What’s the equation of this graph

HELP When 2((Three-fifths x + 2 and three-fourths y minus one-fourth x minus 1 and one-half y + 3)) is simplified, what is the r

lesya692 [45]

Answer:

<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>

Step-by-step explanation:

Given the expression $2(\frac{3x}{5}+2\frac{3y}{4}-\frac{x}{4}-1 \frac{1}{2}y+3)$

To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;

$= 2(\frac{3x}{5}-\frac{x}{4}-1 \frac{1}{2}y+2\frac{3}{4}y+3)\\= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\$

Then we find the LCM of the resulting function

$= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\= 2(\frac{12x-5x}{20} - (\frac{6y-11y}{4})+3)\\= 2(\frac{7x}{20}- (\frac{-5y}{4})+3 )\\= 2(\frac{7x}{20}+ \frac{5y}{4}+3 )\\= \frac{7x}{10} + \frac{5y}{2} +6\\= \frac{7x}{10} + 2\frac{1}{2}y+6\\$

The final expression gives the required answer

7 0

2 years ago

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave

USPshnik [31]

Answer:

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be $x.$

And the time Julio travel by walking be $y.$

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

$x+y=7$

$y=7-x\ \ \ .......(1)$

So, the distance travelled by bike:

Speed × time

$8\times x=8x$

And, the distance travelled by walking:

Speed × time

$7\times y=7y$

Now, the total distance travelled by Julio:

$8x+7y=52$

Substituting the value of $x$ from equation (1) we get:

$8x+7(7-x)=52$

$8x+49-7x=52\\\\x+49=52$

Subtracting both sides by 49 we get:

$x=3.$

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of $x$ :

$y=7-x\\\\y=7-3\\\\y=4\ hours.$

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0

3 years ago

I WILL MARK BRAINLIEST TO THE PERSON WITH THE BRAINLIEST ANSWER!! PLEASE ANSWER ALL QUESTIONS AND SHOW FULL SOLUTIONS. PLEASE SH

garik1379 [7]

9514 1404 393

Answer:

1a) x = 4

1c) x = 6

1d) x = 10

1f) x = -42

Step-by-step explanation:

1a) 3x -8 = 4

This is a "two step" equation with a variable term and constant on the same side of the equal sign. Step 1, add the opposite of that constant to both sides of the equation:

3x = 12

Step 2: divide both sides of the equation by the coefficient of the variable:

x = 4

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1c) This is similar to 1a, except that it has variables on both sides of the equal sign. Find the variable term with the smallest coefficient. Here, it is -x, because the coefficient -1 is less than 2. Add the opposite of that term to both sides of the equation:

3x -8 = 10

Now, you have a 2-step equation in the same form as 1a. Solve it the same way.

3x = 18 . . . . add 8

x = 6 . . . . . . divide by 3

Check

2(6) -8 = 10 -(6)

12 -8 = 10 -6

4 = 4 . . . . . true; answer is correct

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1d) After you eliminate parentheses using the distributive property, you end up with a 3-step equation as in 1c.

6x -12 = 3x +2x -2

6x -12 = 5x -2 . . . . . . combine like terms. (5x is the smallest x-term)

x -12 = -2 . . . . . . . . . subtract 5x

x = 10 . . . . . . . . . . . . add 12

Check

6(10 -2) = 3(10) +2(10 -1)

6(8) = 30 +2(9)

48 = 30 +18

48 = 48 . . . . true; answer is correct

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1f) You can work this as is using the fractional coefficients. Most folks prefer to "clear fractions" first. To do that, you need to find the least common denominator and multiply both sides of the equation by it. The least common denominator of 1/3 and 1/2 is 6.

2x = 3x +42 . . . . . multiply both sides by 6

0 = x + 42 . . . . . . . subtract the smallest x-term from both sides

-42 = x . . . . . . . . . add -42

Check

(-42)/3 = (-42)/2 +7

-14 = -21 +7

-14 = -14 . . . . . . . true; answer is correct

___

If you work this using the given coefficients, you can subtract 1/3x to get ...

0 = x/6 +7

-7 = x/6 . . . . . subtract 7

-42 = x . . . . . . multiply by 6

You notice that we had to multiply by 6 in the solution process anyway. Doing that first makes the fractions go away, so is often the preferred solution method.

6 0

2 years ago

Read 2 more answers

Which of the following fractions can be represented by a terminating decimal? A. 8/9 B. 13/8 C. 4/3 D. 6/11

goblinko [34]

Answer:

B

Step-by-step explanation:

13/8 because when simplified into a decimal would be 1.625 and if you round would be 2 so you take out the decimal

4 0

3 years ago

Read 2 more answers