URGENT!! GIVING BRAINLIEST, 30 POINTS

Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet by 13 feet. The walls in the room are 9 feet tall, and the room contains two doors and two windows.


While determining how much paint to purchase, Charlotte finds the following information on the internet.


One gallon of paint typically covers 350 square feet.

The average door has an area of about 20 square feet.

The average window has an area of about 15 square feet.

Charlotte performs the following calculations to determine how much paint to buy.


She calculates the area of each of the four walls and finds that the total area of the walls, disregarding the doors and windows is 531 square feet.

There are two walls that have dimensions of 16 feet by 9 feet: 2(16 feet)(9 feet) = 288 square feet.

There are two walls that have dimensions of 13 feet by 9 feet: 2(13 feet)(9 feet) = 243 square feet.

Total area of walls: 288 square feet + 243 square feet = 531 square feet.

Next, she calculates that the doors and windows add an extra 70 square feet, making the total square footage 601 square feet.

Area of doors and windows: 2(20 square feet) + 2(15 square feet) = 40 square feet + 30 square feet = 70 square feet.

Total area, including doors and windows: 531 square feet + 70 square feet = 601 square feet.

Finally, she calculates that since one gallon of paint covers 350 square feet, she will need two gallons of paint.

= ⇒ 601(1) = 350x ⇒ 601 = 350x ⇒ 1.72 ≈ x

Since the paint Charlotte is buying only comes in gallons, she figures that she'll need to buy two gallons.


Do Charlotte's calculations make sense? Why or why not? Make sure to address each step in your answer and use complete sentences to explain your reasoning.

Answer:

13/28 still need to be mowed

Step-by-step explanation:

Least common denominator: 28

1(7)/4(7)=7/28

2(4)/7(4)=8/28

7/28+8/28=15/28

28-15=13

13/28

Hope this helps!

Answer:

[tex] \frac{1} {2^{-1}}[/tex]

Step-by-step explanation:

[tex] \huge \frac{1}{ {8}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {( {2}^{3} )}^{ - \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 3 \times \frac{1}{3} } } \\ \\ = \huge \frac{1}{ {{2} }^{ - 1 } } [/tex]

Answer:

[tex]x^2-x-12=(x-4)(x+3)[/tex]

Step-by-step explanation:

Factoring a Trinomial

A trinomial is expressed in the form

[tex]ax^2+bx+c[/tex]

Where a,b, and c are real constants.

Some trinomials can be factored as the product of binomials with real coefficients, while others cannot.

If possible, factoring can be done in several ways:

Each method is most likely applicable under certain circumstances. When the polynomial has a leading coefficient of a=1, the sum-product pattern is the fastest and easiest option.

We have the polynomial

[tex]x^2-x-12[/tex]

Here: a=1, b=-1, c=-12

The sum-product method needs us to find two numbers which sum is -1 and product is -12. Those numbers can be found by inspection by combining two divisors of 12, say 1 and 12, 2 and 6, or 3 and 4.

Only one of those pairs can be combined to produce a sum or subtraction equal to -1: Those numbers are -4 and 3. Thus the factorization is:

[tex]\mathbf{x^2-x-12=(x-4)(x+3)}[/tex]

Answer:

a)

(4a - 3b + 4) + (a + 3b - 1) =

4a - 3b + 4 + a + 3b - 1 =

5a + 3

b)

(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =

2x^2 - 3x - 3 - x^2 - 6x + 8  =

x^2 - 9x + 5

c)

(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =

3m^2 + 5m - 6 - m^2 - 4n + 5 =

m^2 + 5m - 4n -1

d)

(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =

4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =

7x^3 - 8xy^2 - 5y^2

e)

(5m + 2lm) + (l^2 - 3m^2 - 2lm) =

5m + 2lm + l^2 - 3m^2 - 2lm =

5m + l^2 - 3m^2

Answer:

2 and 3

Step-by-step explanation:

The square root of 8 is 2.82842712475

9514 1404 393

Answer:

Step-by-step explanation:

Let e represent the number of pounds of expensive chocolate in the bag. Then (3-e) is the amount of the other chocolate. The total cost of the bag will be ...

  6.00e +4.50(3 -e) = 15.00

  1.50e = 1.50 . . . . . . collect terms, subtract 13.50

  e = 1 . . . . . . . . . . . . .divide by 1.50

1 pound of expensive chocolate is used; 2 pounds of other chocolate is used.

Answer:

Step-by-step explanation:

3000

Answer:

12

Step-by-step explanation:

Answer:

2 and 2/3 inches

Step-by-step explanation:

v = l x w x h

[tex]\frac{32}{45}[/tex] = [tex]\frac{4}{5}[/tex] · [tex]\frac{1}{3}[/tex] · h

[tex]\frac{32}{45}[/tex] = [tex]\frac{4}{15}[/tex] h

cross-multiply to get 45 x 4 x h = 32 x 15

180h = 480

Answer:10.81

Step-by-step explanation:It’s 2.96-(-7.85)=2.96+7.85

Answer:

The answer is $1,175.34

Answer:

B.- [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:

[tex]\frac{2}{3} - \frac{1}{6}[/tex]

Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:

[tex]\frac{4}{6} - \frac{1}{6} = \frac{3}{6}[/tex]

3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.

Answer:

B

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/18

Answer:

8n - 3 = 25

Step-by-step explanation:

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

the answer os 60% of 20 is 12

10^2 x (3/5)^2 - 7

= 100 x 9/25 - 7

= 900/25 - 7

= 36 - 7

= 29

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

Work Shown:

A = event of losing $100

P(A) = probability event A occurs = 0.20

V(A) = net gain of event A happening = -100

B = event of gaining $30

P(B) = probability event B occurs =  0.80

V(B) = net gain of event B happening = 30

-----------------

E(X) = expected value

E(X) = P(A)*V(A) + P(B)*V(B)

E(X) = 0.20*(-100) + 0.80*(30)

E(X) = 4

The expected value is $4

This means the investor expects to get an average return of $4.

Answer:

No values of x- Any whole number that is not 8

All values of x: 8

Just one Value of x: There could be many possibilites but all of them have to be some value of x. One answer is:x

Step-by-step explanation:

3x + 8 = 3x + x, which has one solution at x=8.

The given equation is 3x+8=3x+ ____.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

If 3x + 8 = 3x + 7 has no solutions

If 3x + 8 = 3x + 8 has infinite solutions

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8

Therefore, 3x + 8 = 3x + x, which has one solution at x=8.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

y = 2x + 8

Step-by-step explanation:

The total cost is represented y. The total cost (y) is equal to the cost of the souvenirs (2x) in addition to the admission fee, $8.

Answer:

Step-by-step explanation:

3x+2

Answer:

7x - 6y = 16

y = (-5)

using substitution method

7x - 6(-5) = 16

7x +30 = 16

7x = 16 - 30

7x = 14

x = 14/7

x= 2

Answer:

Option A

a + s = 1650  ;   3.5a + 2b = 4580

Step-by-step explanation:

a ------> number of adult tickets

s ------> number of student tickets

Total tickets = $ 1650

a +s = 1650

Cost of 'a' number of adult tickets = 3.50*a = 3.5a

Cost of 's' number of student tickets = 2*s = 2b

Revenue raise = $ 4580

3.5a + 2b = 4580

Answer:

8.08 %

Step-by-step explanation:

Let us denote : [tex]X=[/tex] score X follows a normal distribution with mean [tex]=24[/tex] and standard deviation [tex]=1.5[/tex]

Step 2

The probability that someone scored 21.9 or less is :

[tex]\mathrm{P}(\mathrm{X} \leq 21.9)[/tex]

[tex]=\mathrm{P}\left(\mathrm{Z} \leq \frac{21.9-24}{1.5}\right)[/tex]

[tex]=\mathrm{P}(\mathrm{Z} \leq-1.4)[/tex]

[tex]=0.0808[/tex]

[tex]=8.08%[/tex]

Answer : [tex]8.08 %[/tex]

Answer: A:Yes

Step-by-step explanation:

This table shows a proportional relationship between the variables x and y.

Answer:

Your answer would be Yes

Step-by-step explanation:

Khan Academy

Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2