A certain company’s charges for tiling a rectangular room include the cost of the material used and a flat rate for installation. The length of a certain room is 2 feet more than its width, and the company’s charges, in dollars, for tiling the room are 12.5x(x+2) + 400.
Match each part of this expression with what it represents in this context.
Available Responses:
the width, in feet, of the room
the length, in feet, of the room
the area, in square feet, of the room
the cost, in dollars, for tile per square foot
the amount of materials needed to cover the room's floor
the flat rate, in dollars, the company charges for installation
12.5 represents ______
x(x+2) represents _______
400 represents _______

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

Answer:

a. True

b. False

c. True

d. True

e. False

f. True

g. False

h. True

i. True

j. True

Step-by-step explanation:

The statement a and i are true. The predicates can be defined without an input variable. These numerical variables can be defined without an input variable. The statement b is false since the p to q is not in conjunction rather its contradiction.

Answer:

true

false

true

true

false

true

false

true

true

true

Answer:

134=2x

X= 67

hope it helps

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]

[tex]P(S) = \dfrac{21}{56}[/tex]

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

Tax rate = tax amount / item cost

Tax rate = 3.84 / 64.00

Tax rate = 0.06 (6%)

Tax amount = item cost x tax rate

Tax amount = 53.00 x 0.06 = $3.18

3×2=692047 82837=284749×2484r133.e9274

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer:

Step-by-step explanation:

We use trig to answer these questions:

sin x = opposite side of a triangle / hypotenuse

cos x = adjacent side / hypotenuse

Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.

The height of the top of the ladder  is then defined by:

sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =

3.71 m

and the distance of the bottom of the ladder from the wall as follows:

cos 68 degrees = horizontal distance / hypotenuse =

1.50 m

The top of the ladder is 3.7088 m away from the ground.

The bottom of the ladder is 1.5 m away from the wall.

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given:

Angle = 68 degree

Hypotenuse = 4 m

Now, using Trigonometry

sin 68 = P/ H

0.9272 = P/ 4

P = 3.7088 m

Thus, the top of the ladder is 3.7088 m away from the ground.

Now, using Pythagoras theorem

H²= P² + B²

4² = (3.7088)² + B²

16 = 13.75 + B²

B² = 2.25

B= 1.5 m

Thus, the bottom of the ladder is 1.5 m away from the wall.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

7

Step-by-step explanation:

the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes

By the given ratio, Number of pennies does Jamey have are 7.

"A ratio compares values. A ratio says how much of one thing there is compared to another thing."

According to the question

Jamey has 4 quarters, some dimes, and some pennies.

Ratio of quarters to dimes is 8:6

So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]

⇒ [tex]8d = 6(4)[/tex]

⇒ [tex]d=\frac{6}{2}[/tex]

⇒ [tex]d=3[/tex]

Ratio of pennies to dimes is 7 : 3

So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]

By substituting d = 3

⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]

⇒ [tex]p = \frac{7}{3}(3)[/tex]

⇒ [tex]p =7[/tex]

Hence, number of pennies does Jamey have are 7.

Learn more about ratio here

https://brainly.com/question/10167786

#SPJ2

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Answer:

40

Step-by-step explanation:

part        %

------- = ----------

whole    100

8       20

---  =  ---

?        100

8*100/20

40

Answer: 40

Step-by-step explain:

40

Answer:

Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake

Step-by-step explanation:

Step-by-step explanation:

-4x+5>-5

    -5   -5

-4x>-10

/-4   /-4

x<2/5

You switch the sign whenever you divide a negative. In this case, we did, so instead of it being x>2/5, the answer is x<2/5.

hope it helps! :3

Answer:

x<5/2

Step-by-step explanation:

Answer:

w = 6

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

[tex]\frac{w-[-10]}{10-8}=8\\\\\frac{w+10}{2}=8\\\\w+10= 8*2\\[/tex]

w +10  = 16

        w = 16 - 10

         w = 6

Answer:

both are 79

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Rectangle = 10x15=150

Triangle = 1/2x5x4=10

150+10=160

Step-by-step explanation:

Area of rectangle = width × length

= 10 × 15 = 150 cm²

The height of triangle = 14 - 10 = 4 cm

Area of triangle = 1/2 × base × perpendicular height

= 1/2 × 5 × 4

= 10 cm²

Area of this figure = area of rectangle + area of triangle

= 150 + 10 = 160 cm²

Rectangle

Just finished the post test right now.

Answer:

Step-by-step explanation:

2/Sin(105) = c / sin(15)

2 * sin(15) = c * sin(105)        Divide by Sin(105)

2 * sin(15)/Sin(105) = c

2 * 0.2679  = c

c = 0.539

c = 0.5

Answer:

8 pies.

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

The area of a rectangle can be found by multiplying its length and its height. You may consider the breadth as just another word for length.

A = L * W

Since we know what are area is, we may substitute it into the equation.

144 = L * W

We also know what our width (our breadth) is, so we will also substitute it in

144  = L * 9

To solve for our length, we divide both sides by 9 to isolate L

[tex]\frac{144}{9} = \frac{L * 9}{9}[/tex]

We see that the two 9's on the right hand side cancel out to give us L

[tex]\frac{144}{9} = 16[/tex]

So our L is equal to 16.

We can check our work by multiplying the length and breadth together again to see if they give 144 as a product, which they do.

9514 1404 393

Answer:

  14(x +5)

Step-by-step explanation:

The denominator of the first expression is ...

  2x+10 = 2(x +5)

The denominator of the second expression is ...

  7x +35 = 7(x +5)

The least common denominator (LCD) is the product of the unique factors in these denominators:

  2×7×(x +5)

  = 14(x +5) . . . . least common denominator

  = 14x +70

9514 1404 393

Answer:

  1. a, b, c - represent growth

  2. b, c, d - represent decay

Step-by-step explanation:

If increasing x results in a larger value, the function represents growth. If it results in a smaller value, the function represents decay.

__

To answer these questions, you can look at the base and the exponent. When we say "exponent" here, we mean the coefficient of the exponent variable. There are four possibilities:

  growth:

  decay:

__

Growth questions:

  1.77^x -- growth

  1.5^(x/2) -- growth

  0.5^(-x) -- growth (= 2^x)

  e^(-t) -- decay (e ≈ 2.718)

Decay questions:

  1.7^x -- growth

  1.7^(-2x) -- decay

  (1/3)^x -- decay (= 3^(-x))

  2^(-x) -- decay

Answer:

B. 264π units³

Step-by-step explanation:

Volume of the cone = ⅓πr²h

Where,

r = 6

h = 22

Plug in the values

Volume = ⅓×π×6²×22

Volume = ⅓×π×36×22

Volume = 264π units³

Step-by-step explanation:

me kuch nhi karunga

Answer:

b) x= -13

Step-by-step explanation:

Answer:

it's answer is= - 13.175

but it is not in option

so B) - 13

is right

Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

Answer:

[tex]x = 375.3[/tex]

Step-by-step explanation:

Given

See attachment for illustration

Required

Determine the horizontal distance

The horizontal distance is the distance between the technician and the base of the pole.

Represent this with x.

The relationship between x, 175ft and 25 degrees is represented as:

[tex]tan(25^{\circ}) = \frac{175}{x}[/tex] --- i.e. tan formula

Multiply both sides by x

[tex]x * tan(25^{\circ}) = \frac{175}{x} * x[/tex]

[tex]x * tan(25^{\circ}) = 175[/tex]

Make x the subject

[tex]x = \frac{175}{tan(25^{\circ})}[/tex]

[tex]x = \frac{175}{0.4663}[/tex]

[tex]x = 375.294874544[/tex]

[tex]x = 375.3[/tex] --- approximated

The distance is approximately 375.3ft

Answer:

11+3z

Step-by-step explanation:

You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z

Answer:

Explanation:

9 − 3z + 4 + 6z − 2

-3z + 6z + 9 + 4 - 2

3z + 9 + 4 - 2

Answer:

is y=5/7x+2,y=5/7x-30 parell or perpendicular

It's parallel