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4 years ago

How to solve a+5=-5a+5

2 answers:

8 0

Simplifying
a + 5 = -5a + 5

Reorder the terms:
5 + a = -5a + 5

Reorder the terms:
5 + a = 5 + -5a

Add '-5' to each side of the equation.
5 + -5 + a = 5 + -5 + -5a

Combine like terms: 5 + -5 = 0
0 + a = 5 + -5 + -5a
a = 5 + -5 + -5a

Combine like terms: 5 + -5 = 0
a = 0 + -5a
a = -5a

Solving
a = -5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5a' to each side of the equation.
a + 5a = -5a + 5a

Combine like terms: a + 5a = 6a
6a = -5a + 5a

Combine like terms: -5a + 5a = 0
6a = 0

Divide each side by '6'.
a = 0

Simplifying
a = 0

allochka39001 [22]4 years ago

5 0

1 Cancel 5 on both sides.

a=-5aa=−5a

2 Subtract -5a−5a from both sides.

a+5a=0a+5a=0

3 Simplify a+5aa+5a to 6a6a.

6a=06a=0

4 Divide both sides by 66.

a=0a=0

------------------------------------------------------------------------------------------

a+5=-5a+5a+5=−5a+5

1 Let a=0a=0.

0+5=-5\times 0+50+5=−5×0+5

2 Simplify 5\times 05×0 to 00.

0+5=-0+50+5=−0+5

3 Simplify 0+50+5 to 55.

5=-0+55=−0+5

4 Simplify -0+5−0+5 to 55.

5=55=5

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The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

deff fn [24]

Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

4 0

4 years ago

Use the Pythagorean theorem to find the length of the diagonal of a square that has an area of 289 square inches

Veronika [31]

Answer:

The answer is approximately 24.041 inches (round to the nearest tenth, hundredth, or thousandth if it is indicated in the instructions.)

Step-by-step explanation:

First, I figured out what the square root of 289 is. The square root of 289 is 17.

Given that this is a square we are dealing with, we can assume that all sides are equal.

So, when you draw a diagonal down the square, it becomes two triangles, one of which we can use the Pythagorean theorem for.

a^2 + b^2 = c^2. Thus, 17^2 + 17^2 = 578. The square root of 578 unfortunately does not come out evenly, so we are left with approximately 24.041 inches.

I hope this helps!

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Sveta_85 [38]

Answer:

$\sqrt{7}+\sqrt{3}+4\sqrt{2}$
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Step-by-step explanation:

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