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3 years ago

Isolate the variable for x/5=7.5 1 x=35 2 x=1.5 3 x= 37.5 4 x= 2.5

Mathematics

1 answer:

monitta3 years ago

6 0

Answer:

3, x=37.5

Step-by-step explanation:

Since you need to get x alone, you need to get rid of the ÷5. to do this, you need to do the opposite. ×5.

multiply both sides by 5 and you get

x= 7.5(5)

x= 37.5

so the answer would be

3, x=37.5

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3 years ago

Sally needs 2/3 of a pound of potatoes. This is 1/3 of a pound more than 4/3 of the potatoes Sally has in her pantry

amid [387]

Lets assume, Sally has X pound of potatoes in her pantry.

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Now, Sally needs 2/3 pound of potatoes and this 2/3 pound of potatoes is 1/3 pound more than that $\frac{4}{3}X$

So the representing equation will be:

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3 years ago

2 math questions. Please show your work if you can, I struggle with this, Thanks !! 20pts

castortr0y [4]

Step-by-step explanation:

To find the solution, Tanisha can graph each side of the equation as its own function:

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desmos.com/calculator/lkukjhn3g2

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3 years ago

I don't understand how to do find x and y, please help? thank yous.

pav-90 [236]

#8) There are THREE right-angle (90°) TRIANGLES.

The "big" triangle has legs "x" and "no designation - so lets call it Z" and hypotenuse "4+5" = 9

The "left" triangle has legs "4" and "y" and hypotenuse "x"

The "right" triangle has legs "5" and "y" and hypotenuse "no designation - which we named Z"

Now, you can create a system of equations - you have three unknown variables and can create an equation for each triangle using the Pythagorean Theorem.

Big: x² + Z² = 9² → x² + Z² = 81

Left: 4² + y² = x² → 16 + y² = x² → 16 = x² - y² → x² - y² = 16

Right: 5² + y² = Z² → 25 + y² = Z²

Next, let's eliminate Z by using substitution....use the Right equation to plug Z² into the Big equation to create a NEW Big equation.

NEW Big: x² + (25 + y² ) = 81 → x² + y² = 81 - 25 → x² + y² = 56

Now, we have two unknown variables (x and y) and two equations (NEW Big and Left). Solve the system using any method. I am going to solve using the elimination method)

NEW Big: x² + y² = 56

+ Left: x² - y² = 16

2x² = 72 added the NEW Big and Left equations

x² = 36 divided both sides by 2

x = 6 took square root of both sides (NOTE: -6 is disregarded because we are solving for a length, which cannot be negative)

The last step is to plug the "x" value (that we just solved for) into one of the equations to solve for "y". I am choosing to use the Left equation.

x² - y² = 16

36 - y² = 16

- y² = 16 - 36

- y² = -20

y² = 20

y = √20

y = 2√5

Answer: x = 6, y = 2√5

Try #9 on your own and then check your answers below:

Big: Z² + x² = 12², Left: 3² + y² = Z², Right: y² + 9² = x²

Answer: x = 6√3, y = 3√3

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3 years ago