Answer:
I wish I could... T-T
Step-by-step explanation:
Answer:
![\large\boxed{7\dfrac{8}{9}+3.1=10\dfrac{89}{90}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B7%5Cdfrac%7B8%7D%7B9%7D%2B3.1%3D10%5Cdfrac%7B89%7D%7B90%7D%7D)
Step-by-step explanation:
![\text{Convert the decimal to the fraction:}\\\\3.1=\dfrac{31}{10}=3\dfrac{1}{10}\\\\7\dfrac{8}{9}+3.1=7\dfrac{8}{9}+3\dfrac{1}{10}\\\\\text{The common denominator is 90.}\\90=9\cdot10\\\\7\dfrac{8}{9}=7\dfrac{8\cdot10}{9\cdot10}=7\dfrac{80}{90}\\\\3\dfrac{1}{10}=3\dfrac{1\cdot9}{10\cdot9}=3\dfrac{9}{90}\\\\\\7\dfrac{8}{9}+3.1=7\dfrac{80}{90}+3\dfrac{9}{90}=(7+3)+\dfrac{80+9}{90}=10\dfrac{89}{90}](https://tex.z-dn.net/?f=%5Ctext%7BConvert%20the%20decimal%20to%20the%20fraction%3A%7D%5C%5C%5C%5C3.1%3D%5Cdfrac%7B31%7D%7B10%7D%3D3%5Cdfrac%7B1%7D%7B10%7D%5C%5C%5C%5C7%5Cdfrac%7B8%7D%7B9%7D%2B3.1%3D7%5Cdfrac%7B8%7D%7B9%7D%2B3%5Cdfrac%7B1%7D%7B10%7D%5C%5C%5C%5C%5Ctext%7BThe%20common%20denominator%20is%2090.%7D%5C%5C90%3D9%5Ccdot10%5C%5C%5C%5C7%5Cdfrac%7B8%7D%7B9%7D%3D7%5Cdfrac%7B8%5Ccdot10%7D%7B9%5Ccdot10%7D%3D7%5Cdfrac%7B80%7D%7B90%7D%5C%5C%5C%5C3%5Cdfrac%7B1%7D%7B10%7D%3D3%5Cdfrac%7B1%5Ccdot9%7D%7B10%5Ccdot9%7D%3D3%5Cdfrac%7B9%7D%7B90%7D%5C%5C%5C%5C%5C%5C7%5Cdfrac%7B8%7D%7B9%7D%2B3.1%3D7%5Cdfrac%7B80%7D%7B90%7D%2B3%5Cdfrac%7B9%7D%7B90%7D%3D%287%2B3%29%2B%5Cdfrac%7B80%2B9%7D%7B90%7D%3D10%5Cdfrac%7B89%7D%7B90%7D)
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter (
), in inches, of the round balloon to an entirely decimal mode:
![D = 7\,in + \frac{3}{8}\,in](https://tex.z-dn.net/?f=D%20%3D%207%5C%2Cin%20%2B%20%5Cfrac%7B3%7D%7B8%7D%5C%2Cin)
![D = \frac{56 + 3}{8}\,in](https://tex.z-dn.net/?f=D%20%3D%20%5Cfrac%7B56%20%2B%203%7D%7B8%7D%5C%2Cin)
![D = \frac{59}{8}\,in](https://tex.z-dn.net/?f=D%20%3D%20%5Cfrac%7B59%7D%7B8%7D%5C%2Cin)
![D \approx 7.375\,in](https://tex.z-dn.net/?f=D%20%5Capprox%207.375%5C%2Cin)
The volume of the balloon is modelled after the volume function of a sphere (
), in cubic inches:
(1)
If we know that
, then the volume of the round balloon is:
![V = \frac{\pi}{6}\cdot D^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B6%7D%5Ccdot%20D%5E%7B3%7D)
![V = \frac{\pi}{6} \cdot (7.375\,in)^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B%5Cpi%7D%7B6%7D%20%5Ccdot%20%287.375%5C%2Cin%29%5E%7B3%7D)
![V \approx 210.031\,in^{3}](https://tex.z-dn.net/?f=V%20%5Capprox%20210.031%5C%2Cin%5E%7B3%7D)
Hence, the right answer is approximately 210.031 cubic inches.
Answer: x=20
Step-by-step explanation:
When solving for a 5-sided pentagon we know the degrees add up to 540 degrees
Step 1: Write all variables given into an equation equal to 540 degrees
4x+5+7x+4x+10+6x+10+5x-5=540
I did not include the parenthesis because when I write out my equation they all share the same variable meaning they are like terms that can be combined.
Step 3: Combine like terms
26x+20=540
Step 4: Isolate the variable
By combining like terms like subtrating 20 to both sides. Always remember what you do to one side you must do to the other.
26x=540-20
Step 5:Continue to isolate the variable
26x=520
x=520/26
x=20
Final Answer
x=20 :) Hope that helped
Answer:
It costs $1.50 or $1 and 50cents to play one game
Step-by-step explanation:
let x represent cost of games and y represent cost of rides
6x+4y=$22——equation 1
4x+8y=$32——equation 2
Multiply equation 1by 2
2(6x+4y=$22)=12x+8y=$44
Subtract equation 2from 1 to eliminate y
12x-4x+8y-8y=$44-32
8x=$12
x=$12/8=$1.5
Plug in x=1.5 into equation 2
4($1.5)+8y=$32
8y=$32-$6
8y=$26
y=26/8=$3.25