option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).
<u>Step-by-step explanation:</u>
We have , The given expression as Three-fourths x = negative 6 , which can be written as
. Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's
, Let's make coefficient of x as 1 by multiplying both side of equations by 4/3:
![\frac{3}{4} (x) = -6](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%28x%29%20%3D%20-6)
⇒ ![\frac{3}{4} (x) = -6](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%28x%29%20%3D%20-6)
⇒ ![\frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%28%5Cfrac%7B4%7D%7B3%7D%20%29%20%28x%29%20%3D%20-6%28%5Cfrac%7B4%7D%7B3%7D%20%29)
⇒ ![x = -6(\frac{4}{3} )](https://tex.z-dn.net/?f=x%20%3D%20-6%28%5Cfrac%7B4%7D%7B3%7D%20%29)
⇒ ![x = -2(4)](https://tex.z-dn.net/?f=x%20%3D%20-2%284%29)
⇒ ![x = -8](https://tex.z-dn.net/?f=x%20%3D%20-8)
Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>
For the first figure the Circumference of the circle is: 5.3![\ip](https://tex.z-dn.net/?f=%5Cip)
cm.
For the second figure the Circumference of the circle is: 80![\ip](https://tex.z-dn.net/?f=%5Cip)
inch.
<h3>What is Circumference of the Circle?</h3>
The circumference of a circle is defined as the linear distance around it.
i.e., ![C= 2 *\pi*r](https://tex.z-dn.net/?f=C%3D%202%20%2A%5Cpi%2Ar)
Circumference of the circle:
![= 2 *\pi*r](https://tex.z-dn.net/?f=%3D%202%20%2A%5Cpi%2Ar)
![= 2 *\pi* \frac{5.3}{2}](https://tex.z-dn.net/?f=%3D%202%20%2A%5Cpi%2A%20%5Cfrac%7B5.3%7D%7B2%7D)
![= 2 *\pi*2.65](https://tex.z-dn.net/?f=%3D%202%20%2A%5Cpi%2A2.65)
![Circumference= 5.3*\pi cm](https://tex.z-dn.net/?f=Circumference%3D%205.3%2A%5Cpi%20cm)
Circumference ![= 2 *\pi*r](https://tex.z-dn.net/?f=%3D%202%20%2A%5Cpi%2Ar)
![= 2 *\pi*40](https://tex.z-dn.net/?f=%3D%202%20%2A%5Cpi%2A40)
![= 80 *\pi](https://tex.z-dn.net/?f=%3D%2080%20%2A%5Cpi)
![Circumference =80\pi \;inch](https://tex.z-dn.net/?f=Circumference%20%3D80%5Cpi%20%5C%3Binch)
For the first figure the Circumference of the circle is: 5.3![\ip](https://tex.z-dn.net/?f=%5Cip)
cm.
For the second figure the Circumference of the circle is: 80![\ip](https://tex.z-dn.net/?f=%5Cip)
inch.
Learn more about circumference of circle here:
brainly.com/question/23239017
#SPJ1
Answer:
let x is the smaller number
bigger number is x + 8
The sum of two numbers is 72
so
x + (x+8) = 72
answer
x + (x + 8) = 72
Step-by-step explanation:
Answer:
%18 tip
Step-by-step explanation:
The dinner cost was $29 before tip
after tip it was $32.22
34.22-29= $5.22 she tipped
$29 * %x = $5.22
After solving this equation, the x is %18
16 and 1/5 is equal to 16.2
So 19.8 subtract 16.2 is equal to 3.6
Savannah is 3.6 or 3 and 3/5 seconds faster than Paloma.