side must be (44 in) / 4, or 11 in.  The area of a square of side s is A = s^2, so we have:

Here, V = (11 in)^2 * (19 in) = 2299 in^2

Answer:

[tex] = > 2x + 8y + 3x + y \\ \\ = > 5x + 9y[/tex]

Answer:

5x + 9y

Step-by-step explanation:

Combine like terms (terms with the same variables as well as the same amount of variables).

2x + 3x + 8y + y = (2x + 3x) +(8y + y)

Combine:

2x + 3x = 5x

8y + y = 9y

5x + 9y is your answer.

~

Answer:

[tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

Step-by-step explanation:

We can use the following trigonometric property that relates the sine function and the cosine function:

[tex]sin^2\theta+cos^2\theta=1[/tex]

we solve for [tex]sin \theta[/tex]:

[tex]sin^2\theta=1-cos^2\theta\\\\sin\theta=\sqrt{1-cos^2\theta}[/tex]

we are give the value of [tex]cos\theta[/tex]:

[tex]cos\theta =\frac{1}{3}[/tex]

so we substitute this value:

[tex]sin\theta=\sqrt{1-(\frac{1}{3} )^2}[/tex]

and we solve the expression:

[tex]sin\theta=\sqrt{1-\frac{1}{9} } \\\\sin\theta=\sqrt{\frac{8}{9} } \\\\sin\theta=\frac{\sqrt{8} }{\sqrt{9} } \\\\sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

the answer is: [tex]sin\theta=\frac{2 \sqrt{2} }{3 }[/tex]

To calculate the group admission prices for 5, 11, and 23 members at Wild World, we use the given equation p = 50 + 10n. The resulting prices are $100 for 5 members, $160 for 11 members, and $280 for 23 members.

The group admission price at Wild World is determined by the equation p = 50 + 10n, where p is the total price and n is the number of members in the group. To find the prices for groups with 5, 11, and 23 members, we substitute the corresponding values of n into the equation.

The prices for groups with 5, 11, and 23 members are $100, $160, and $280 respectively.

Answer:

6

Step-by-step explanation:

So you're choosing a bagel and a drink.

There are three different types of bagels and two different types of drinks

You just simply multiply three by two, and that is the number of combinations :)

Answer:

I believe it is B

Step-by-step explanation:

The probabilities for various selections of pledges and full members from a sorority are calculated based on the composition of the group and the number of members remaining after each selection.

When selecting two persons at random from a sorority with 33 members consisting of 23 full members and 10 pledges, the probabilities requested can be calculated as follows:

Answer:

x=4

Step-by-step explanation:

1.5(x + 4) - 3 = 4.5(x - 2)

Distribute

1.5x +6 -3 = 4.5x -9

Combine like terms

1.5x +3 = 4.5x -9

Subtract 1.5x from each side

1.5x -1.5x +3 = 4.5x -1.5x -9

3 = 3x-9

Add 9 to each side

3+9 = 3x-9+9

12 = 3x

Divide each side by 3

12/3 =3x/3

4=x

Answer:

B. 4

Step-by-step explanation:

Remember the acronym: PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction).

P: The expressions in the parentheses are not solvable as they are.

E: There are no exponents.

M: On the left, multiply 1.5 by x, giving you 1.5x, and by 4, giving you 6. We now have 1.5x + 6 -3 on the left. On the right, do the same. Multiply 4.5 by x, giving you 4.5x, and then multiply 4.5 by -2, giving you -9. Our expression is now 1.5x + 6 - 3 = 4.5x - 9.

D: There is no division in the problem.

A: There is no addition in the problem.

S: Subtract the 3 from the 6 on the left:. We now have 1.5x + 3 = 4.5x - 9.

Now that were all simplified, lets solve. Subract 1.5x from both sides so that only one side has x, so it can be solved. We now have 3 = 3x - 9.

Add 9 to both sides, to simplify even further. We now have 12 = 3x.

For the final step, we need to isolate x. To do this, we need to get rid of the coefficient. We know that 3 and x are being multiplied, so we can just divide to undo it. Keep in mind that we need keep both sides equal, so we divide both sides. By what? By 3. Now, we have our final answer:

x = 4

the correct answer is:

The length of the pool is 21 feet, which is equivalent to 7 yards when converted (21 feet ÷ 3).

To find the length of the pool in yards, we first need to find its dimensions in feet. We know the pool is shaped like a rectangular prism, so we have:

- Depth (D) = 4 feet

- Width (W) = 8 feet

To find the length (L), we can use the formula for the volume of a rectangular prism:

[tex]\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Depth} \][/tex]

Given that the volume of the pool is 672 cubic feet, we can plug in the known values:

[tex]\[ 672 = L \times 8 \times 4 \][/tex]

Solving for L:

[tex]\[ L = \frac{672}{8 \times 4} \]\[ L = \frac{672}{32} \]\[ L = 21 \][/tex]

So, the length of the pool is 21 feet.

Now, to convert this to yards, we know that 1 yard is equal to 3 feet. Therefore:

[tex]\[ \text{Length in yards} = \frac{21}{3} = 7 \][/tex]

So, the length of the pool in yards is 7 yards.

Answer:

-8p-80

Step-by-step explanation:

The equivalent expression of the expression 4 (- 15 - 3p) - 4 (- p + 5) is (- 8p - 80). Hence option 1 is true.

Used the concept of the equation that states,

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

Given that,

The equation is,

4 (- 15 - 3p) - 4 (- p + 5)

Now simplify the expression by combining like terms and applying distributive property,

4 (- 15 - 3p) - 4 (- p + 5)

Apply distributive property,

- 60 - 12p + 4p - 20

- 8p - 80

Therefore, option 1 is true.

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We have been given that Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. We are asked to find the total cost of the material.  

To find the total cost of material, we will multiply the total yards of material by cost of material per yard as:

[tex]\text{Total cost of material}=\$2.50\times 3\frac{1}{4}[/tex]

[tex]\text{Total cost of material}=\$2.50\times \frac{13}{4}[/tex]

[tex]\text{Total cost of material}=\$0.625\times 13[/tex]

[tex]\text{Total cost of material}=\$8.125[/tex]

Upon rounding to nearest cent, we will get:

[tex]\text{Total cost of material}\approx \$8.13[/tex]

Therefore, the total cost of the material would be $8.13.

To express b in terms of A and h, we use the formula for the area of a triangle. By rearranging the equation, we find that b = (2A)/h.

To express b in terms of A and h in the formula for the area of a triangle, A = (bh)/2, we can rearrange the equation. First, multiply both sides of the equation by 2 to eliminate the fraction:

2A = bh

Next, divide both sides of the equation by h to isolate b:

b = (2A)/h

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Answer:

1. 9.9

2. 63

3. 151.2

4. 3.68

5.4.2

6. 70.4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1. You star by figuring out what are the factors 24.(1,2,3,4,6,8,12,24).

2. Then you find the factors of 16.(1,2,4,8,16)

3. Then you look at the numbers and figure out which on is the largest. Which is 8

Answer:

35

Step-by-step explanation:

23 + 12 = 35

= (20 + 10) + (3 + 2)

= 35

Answer:

i think this is how you find it but i apologize if im wrong

Step-by-step explanation:

Use binomial probability since there are only two possibilities: success and failure, where success represents getting a heads, and tails being a fail. Therefore we are trying to find P(X=2), which is (42)⋅(0.5)2⋅(0.5)2=0.375.

The probability that you get two or more coins that land heads up is 0.6875.

Theoretical probability is an approach in probability theory that is used to calculate the probability of an outcome of a specific event.

The following histogram shows the theoretical probability of the number of heads you might get after flipping for coins simultaneously.

If you were to flip four coins what is the probability that you get two or more coins that land heads up is;

Probability = flip 0 coin + flip 1 coin + flip 2 coin

Probability = 0.375 + 0.25 + 0.0625

Probability = 0.6875

Hence, the probability that you get two or more coins that land heads up is 0.6875.

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Answer: It mainly three

Step-by-step explanation:

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

Subtracting a negative is like adding

-n+(-4)+(4n)+6

Combine like terms

-n +4n  -4 +6

3n           +2

3n+2

Answer:

0.952380952

Step-by-step explanation:

bc sin is ac/cb so thats what i think