The tables show the functions to calculate the costs for a
master plumber, M(h), and an apprentice, A(h),
depending on the number of hours, h, that it takes to
complete a job.
The total cost for work done by a crew of one master
plumber and one apprentice is the sum of the costs for
each member of the crew.
Which table shows the total cost for various times
orlad
2.75
325
A5

Answer:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Step-by-step explanation:

Given

[tex]W= Width\\ L = Length[/tex]

[tex]Area = 150[/tex]

[tex]W=2*L- 5[/tex]

Required

Determine the dimension

Area is calculated as:

[tex]Area = L * W[/tex]

So, we have:

[tex]L * W = 150[/tex]

Substitute: [tex]W=2*L- 5[/tex]

[tex]L * (2*L-5) = 150[/tex]

[tex]L * (2L-5) = 150[/tex]

Open bracket

[tex]2L^2 - 5L = 150[/tex]

Rewrite as:

[tex]2L^2 - 5L - 150=0[/tex]

Expand

[tex]2L^2 -20L + 15L - 150 = 0[/tex]

Factorize:

[tex]2L(L -10) + 15(L - 10) = 0[/tex]

[tex](2L + 15) (L - 10) = 0[/tex]

Split

[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]

Solve for L

[tex]2L =-15[/tex] or [tex]L = 10[/tex]

L cannot be negative

So:

[tex]L = 10[/tex]

Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]

[tex]W = 2 * 10 - 5[/tex]

[tex]W = 20 - 5[/tex]

[tex]W = 15[/tex]

Hence:

[tex]Length = 10ft[/tex]

[tex]Width = 15ft[/tex]

Answer:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2}{3} - \frac{x}{3} - 44[/tex]

Required

Solve

Take LCM

[tex]\frac{x^2 - x - 132}{3}[/tex]

Expand

[tex]\frac{x^2 +11 x -12x- 132}{3}[/tex]

Factorize:

[tex]\frac{x(x+11) -12(x+ 11)}{3}[/tex]

[tex]\frac{(x -12)(x+ 11)}{3}[/tex]

Hence:

[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]

The coefficients in the balanced reaction

4 Fe + 3 O₂   →   2 Fe₂O₃

represent the ratio of moles of each reactant to each product. That is, for every 4 moles of Fe and 3 moles of O₂, 2 moles of Fe₂O₃ are produced.

First convert the given amount of Fe into moles. Fe has a molar mass of 55.845 g/mol, so you have

42.7 g × (1/55.845 mol/g) = 0.765 mol

of Fe.

Find how many moles of Fe₂O₃ are produced given this much Fe and an abundant supply of O₂. Multiply the coefficients of the balanced reaction by 0.765/4 :

0.765 Fe + 0.573 O₂   →   0.382 Fe₂O₃

Now convert the amount of Fe₂O₃ to grams. O has a molar mass of 15.999 g/mol, so Fe₂O₃ has a total molar mass of about

2 (55.845 g/mol) + 3 (15.999 g/mol) = 159.687 g/mol

Then the reaction would produce about

0.382 mol × (158.687 g/mol) ≈ 61.0 g

of Fe₂O₃.

Answer:

The answer is C

Step-by-step explanation:

it

is

the

answer

C

Answer:

6t=9? let me know if that's correct x

Step-by-step explanation:

Answer:

y^3 + 7 - 15

Step-by-step explanation:

Answer:

The differnce is 3 and 1/2 as 9/2 - 1 = 3 and 1/2 according to the points plotted above the diagram meaning 5 and 0 are excluded values which do not have any place within the diagram.

Step-by-step explanation:

Answer:

Solution Given :

apothegm [a]=9in

perimeter [p]=13.1×5=65.5in

given

A=1/2 aP=1/2×9×65.5=294.75in²

Answer:

37

-----

56

Step-by-step explanation:

Answer:

If the length is 4 units greater than W then it is equal to w*4..

Step-by-step explanation:

A=L*W

A=4*w

A=w*4 or A=4w

Answer:

3rd answer

Step-by-step explanation:

Answer:

whats chars?

Step-by-step explanation:

Answer:

21 + x = 35

x = 14

Hope this helps :)

Answer:

B

Step-by-step explanation:

(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

Answer:Area

≈

55637.81

≈

55637.8

Area≈55637.81≈55637.8

Step-by-step explanation:

angle 2 and angle 6 need to be congruent

9514 1404 393

Answer:

  x² +15x +56

Step-by-step explanation:

We presume these are dimensions of a rectangle, so the area is their product.

  A = (x +8)(x +7) = x(x +7) +8(x +7) = x² +7x +8x +56

  A = x² +15x +56

Answer:

x = 150°

Step-by-step explanation:

From the picture attached,

Segment AC and segment BC are the tangents to circle O.

By the property of angle between tangent and the radius of a circle,

"Angle between the radius and tangent drawn to the circle is 90°"

m(∠OAC) = m(∠OBC) = 90°

Sum of opposite angles of the quadrilateral OBCA is 180°,

m(∠OAC) + m(∠OBC) = 180°

Therefore, quadrilateral OBCA is a cyclic quadrilateral.

By the same property of cyclic quadrilateral,

m(∠AOB) + m(∠ACB) = 180°

x° + 30° = 180°

x = 180 - 30

x = 150°

Answer:

B. x=5, y=4

Step-by-step explanation:

the tiny triangle is 3x smaller so just divide those numbers by three

Answer:

Please provide the statements.

Step-by-step explanation:

Answer:

the equation has one anser

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

15x+6=10x+21

5x=15

x=3

Answer: x=3

Step-by-step explanation:

[tex]15x+6=10x+21\\5x+6=21\\5x=15\\x=3[/tex]

Answer:

3 feet

Step-by-step explanation:

The area of banner is 3 because A = l * w. So 2 * 1 1/2. Is 3 feet. Make sure to include the ft. Unit.

Add the half circle to the rectangle and subtract the triangle.

Area of half circle = 1/2 x pi x 8.5^2 = 113.4325

Area of rectangle = 11 x 17 = 187

Area of triangle: 1/2 x 3 x 17 = 25.5

Total area: 113.4325 + 187 - 25.5 = 274.9325 square m

Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69

Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m

Answer:

20.9 i think

Step-by-step explanation:

Answer:

10.45

Step-by-step explanation:

h=3.8

b-5.5

5.5 multiply 3.8 =20.9

this is a triangle so divide 20.9 by 2

=10.45

Answer:

The remainder is -64

Step-by-step explanation:

Given

[tex]7x^2 - x^3[/tex]

Divided by [tex]x - 8[/tex]

Required

Determine the remainder

Equate [tex]x - 8[/tex] to 0

[tex]x - 8 = 0[/tex]

Solve for x

[tex]x = 8[/tex]

Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]

So, we have:

[tex]7 * 8^2 - 8^3[/tex]

Evaluate all exponents

[tex]7 * 64 - 512[/tex]

[tex]448 - 512[/tex]

[tex]-64[/tex]

Answer:

The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".

Step-by-step explanation:

Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex].   This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches  between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex]  In the i-th to J-th hour, the Wrestler played only 24 match-ups.

Answer:

10 inches

Step-by-step explanation:

9514 1404 393

Answer:

  113.57 square units

Step-by-step explanation:

The area of each of the 6 triangular faces is ...

  A = 1/2bh

  A = (1/2)(4)(6) = 12 . . . . square units

The area of the base is ...

  A = (3√3)/2·s² . . . . . . for side length s

  A = (3√3)/2×4² = 24√3 . . . . square units

Then the total area is ...

  total area = base area + face area

  = 24√3 + 6(12) = 24(3 +√3) ≈ 113.57 . . . square units