Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per square foot. How much would it cost in total to replace the felt on the pool table?

Answer:

Step-by-step explanation:

Let the number is x in each case.

Use the property below:

We have:

Answer:

[tex]\log_31=0[/tex]

[tex]\log_33=1[/tex]

[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]

[tex]\log_{3}81=4[/tex]

Step-by-step explanation:

[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]

Therefore:

[tex]\log_3x=0 \implies x=3^0=1[/tex]

[tex]\log_3x=1 \implies x=3^1=3[/tex]

[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]

[tex]\log_3x=4 \implies x=3^4=81[/tex]

Additionally, the logarithm of 1 with any base is always zero:

[tex]\log_a1=0[/tex]

The logarithm of the same number as the base is always 1:

[tex]\log_aa=1[/tex]

Answer:

x equals 375

Step-by-step explanation:

75+0.70x=0.90x

Answer:

<ABC = 70 degrees

<AMC = 60 degrees

< AMB = 60 degrees

Step-by-step explanation:

<ABC = 180-110 = 70 degrees

<AMC = 2x + 60 = 180

2x = 180 - 60

x = 120/2

x = 60

<AMB = 180/3 = 60

The midpoint of a line divides the line into equal segments.

See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

The given parameters are:

[tex]\mathbf{A = (-5,-4)}[/tex]

[tex]\mathbf{B = (3,-2)}[/tex]

[tex]\mathbf{C = (-1,6)}[/tex]

The coordinates of M (midpoint of AB) are calculated as follows:

[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]

[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]

[tex]\mathbf{M = (-1, -3)}[/tex]

The coordinates of N (midpoint of BC) are calculated as follows:

[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]

[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]

[tex]\mathbf{N = (1, 2)}[/tex]

Distance MN is:

[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]

[tex]\mathbf{MN = \sqrt{29}}[/tex]

Distance AC is calculated as follows:

[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]

[tex]\mathbf{AC= \sqrt{116}}[/tex]

Split

[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]

Take positive square root of 4

[tex]\mathbf{AC= 2\sqrt{29}}[/tex]

To prove that:

[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

We have:

[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]

[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]

The above equation is true.

Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

Read more about midpoints and distance at:

https://brainly.com/question/11231122

Answer/Step-by-step explanation:

Call Monday's price, P

Tuesday's price must just be .80P   [ 20% reduction]

Call Wednesday's price reduction ( 1 - R)

So...we have that

Tuesday's price  *  Wednesday's reduction  = (1/2)P

(.80)P  *( 1 - R)  = (1/2)P    divide through by  P  and note that 1/2  = .50

.80 (1 - R)  = .50        divide both sides by .80

1 - R  =  .50/.80

1 - R  = 5/8

1 - 5/8 = R

3/8   = R = .375  = 37.5%  = the reduction from Tues. to Wed.

Proof of this...let Monday's price  = 100

Tuesdays price  = .80 * 100   = 80

Wed price  = 80 (1 - R)  = 80 (1 - .375)  = 50 =  half of  Mon. price

________

[tex] \: [/tex]

5x - 10 = 20

5x = 20 + 10

5x = 30

x = 30 ÷ 5

x = 6✔

Answer:

The correct ratio is 7:8, so no, Emma is not correct.

Hello cayleahm253!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

There are 35 boys in 6th grade. The number of girls in 6th grade is 40. Emma says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 3:4. Is Emma correct? If not, what is the correct answer?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Okay, so we can see from the question that there are 35 boys & 40 girls in the 6th grade. So the ratio of boys is to girls will be 35:40.

__________________

Solving...

[tex]35 : 40 \\ = \frac{35}{40} \\ \\ \sf \: Cancel \: out \: 35 \: and \: 40 \: to \: get \: 7 \: and \: 8.\\ \\ = \frac{7}{8} \\ = \huge \boxed{\boxed{\bf \: 7 : 8}}[/tex]

__________________

__________________

Hope it'll help you ッ

ℓucαzz

Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.

Veremos que cada integrante debe registrar 580m^2 por día.

La informacion que se nos da es:

Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:

a = 174,000 m^2/10 = 17,400 m^2

Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:

d = a/30 = 17,400 m^2/30  = 580m^2

Eso es lo que cada integrante debe registrar por día,

Sí quieres aprender más, puedes leer:

https://brainly.com/question/16512349

9514 1404 393

Answer:

  y = 2x +1

Step-by-step explanation:

The line rises 2 units for each 1 unit to the right, so its slope is ...

  m = rise/run = 2/1 = 2

The line crosses the y-axis at y = 1, so the y-intercept is ...

  b = 1

Then the slope-intercept form equation is ...

  y = mx + b . . . . . . . for slope m and y-intercept b

  y = 2x + 1 . . . . . . . . fill in the known values

Replace all occurrences of x with y + 3 in each equation.

Replace all occurences of x in 6x - 5y = 15 with y + 3.

6 (y+3) -5y = 15

x = y + 3

Simplify 6 (y + 3) - 5y.

Simplify each term.

Apply the distributive property.

6y + 6 · 3 - 5y = 15

x = y + 3

Multiply 6 by 3.

6y + 18 - 5y = 15

x = y + 3

Subtract 5y from 6y.

y + 18 = 15

x = y + 3

Move all terms not containing y to the right side of the equation.

Subtract 18 from both sides of the equation.

y = 15 - 18

x = y + 3

Subtract 18 from 15.

y = -3

x = y + 3

Replace all occurences with y with -3 in each equation.

Replace all occurences of y in x = y + 3 with -3.

x = (-3) + 3

y = -3

Add -3 and 3.

x = 0

y = -3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(0,-3)

The result can be shown in multiple forms.

Point Form:

(0,-3)

Equation Form:

x = 0, y = -3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are :

Refer to the attachment for solution ~

Answer:

B = x = 44 degrees

Step-by-step explanation:

Interior angles of a triangle = 180 degrees.

There are 2 congruent sides so the angle to the right of 67 degrees is also 67 degrees

180 - 2(67) = 46 degrees (the third angle of the triangle)

x + 46 degrees = 90 degrees ( complementary angles)

x = 44 degrees

Answer:

5, -5

hope this helps

Answer:

Train to BaDussy

Step-by-step explanation:

Answer: [tex]5^{3}[/tex]

Step-by-step explanation:

Answer:X=5

Step-by-step explanation:took the test

Answer:

8987678

Step-by-step explanation:

Answer:

620 to 651

Step-by-step explanation:

21x31=651

210x31=620

Step-by-step explanation:

if a dog eats 20\21kilograms of food per day. How many kilograms will the dog it in the month of august

august has 31 day's so

20/21×31=

=29.524

Answer:

um just one question are you sure it's supposed to be d-6 instead of b-6

Step-by-step explanation:

if it's b-6 instead of d then the answer is 1

Answer:

9

Step-by-step explanation:

the given expression can be re-written:

[tex]\frac{\sqrt{2} -1}{(\sqrt{2}-1)(\sqrt{2}+1)} +\frac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})(\sqrt{3} -\sqrt{2})} + ...+\frac{\sqrt{100} -\sqrt{99}}{(\sqrt{100} -\sqrt{99})(\sqrt{100} +\sqrt{99})};[/tex]

then

[tex]\sqrt{2} -1+\sqrt{3} -\sqrt{2} +\sqrt{4} -\sqrt{3}+\sqrt{5} -\sqrt{4}+...+\sqrt{100}-\sqrt{99}= -1+\sqrt{100}=9.[/tex]

Answer:

75.35

Step-by-step explanation:

55 (1.37) = 75.35

Step-by-step explanation:

that is really, really simple.

h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.

h(x) = -3x - 10

so,

h(-3) = -3×-3 - 10 = 9 - 10 = -1

Answer:

-1

Step-by-step explanation:

h(x) = -3x - 10    

h(-3)            means to replace the x in the problem with the value of -3 and  

                   solve.

h(-3) = -3(-3) - 10

h(-3) =  9 - 10

h(3) = -1

Answer:

126°

Step-by-step explanation:

1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.

2. Now, we know that adjacent of 54 is 126. Also, we know that [tex]l[/tex] ║ [tex]m[/tex] ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.

Answer:

So I added, 1.9, 0.1, 7.7, 6.8, 6, 7, 7.8, 2.8, 6.9, 3.5, which equals 50.5.

Then, I divided 50.5 by 9 since that is how many number sections there are.

Therefore, I get 5.61.

Answer:

Logxy =1/2

Step-by-step explanation:

Answer:

b=y-ms

Step-by-step explanation:

Subtract y from both sides,

-b=ms-y

Divide through by -1,

b=-ms+y

Rearrange the equation.

b=y-ms

Answer:

The slope (m) = 2/3

Step-by-step explanation:

Taking any two points on the line:

(0,-2) & (3,0)

Using the slope formula to calculate the slope (m):

m = [tex]\frac{y2-y1}{x2-x1}[/tex]

= (0-(-2))/(3-0)

= (0+2)/3

= 2/3

Hence, the slope (m) is 2/3.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

B

Step-by-step explanation:

In similar triangles corresponding sides are in same ratio

[tex]\dfrac{CV}{CE}=\dfrac{CU}{CD}\\\\\\\dfrac{CV}{54}=\dfrac{14}{98}\\\\CV=\dfrac{14}{98}*84\\\\CV = \dfrac{1}{7}*84\\\\CV = 12[/tex]

Answer:

B) 12

Step-by-step explanation:

CD - 98

CE - 84

~

CU - 14

CV = 12

-

You set up a proportion: 98/84 = 14/x

x=12

Answer:

1st quadrant