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solmaris [256]
3 years ago
13

Write and upload an algebraic proof for the given equation.

Mathematics
1 answer:
dangina [55]3 years ago
3 0

Answer:

  We can use the distributive property, and the addition, division, and symmetric properties of equality to rewrite the equation to x=23.

Step-by-step explanation:

Using the distributive property, we can expand the right side to give ...

  4x +10 = 6x -36

Using the addition property of equality, we can add 36-4x to both sides of the equation:

  4x +10 +36 -4x = 6x -36 +36 -4x

  46 = 2x . . . the result of collecting terms

Using the division property of equality, we can divide both sides of the equation by 2:

  46/2 = 2x/2

  23 = x

Using the symmetric property of equality, we can rewrite this as ...

  x = 23

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4 0
3 years ago
It takes Evan 6 3/4 hours to mow 3 lawns. it takes him 2 1/3 hours to mow Mr. Smiths yard and 1 3/4 hours to mow Ms. Lee's yard.
Ratling [72]

Answer: 2\frac{2}{3}\ hours

Step-by-step explanation:

Given: The total time taken by Evan to mow the 3 lawns = 6\frac{3}{4}=\frac{27}{4}\ \text{hours}

Time taken by Evan to mow the first lawn =2\frac{1}{3}=\frac{7}{3}\ \text{hours}

Time taken by Evan to mow the second lawn =1\frac{3}{4}=\frac{7}{4}\ \text{hours}

Now,Time taken by Evan to mow the third lawn =\frac{27}{4}-\frac{7}{3}-\frac{7}{4}

⇒Time taken by Evan to mow the third lawn =\frac{81-28-21}{12}

⇒Time taken by Evan to mow the third lawn =\frac{32}{12}=\frac{8}{3}=2\frac{2}{3}\ hours

Hence, the time taken by Evan to mow the third lawn = 2\frac{2}{3}\ hours

7 0
3 years ago
THE GRAPH IS BELOW THANKS :) Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day
Vaselesa [24]

Answer:

(a) We will form an equation of line from the points given (6,10) and (2,15)

Using:y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)

On substituting the values in the formula above we will get the required equation of line.

y-10=\frac{15-10}{2-6}\cdot (x-6)

\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)

On simplification we will get:

y=\frac{1}{4}(-5x+70)

(b) We need to tell at day 0 put x=0 in above equation:

y=\frac{1}{4}(-5\cdot 0+70)

y=70

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in y=\frac{1}{4}(-5x+70)

m=\frac{-5}{4}  which is the decrease per day.


3 0
3 years ago
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Phoenix [80]
B. Only Sequence B

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7 0
3 years ago
Read 2 more answers
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goblinko [34]
1) Factor out common terms in the first two terms, then in the last two terms
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2) Factor out the common term x+2
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Done!
5 0
3 years ago
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