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lord [1]
4 years ago
10

Describe two methods for adding and subtracting linear expressions

Mathematics
1 answer:
otez555 [7]4 years ago
8 0
Three main methods come to mind: Substitution method, Elimination method, Matrix row-reduction.The first two methods are taught in early grades in most high schools. Matrix row-reduction is taught in senior years in high school, or more likely, in the early years of a university math or science program. 
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Its accounting please help me​
Elanso [62]

9514 1404 393

Answer:

  1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B

  2: 4,000 composite units

Step-by-step explanation:

We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.

<h3>1) </h3>

A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:

  A: 72 -40 = 32

  B: 48 -28 = 20

  composite unit: 2A+B = 2(32) +20 = 84

(a) The contribution margin per composite unit is $84.

__

(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:

  84n = 1260000

  n = 1260000/84 = 15000

30,000 units of A and 15,000 units of B must be sold to break even.

__

(c) The additional number of composite units required to achieve pre-tax income of 294000 is ...

  294,000/84 = 3500

37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.

__

<h3>2)</h3>

Contribution margins per unit are ...

  H: 6 -4 = 2

  C: 8 -6 = 2

  I: 10 -7 = 3

A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...

  3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars

The break-even point is 52,000/13 = 4,000 composite units

4 0
3 years ago
-2.4x+3.8x-x please helpppp
nataly862011 [7]

Answer:

0.4x

General Formulas and Concepts:

<u>Algebra I</u>

  • Terms/Coefficients/Degrees

Step-by-step explanation:

<u>Step 1: Define</u>

-2.4x + 3.8x - x

<u>Step 2: Simplify</u>

  1. Combine like terms:                       1.4x - x
  2. Combine like terms:                       0.4x
4 0
3 years ago
Find the area of the orde Round to the nearest tenth for 8 in​
k0ka [10]

Answer:

A≈113.1cm²

Step-by-step explanation:

7 0
4 years ago
In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (b
solong [7]

According to me these are the values missing in the question. Here you go with the values

Rain fall, x 10.5 8.8 13.4 12.5 18.8 10.3 7.0 15.6 16.0

Wheat, y 50.5 46.2 58.8 59.0 82.4 49.2 31.9 76.0 78.8

Answer:

1.440

Step-by-step explanation

9(7187.77)-(112.9)(532.8)/square root 9 (1521.39)-112.92 square root 9 (33,836.58)-532.8*532.8=453.6/square root 9.46 square root 2.06 =0.962

--Equation found in part a

Answer: 11(7187.77)-(112.9)(532.8)/square root (1521.39-112.92*112.92 square root 11 (33,836.58532.8*532.8=189.1/square root 1.28 square root 1.82=1.440

7 0
4 years ago
A reservoir has the shape of a right circular cone. The altitude is 10 feet, and the radius of the base is 4 feet. Water is pour
umka21 [38]

Answer:

Step-by-step explanation:

Given that a reservoir has the shape of a right circular cone. The altitude is 10 feet, and the radius of the base is 4 feet.

We know in a cone at any time of water level, r/h will not change

i.e. at any level of water we have

\frac{r}{h} =\frac{4}{10} \\=0.4

Volume of the cone = V=\frac{1}{3} \pi r^2 h\\V=\frac{1}{3} \pi(0.4h)^2 h\\V = \frac{0.16\pi }{3} h^3

Differentiate with respect to t

\frac{dV}{dt } =\frac{0.16\pi}{3} (3h^2) \frac{dh}{dt}

Substitute the values for dv/dt as 5, h =5 and r = 0.4 (5) = 2

5=\frac{0.16\pi}{3} (3)(5)^2 \frac{dh}{dt} \\ \frac{dh}{dt}=\frac{1}{0.8\pi} \\=\frac{0.125}{\pi} ft/sec

5 0
4 years ago
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