6/x + 8/x+5 = 3

What is x

Answer:

The equation of the line in slope-intercept form is y = -x + 6

Step-by-step explanation:

The form of the slope-intercept form of the linear equation is

y = m x + b, where

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

Let us choose two points on the line to form the equation

∵ Points (6, 0) and (0, 6) lie on the line

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope to find it

∵ [tex]m=\frac{6-0}{0-6}=\frac{6}{-6}=-1[/tex]

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the y-intercept

∵ The y-intercept is the value of y at x = 0

∵ At x = 0, y = 6

∴ b = 6

→ Substitute the value of b in the equation

∵ y = -x + 6

∴ The equation of the line in slope-intercept form is y = -x + 6

okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you  know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like

(-3/2)-6+n=4   you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y

b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so

(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y

Answer:

25

Step-by-step explanation:

3 over 3 = 1

5 x (4-1)

5 x 4 = 20

5 x 1 = 5

20 + 5 = 25

Answer:

Step-by-step explanation:

3. In particular, the set of solutions to 2x - 3y = 7 is a straight line. (This is why it's called a linear equation.)

Answer:

x = 3

Step-by-step explanation:

6x - 2 = x + 13

6x - x = 13 + 2

5x = 15

x = 3

Answer-

Step by step explanation:

We know that perimeter of a triangle is equal to sum of the sides of a triangle.

So, we need to add the sides,

(6x - 1) + (5x + 16) + (3x + 40) = Perimeter of triangle

6x - 1 + 5x + 16 + 3x + 40

14x + 55

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

answer:

option c is correct!

explanation:

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

180. 180 ÷ 5 = 36, and 180 ÷ 3 = 60, and 60 + 36 = 96.

Answer: Define variables:

x = Cost of orange

y= Cost of lemon

System of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Step-by-step explanation:

Let x = Cost of orange

y= Cost of lemon

Cost of both = (Number of oranges) x (Cost of orange) + (Number of lemons) x (Cost of lemon)

As per given,

6x+5y = 5.67

3x+7y = 4.32

Hence, system of equations that represents this situation:

6x+5y = 5.67

3x+7y = 4.32

Answer:

Step-by-step explanation:

x =121.42

Answer:

x = 82.35

Step-by-step explanation:

42/51 = x/100

cross multiply, then you get

42*100 = 51*x

4200/51 = 51x/51

x = 82.35

Answer:

7/16

Step-by-step explanation:

Divide each side by 5

Answer:

I'm pretty sure its 18!

Step-by-step explanation:

Negative times Negative is a positive.

2×9 is 18 so that's the answer!

Answer:

18

Step-by-step explanation:

-2 x -9 = -2(-9)

Multiplying two negatives equals a positive

and 2 x 9 equals 18.

(-) x (-) = (+)

Sorry if it doesn't make sense.

Answer:x=8

Step-by-step explanation:

Answer:

182

Step-by-step explanation:

5 yards = 5*3 = 15 feet

15 feet = 15 * 12 = 180 inches.

There are 2 more inches in the ribbon. 180 + 2 = 182 inches.

Answer: 20

.....................

Answer:

90

Step-by-step explanation:

PVQ = 60 an RVS = 30,  60 + 30 = 90

Answer:

Domain: [-3, 2]

Range: [-3, 3]

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Range is the set of y-values that are outputted by function f(x).

We see that our x-values span from -3 to 2. Since they are both closed dots, they are included in the domain:

[-3, 2] or -3 ≤ x ≤ 2

We see that our y-values span form -3 to 3. Since they are both closed dots, they are included in the range:

[-3, 3] or -3 ≤ x ≤ 3

Answer:

the uncovered part is 3 by 7

Answer:

slope = 3

Step-by-step explanation:

rise/run = 6/2 = 3

Answer:

Total pounds of spinach = 5 pounds

Pounds used for salad = 0.5 pounds

Step-by-step explanation:

Let

Total spinach = x

She used pan of spinach pie for a party = 3/5x

Remaining spinach = x - 3/5x

= 5x-3x/5

= 2/5x

She used 3/4 of the remaining spinach for a pan for her family

3/4 of 2/5x

= 3/4 × 2/5x

= 6/20x

= 3/10x

she used the rest to make a salad.

Salad = x - (3/5)x - (3/10)x

= (1 - 3/5 - 3/10)x

= (10-6-3/10)x

= 1/10x

If rose used 3 pounds of spinach to make the pan of spinach pie for the party how many pounds of spinach did rose use to make the saled

She used pan of spinach pie for a party = 3/5x

3/5x = 3 pounds

Divide both sides by 3/5

x = 3 ÷ 3/5

= 3 × 5/3

x = 5 pounds

Salad = 1/10x

= 1/10 * 5

= 5/10

= 0.5 pounds

Answer/Step-by-step explanation:

A. Distance travelled at constant rate = 180 miles

Rate of travel (r) = distance travelled (d) /time (t)

Travel time (hrs) ==> rate of travel (miles/hr)

5 ==> 180/5 = 36

4.5 ==> 180/4.5 = 40

3 ==> 180/3 = 60

2.25 ==> 180/2.25 = 80

B. t = time travelled in hrs,

r = rate (miles/hr)

d = distance travelled = 180

Therefore, rate travelled for t hours would be:

[tex] r = \frac{180}{t} [/tex]

The rate of travel gives the average speed the car will be going if it covers

the 180 miles in different times

Part 1. The table showing the rate at which the car was going is presented as follows;

[tex]\begin{array}{|c|cc|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&&36\\&&\\4.5&&40\\&&\\3&&60\\&&\\2.25&&80\end{array}\right][/tex]

Part 2. To  make it easy to find the rate of travel, the following equation may be uses;

Reasons:

Part 1.

The given distance travelled by the car = 180 miles

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Therefore, we have;

[tex]\begin{array}{|c|c|c|} \underline{\mathbf{Travel \ time, \, t\ (hours)}}&\underline{\mathbf{Rate=\dfrac{180}{t} } }&\underline{\mathbf{Rate \ of \ travel \ (miles \ per \ hour)}}\\&&\\5&\dfrac{180}{5} = 36&36\\&&\\4.5&\dfrac{180}{4.5} = 40&40\\&&\\3&\dfrac{180}{3} = 60&60\\&&\\2.25&\dfrac{180}{2.25} = 80&80\end{array}\right][/tex]

Part 2.

The equation that would simplify the finding of the car's travel rate is given

by the following expression;

[tex]The \ rate \ of \ travel= \dfrac{Distance \ traveled}{Time \ taken}[/tex]

Where:

The constant distance traveled = 180 miles

The time taken = t

The equation that will make finding the rate of travel, easy in therefore;

[tex]\underline{The \ rate \ of \ travel= \dfrac{180 \ miles}{t \ hours}}[/tex]

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