The Stockton Hotel has plans to carpet the floor of a ballroom that has a width of 35 feet and a length of 50 feet. A 1.5-foot border of tile around the room will be installed, What is the area of the floor that will be covered with carpet? 1,504 ft2 1,673.25 ft2 1,584.75 ft2 1,750 ft2

Answer:

5c/4

Step-by-step explanation:

c = c × 1

0.25c = 0.25c × 1

c + 0.25c

Take " c " common.

= c × (1 + 0.25)

= c × 1.25

Convert 1.25 into a simpler fraction

1.25

= 125/100

= 5/4

c × 1.25

= c × 5/4

= (c × 5)/4

= 5c/4

The fractional coefficient is (5c/4)

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term

Given:

\(\sf c+0.25c\)

\(\sf =(1+0.25)c\)

\(\sf =(1.25)(c)\)

\(\sf =1.25c\)

\(\sf =\dfrac{125}{100}\)

\(\sf =\dfrac{5}{4}\)

\(\sf =\dfrac{5c}{4}\)

Hence the fractional coefficient is (5c/4)

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Question 3:

Since it does not start proportional, I would assume there was 1.6 meters already in the pond.

I would say the rate of change is 0.4 Meters per hour.

I believe this because in the last 2 hours it went from 2 meters to 2.8 meters.  This makes me believe there was 1.6 meters already because if you count the first hour you can do 2-0.4=1.6

In conclusion the rate of change is 0.4 Meters per hour.

For question 4:

The rate of change is $7.75 per hour or $7.75/hour

Step-by-step explanation:

I got this answer by finding how much Sarah makes per hour.

15.50=2 therefore if you divide both sides by 2 you get 7.75=1

7.75=1 means Sarah makes 7.75 per hour.

Then, to check my answer I multiplied the unit rate of 7.75=1 by 4

This gave me 31.00=4 or Sarah makes 31.00 for every 4 hours.

In conclusion, the rate of change is $7.75 per hour

Answer: A

Step-by-step explanation:  578*0.09=52.02~ is 50

Answer:

3(16x+9)/4

make sure it's a fraction

Answer:

27 11/4x

Step-by-step explanation:

First we add the similar parts of the expression.

Whole numbers

6 + 9 + 5 + 7 = 27

Then we add the fractions that dont have x.

We only add the numerators (2 and 3) and dont change the denominators (4)

2/4 + 3/4 = 5/4

Now we add the ones with x.

5/4 + 3/4x + 3/4x = 11/4x

Now we combine those parts together, making

27 11/4x

sorry if Im wrong

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

Step-by-step explanation:

ab − cd = 0

ab − cd+− ab= 0 +− ab

−cd=−ab

− cd/−d = − ab /−d

c = ab / d

Answer:

48.1 somewhere around 36 and 57

Step-by-step explanation:

Answer:

36-57

Step-by-step explanation:

18.50 x 2.6 = 48.10, which is between those two numbers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Step-by-step explanation:

(2x + 45)° and x° are supplmentary angles.

(Sum of angles on a straight line = 180°)

Hence 2x + 45 + x = 180, 3x = 135, x = 45.

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer:

question 4. Is A.

Step-by-step explanation:

Answer:

for question 4 it A.

Step-by-step explanation:

Answer:

65 years old.

Step-by-step explanation:

Define the variables:

Given:

Create two equations with the given information and defined variables:

\(\begin{cases}y = 13x\\y + 1 = 11(x + 1)\end{cases}\)

Substitute the first equation into the second equation and solve for x:

\(\implies 13x+1=11(x+1)\)

\(\implies 13x+1=11x+11\)

\(\implies 2x=10\)

\(\implies x=5\)

Substitute the found value of x into the first equation and solve for y:

\(\implies y=13(5)\)

\(\implies y=65\)

Therefore, the age of the grandparent now is 65 years.

Given statements:

Let us represent the character's age by variables. Assuming that the grandparent's age is G and the granddaughter's age is D. Now, using the obtained variables and the statements, create two equations that represents the provided statements. Then, we can compare the equations and simplify if needed to determine the value of the variables.

    \(\implies \left[\begin{array}{ccc} \text{G = 13D} \\ \text{G + 1 = 11(D + 1)}\\\end{array}\right]\)

Since G = 13D is in the form of direct variation, we can substitute the value of G into the second equation to determine the value of D (the age of the granddaughter). Then, we can substitute the value of D into any of the two equations to determine the age of the grandparent.

To solve for D, simplify both sides of the equation by using the distributive property. We need to simplify both sides of the equation so that we can isolate the variables on the other side of the equation.

Isolate the variables on one side. This step is necessary because it can cancel out the extra variable and simplify the other variable. To do this, you can either add or subtract on both sides of the equation.

Note: I am subtracting 11D on both sides of the equation since it is my preference. But you can also subtract 13D on both sides of the equation.

To further isolate 2D, we need to subtract 1 on both sides of the equation to cancel out the 1 on the left-hand side of the equation. Then, we have:

But the variable is still not completely isolated since there is a coefficient being multiplied to D. To isolate the coefficient from the variable, we will need to divide the coefficient (2) on both sides of the equation.

Then, simplify both sides of the equation. Eventually, we will have a variable on one side and a numerical value on the other side.

Now we know the age of the granddaughter, we can substitute the age of the granddaughter into one of the equations and simplify it to determine the age of the grandparent. I am going to choose G = 13D since it is easier to simplify. Then, we will substitute the value of D into the equation.

Therefore, the age of the grandparent is 65 years.

Based on the above, there are 26 rabbits after 1 week.

There are 33 rabbits after 8 weeks.

Weeks Since Summer Started                         Rabbits

     1                                             |   16

     2                                            |   17

     3                                             |   18

     4                                              |   19

     5                                              |   20

     6                                                |   21

     7                                                 |   22

     8                                                |   23

To find the number of rabbits after a certain number of weeks, we can substitute the number of weeks into the equation r = 25 + w and solve for r.

For example, after 1 week, we have:

r = 25 + w = 25 + 1 = 26

So there are 26 rabbits after 1 week.

Similarly, after 8 weeks:

r = 25 + w = 25 + 8 = 33

So there are 33 rabbits after 8 weeks.

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Answer:

This means 8 times the quantity of 3x plus 6 equals 168. So, we can say that 8 times 6 equals 48, and 8 times 3x equals 24x. Then, we can do 168 minus 48 to find out how much 24x is. We get 120. After that, we can do 120 divided by 24 and we get 5. If you are solving for x, this is the answer:

x=5

I hope this helps!!

Step-by-step explanation:

Answer:

0.78=78%

Step-by-step explanation:

0.78 is 78%

.

.

.

Answer:

(9)7.1

(10) 17.9

(11) 7.8

(12) 137.1

(13) 7.41

(14) $5.95

(15) 24.83

(16) Seven plus 8 is 15, carey the one. 3 plus 4 is 7 plus 1 is 8. Answer: 85

(17) 4.15-1.29= 2.86 2.86+1.29=4.15

(18) 13.78-5.41= 8.37 8.37+5.41= 13.78

(19) 8.3-4.7= 3.6 3.6+4.7=8.3

Answer:

5016

Step-by-step explanation:

5500 - 324(area of pool)=5176

5176-160(area of walkway)=5016

Answer:

3 kilometers x 1,000 meters/km= 3,000 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Note that 1 km = 1000 m.  Therefore, 3 km = 3,000 m

Answer:

Ruben bought 19 pounds of sugar for $9.So 2.1 pounds of sugar he got per dollar.

Step-by-step explanation:

9 pounds for 9 dollars.

To get the per pound value to divide the given data in pounds by dollar value 19/9.  

19/9=2.1

Answer:

5mg, 5g,5kg.........................

Answer:

\(\frac{16}{27}\)

Step-by-step explanation:

From the table, we notice that the total number of students is:

\(3+10+8+6=27\)

Then, along the second column of the table, we notice that the number of students who do not have a brother is:

\(10+6=16\)

So, the probability that a randomly chosen student does not have a brother is:

\(\frac{\text{number of students who do not have a brother}}{\text{total number of students}}=\frac{16}{27}\)

Answer:

you didnt put enough context in your question but if shana kept using three she would have mixed even and odds in her numbers if you could give more context to the question id be glad to help more

Answer:

should be 650 students

Step-by-step explanation:

Answer:

-17/2 =x

Step-by-step explanation:

9–5(x+4)=3(2–x)

Distribute

9 - 5x - 20 = 6 -3x

Combine like terms

-5x-11 = 6-3x

Add 5x to each side

-5x-11 +5x = 6-3x+5x

-11 = 6+2x

Subtract 6 from each side

-11-6 = 6+2x-6

-17 = 2x

Divide by 2

-17/2 = 2x/2

-17/2 =x

Answer:

4

Step-by-step explanation:

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

distributive property

9+5x+20=6-3x

common terms

29+5x+6-3x

minus 6 to both sides

23+5x=-3x

minus 5x to both sides

23=-8x

divide by 8

x=4

Answer

Step-by-step explanation:

Answer:

2nd Graph or B

Step-by-step explanation:

The appropriate options to fit in the circle regarding the proof will be:

From the information given, it should be noted that the circle centered at point C passes through points D and E and the circles passing through point F, centered at points D and E, have radii of length DF.

Here, it should be noted that the side-side-side congruence is illustrated for 2, 5, and 6. This illustrates that the will have the same lengths for their sides as they're equal.

Therefore, the correct options are illustrated above.

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