Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a

kitchen cabinet set in 1/5 of an hour.

How many kitchen cabinet sets can be installed by her workers in 1 hour?

Express your answer as an improper fraction.

Answer:

Katie height  =1.73 m                        

George height =7 cm

formula

1 meter =100 cm                     7/100 =0.007m

     so George height =0.007 m

height of George = Katie height - George height

                            = 1.73 - 0.007 m

Step-by-step explanation:

The  equations that are correct are:

0.02(750) + 0.03(x - 750) = 37.5

0.03(750 - x) = 37.5 - 15

Given:

Melissa earns a 2% commission on the first $750 of sales.

She earns a 3% commission on greater than $750 each week.

1. Sales up to $750:

Melissa earns a 2% commission on the first $750 of sales.

=0.02(750)

= 15

2. Sales exceeding $750:

Melissa earns a 3% commission on the amount of sales that exceed $750.

0.03(x - 750) = 37.5 - 15

Combining both equations, we have:

0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15

15 + 0.03x - 22.5 = 37.5

0.03x - 7.5 = 37.5

Adding 7.5 to both sides

0.03x = 45

Dividing both sides by 0.03

x = 1500

Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:

Equation 1: 0.02(750) + 0.03(x - 750) = 37.5

Equation 2: 0.03(750 - x) = 37.5 - 15

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Answer:

1. The similar triangles are ΔXYZ and ΔPQR

The triangles are similar by the AA rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. x = 17.5

4. x = 20

Step-by-step explanation:

1. The angles of triangle ΔXYZ are;

∠X  = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°

The angles of triangle ΔPQR are;

∠P  = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°

The angles of triangle ΔABC are;

∠A  = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°

Therefore, the two similar triangles are ΔXYZ and ΔPQR

The triangles are similar based on Angle-Angle (AA) rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. We have by corresponding triangles formed by the tree and Enzo as follows;

5 ft./(6 ft.)= x/(21 ft.)

∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.

x = 17.5 feet

4. By corresponding triangles, we have;

(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)

∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.

x ft. = 20 ft.

∴ x = 20

Answer:

33 minutes

Step-by-step explanation:

33min

Answer: The answer to this math question about how long did the call has lasted from 7:53 PM to 8:25 PM is the call has been lasted long is 32 minutes ago.

Step-by-step explanation: Here is a brief step-by-step explanation in order to find how long did the call has lasted from 7:53 PM to 8:25 PM:

So, 25 minutes from the 8 hours to 8:25 PM and then, 53 minutes to 60 minutes is 7:25 PM + 7:32 PM.

I hope that my briefly short given answer with my briefly short given a step-by-step explanation in order to find how long did the call has lasted from 7:53 PM to 8:25 PM, please mark me as Brainliest, take care, always be safe, and have a great rest of the holiday winter break, Merry Christmas and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Given:

The cost function is

[tex]C(x)=7x[/tex]

The revenue function is

[tex]R(x)=9x-0.001x^2[/tex]

To find:

The marginal cost, marginal revenue, and marginal profit functions.

Solution:

We know that,

[tex]Profit=Revenue-Cost[/tex]

[tex]P(x)=R(x)-C(x)[/tex]

[tex]P(x)=9x-0.001x^2-7x[/tex]

[tex]P(x)=2x-0.001x^2[/tex]

The marginal cost, marginal revenue, and marginal profit functions are the derivatives of cost, revenue and profit functions respectively.

Marginal cost function is

[tex]C'(x)=7\dfrac{d}{dx}x[/tex]

[tex]C'(x)=7(1)[/tex]

[tex]C'(x)=7[/tex]

Marginal revenue function is

[tex]R'(x)=9(1)-0.001(2x)[/tex]

[tex]R'(x)=9-0.002x[/tex]

Marginal profit function is

[tex]P'(x)=2(1)-0.001(2x)[/tex]

[tex]P'(x)=2-0.002x[/tex]

Therefore, the marginal cost, marginal revenue, and marginal profit functions are [tex]C'(x)=7[/tex], [tex]R'(x)=9-0.002x[/tex] and [tex]P'(x)=2-0.002x[/tex] respectively.

Answer:

Ok

3. 12, 3, 6, and 24

4. 60 and 30.

5. 0, 1, and 10.

Step-by-step explanation:

HOPE THIS HELPS!!

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

Answer:

1 shirt=$7.50 and 1 hat=$7.50

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

como vamos a resolverlo si no nos muestra la recta porque en la recta estan los valores

Answer:

100

Step-by-step explanation:

hopes this helps

Answer:

100

Step-by-step explanation:

Answer:

2(9r) and 18r are equivalent

Answer:

67.5 mm²

Step-by-step explanation:

Alright, we're going to make 3 different smaller shapes

Shape (triangle)

Shape (skinny rectangle)

Shape (bigger rectangle)

Add them all together

42+18+7.5= 67.5

Answer:

56 cards

Step-by-step explanation:

If 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

7x8=56

56 is the answer because if 5 baseball cards multiplied by 8 is 40, then you multiply the 7 football cards by 8 as well.

one is (5) because Domain is left to right

and number two is (4) because range is up and down

Answer:

its d

Step-by-step explanation:

Answer:

$17.85

1 ten

1 five

2 ones

3 quarters

1 nickel

4 pennies

Hope I helped! <3 :)

$24.96

1 twenty

4 ones

3 quarters

2 dimes

1 penny

Answer:

C is your Answer

Step-by-step explanation:

Answer:

a or b i will help no further

Given:

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.

To find:

The combined variation equation and find y when x = 6 and z= 3.

Solution:

The variable y varies directly as x and inversely as z.

[tex]y\propto \dfrac{x}{z}[/tex]

[tex]y=k\dfrac{x}{z}[/tex]           ...(i)

Where, k is the constant of proportionality.

Putting x=4, y=2 and z=14, we get

[tex]2=k\dfrac{4}{14}[/tex]

[tex]2=k\dfrac{2}{7}[/tex]

[tex]2\times \dfrac{7}{2}=k\dfrac{2}{7}\times \dfrac{7}{2}[/tex]

[tex]7=k[/tex]

Putting k=7 in (i), we get

[tex]y=7\dfrac{x}{z}[/tex]

Putting x=6 and z=3, we get

[tex]y=7\times \dfrac{6}{3}[/tex]

[tex]y=7\times 2[/tex]

[tex]y=14[/tex]

Therefore, the required equation is [tex]y=7\dfrac{x}{z}[/tex] and the value of y is 14 when x = 6 and z= 3.

Answer:

75000000

Step-by-step explanation:

se multiplica

45×70= 3150 metros

luego multiplica

60×50= 3000 metros

luego se divide

78750000/ 3150 = 25000

y por último multiplica

25000×3000

conclusiones

el metro cuadrado de tierra vale 25000 por lo que los 3000 metros cuadrados que son del terreno de 60x50 estan valorados en 750000000

Answer:

Opposite

Step-by-step explanation:

Opposite sides are parallel is the statement which is a property of parallelogram.

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

There are six important properties of parallelograms to know:

Opposite sides are congruent .

Opposite angels are congruent .

Consecutive angles are supplementary.

If one angle is right, then all angles are right.

The diagonals of a parallelogram bisect each other.

In the given options Opposite sides are parallel is the statement which is a property of parallelograms.

Hence, Opposite sides are parallel is the statement which is a property of parallelogram.

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Answer:

la verdad es 17,en total del grupo

Answer: 51 sq in

The explanation are in the photos

Answer: 51 in

Step-by-step explanation:

To do this you need to split the composite shape into two separate shapes; a triangle and a rectangle.

To work out the area of the rectangle you have to do 6x7=42

Then to work out the area of the triangle you have to do 13-7 to get the height of only the triangle h (height)=6

Then to find out the base of the triangle you have to do 6-3 as 6 is the overall length b (base)=3

The formula for the area of the triangle is b×h/2 (base times height divided by 2) which is also displayed as 3x6/2=9 which is the area of the triangle

So to work out the area of the composite shape you have to add the area of the rectangle and the area of the triangle (42+9).

Answer:

2 cookies

Step-by-step explanation:

let c represent cookies, m represent muffins. set up a system of equations:

2c+3m=16

m=2c

(the top equation shows that cookies are $2 each, and muffins are $3, and that the total cost is $16. the bottom equation shows that Lori bought twice as many muffins as cookies).

then solve the system of equations by substitution, substituting 2c for m in the top equation:

2c+3(2c)=16

2c+6c=16

8c=16

c=2

this means that lori bought 2 cookies.

Answer:

2 cookies

Step-by-step explanation:

let c = no. of cookies

2c = no. of muffins

The cost for c cookies is 2c since each cookie was $2

and the cost of 2c muffins is 3(2c) = 6c since each muffing was $3

The total cost = 2c + 6c = 16

                                 8c  = 16

                                   c = 2

So, she bought 2 cookies and 4 muffins

Answer: B

Step-by-step explanation:

Answer:

545.5%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply both numerator and denominator by 100. We do this to find an equivalent fraction having 100 as the denominator.

5.545 ×

100

100

= (5.545 × 100) ×

1

100

=

554.5

100

Write in percentage notation: 554.5%