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11111nata11111 [884]
3 years ago
9

Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step

s below. What was Jada's error?
Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

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The area of a square bedroom is 289 square feet. Determine the perimeter of this bedroom. Show your work.
Lemur [1.5K]

A = 289

That's the side s squared,

s² = 289

s = 17

In a square the perimeter is the sum of four equal sides

p = s + s + s + s = 4s = 4(17) = 68

Answer: 68 feet

8 0
3 years ago
Write the equation on the line passing through the two points (-2,11) and (5,-3)
nalin [4]

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 11) and (x₂, y₂ ) = (5, - 3)

m = \frac{-3-11}{5+2} = \frac{-14}{7} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 11), then

11 = 4 + c ⇒ c = 11 - 4 = 7

y = - 2x + 7 ← equation of line

3 0
4 years ago
Misaka solved the radical equation x – 3 = square root of 4x-7 but did not check her solutions. (x – 3)2 = square root of 4x-7^2
Minchanka [31]

Answer:

x=8 is a true solution of the radical equation

Step-by-step explanation:

we have

x-3=\sqrt{4x-7}

Solve for x

squared both sides

(x-3)^{2}=4x-7\\\\x^{2}-6x+9=4x-7\\\\ x^{2}-10x+16=0

Convert to factored form

x^{2}-10x+16=(x-2)(x-8)

The solutions are x=2 and x=8

<u><em>Verify the solutions</em></u>

For x=2

Substitute in the original equation

2-3=\sqrt{4(2)-7}

-1=1 ----> is not true

therefore

x=2 is not a true solution of the radical equation

For x=8

Substitute in the original equation

8-3=\sqrt{4(8)-7}

5=5 ----> is true

therefore

x=8 is a true solution of the radical equation

3 0
4 years ago
Height: 9
Vera_Pavlovna [14]

Answer:

hey ?

Step-by-step explanation:

3 0
4 years ago
What is the explicit rule for the sequence?<br><br><br><br> 12,6,0,−6, …
wolverine [178]
Hello!

First you find the common difference in the sequence

6 - 12 = -6
0 - 6 = -6

The common difference is -6

We can now make the equation

-6(n - 1) + 12

we got the 12 because it is the first number in the sequence

Simplify

-6n + 6 + 12

Simplify

18 - 6n

The answer is B) an = 18 - 6n

Hope this helps!
7 0
3 years ago
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