Andrew can paint a painting 2 times faster than Ethan can. When they work together on a painting it takes them 9 hours to paint. How long would it take Ethan to paint the painting by himself?

Answer:

Step-by-step explanation:

The first term shown is 11. The terms have a common difference of 15 -11 = 4.

These values let you write the recursive formula:

  [tex]a_1=11\\a_n=4+a_{n-1}[/tex]

__

The common difference is added to the previous term to find the current term.

Answer:

Use the given functions to set up and simplify (f − g) (x).

−7x+4= −7x + 4

(f − g) (x)=f − 2 x+ 5

Step-by-step explanation:

Answer: it the first one

Step-by-step explanation:

Answer:

The mean is 4

Step-by-step explanation:

15+2+4 = 21 which you can divide by 3 = 7

Answer:

4

Step-by-step explanation:

8+y+g+0= 4

Answer:

depends

Step-by-step explanation:

f(x) is the function. the (x) corresponds with the x axis or coordinate. so find 3 on the x axis and find its corresponding y.

Answer:

There are two ways to do this depending on the information you know.

Step-by-step explanation:

In order for a quadrilateral to be a rhombus, the sides have to be of equal length, so proving that all four sides are the same length would be one way. A second way is to prove that diagonals connecting opposite corners are perpendicular bisectors (connect in such a way that they cut each other into equal pieces at right angles).

Answer:

2/7 + (-3/4) + (-2/7) + 4/3

If we look at 2/7 and (-2/7), we can see that both of them combined will get you a result of 0, so let's do that first.

2/7 + (-2/7) = 0

Now we're left with;

(-3/4) + 4/3

Make sure to convert both fractions into having a common denominator,

[They both have a common denominator of 12], so:

(-3/4) = (-9/12)

4/3 = 16/12

Add them:

(-9/12) + 16/12

16/12 - 9/12

= 7/12, which cannot further be simplified.

Answer:

32

Step-by-step explanation:

first subtract 8 from his age and then multiply it by four.

Answer:

The answer would be c- 6 1/6

Step-by-step explanation:

I recommend desmos scientific calculator if you put in a=4, b=-5, c=-7 then plug in the equation it should give you your answer!

Answer:

[tex]\displaystyle 35[/tex]

Explanation:

Complementary Angles sum up to ninety degrees, so do the following:

[tex]\displaystyle 90° = 55° + m\angle{DEF} \\ \\ 35° = m\angle{DEF}[/tex]

I am joyous to assist you at any time.

Answer:

constant (unchanged) ratio of two variable quantities.

Step-by-step explanation:

Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .

Answer: 40 degrees

Step-by-step explanation:

[tex]\begin{aligned}& \triangle A B C \cong \triangle D E F \\&\therefore \angle A=\angle D \quad(\text{By corresponding parts of a congruent triangle}) \\&x+20=2 x \\&2 x-x=20\\& x=20\\&\therefore m\angle A=x+20=20+20=40^{\circ} \\\end{aligned}[/tex]

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

8x−8−7x=7x−7x

x−8=0

Step 2: Add 8 to both sides.

x−8+8=0+8

x=8

HGD

-ghost

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[tex]\color{red}{\tt{Hope \ It \ Helps}} [/tex]

Answer:

21482.20

Step-by-step explanation:

A = P(1+r/m)^mt

A = Total Amount, P = Principal, r = rate. m = number of months, t = time

24000 = P(1 + 0.037/12)^12*3

24000 = P(1.003083333)^36 --- I added 1  to 0.037 divied by 12, then multiplied 12*3 on the outside of the parentheses

24000 = 1.117204101(P)

24000/1,117204101 = 1.117204101P/1.1177204101

P = 21482.20

Good luck!  :)

The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.

The volume of a cuboid is the product of its length, width, and height. It is formulated as:

[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]

As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,

The volume of the room = 10ft × 15ft × 12ft = 1800 ft³

A.)

The heat produced by 3 people in a period of 9 hours will be

= 600 BTU × 3 people × 9 hour

= 16,200 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]

Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.

B.)

The heat produced by 4 people in a period of 10 hours will be

= 600 BTU × 4 people × 10 hours

= 24,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]

Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.

C.)

The heat produced by 5 people in a period of 2 hours will be

= 600 BTU × 5 people × 2 hours

= 6,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]

Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.

D.)

The heat produced by 6 people in a period of 4 hours will be

= 600 BTU × 6 people × 4 hours

= 14,400 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]

Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.

E.)

The heat produced by 7 people in a period of 4 hours will be

= 600 BTU × 7 people × 4 hours

= 16,800 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]

Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.

Learn more about the Volume of a Cuboid:

https://brainly.com/question/23118276

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Answer:

42

Step-by-step explanation:

Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.

Answer:

The answer is

C.) 3a⁴b/7

Step-by-step explanation:

I know it's the right answer because It's the answer it showed on Edge.

Answer:

26.0

Step-by-step explanation:

We can apply the Pythagorean theorem to this problem. First, we need to square both legs. 7^2 = 49, and 25^2 = 625. If we add them, they equal 674. We then just take the square root of 674 which is 26.96. When rounded, that is 26.0

Answer:

67.5 square units

Step-by-step explanation:

Formulae

[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]

(where b is the base and h is the height)

[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]

(where a and b are the bases, and h is the height)

Solution

We can divide this shape into a triangle and a trapezoid.

[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]

[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]

Therefore:

Area of shape = 35 + 32.5 = 67.5 square units

Area of trapezoid

Area of traingle'-

Total area:-

Answer:

Problem 17

Independent -- T

dependent -- D

_________________________

Problem 16

Independent -- X

dependent -- Y

_________________________

Problem 18

Independent -- R

dependent -- Q

Step-by-step explanation:

Answer:

y=(x+8)^2+7

Step-by-step explanation:

Answer:

GG EZ

Step-by-step explanation:

GG 34/57(12/16)=54/65/

67-67-&45&12+3-2(-6)

= simpli

=12-76-Fgh

Answer:

[tex]{x,y}={-2,3}[/tex]

Step-by-step explanation:

[1]    2x + y = -1

  [2]    x - 2y = -8  <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1        -2y + x = -8  < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = 2y - 8

// Plug this in for variable  x  in equation [1]

  [1]    2•(2y-8) + y = -1

  [1]    5y = 15

// Solve equation [1] for the variable  y

  [1]    5y = 15

  [1]    y = 3

// By now we know this much :

   x = 2y-8

   y = 3

// Use the  y  value to solve for  x

   x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

Answer:

Step-by-step explanation:

[1]    2x + y = -1

 [2]    x - 2y = -8  <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1        -2y + x = -8  < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable  x

[2]    x = 2y - 8

// Plug this in for variable  x  in equation [1]

 [1]    2•(2y-8) + y = -1

 [1]    5y = 15

// Solve equation [1] for the variable  y

 [1]    5y = 15

 [1]    y = 3

// By now we know this much :

  x = 2y-8

  y = 3

// Use the  y  value to solve for  x

  x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

Answer:

2

Step-by-step explanation:

13+7x=27

-13 -13

7x=14

÷7

x=2

Answer:

x = 2

Step-by-step explanation:

Given

#1) Subtract 13 from each side.

#2) Divide 7 from each side.

Answer:

Step-by-step explanation:

[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]

                               [tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]

Step-by-step explanation:

[tex]56 + 51 + y = 180 \\ y = 180 - 107 \\ y = 73[/tex]

[tex]y + x + 72 = 180 \\ 73 + 72 + x = 180 \\ x = 180 - 145 \\ x = 35[/tex]

Hope it helps

A straight angle is an angle equal to 180 degrees

Solve for y

y + 51° + 56° = 180°

y = 180° - 56° - 51°

y = 73°

Total interior angle of a triangle sum ups to 180°

Solve for x

y + x + 72° = 180°

73° + x+ 72° = 180°

x = 180° - 72° - 73°

x = 35°