You will have $5 left because if you spend 1.25 on 12 snacks you will spend $15
Answer:
The value of x is ![- \frac{4}{3}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B4%7D%7B3%7D%20)
Step-by-step explanation:
☆Combine like terms and solve!
![\frac{1}{4} x + \frac{4}{3} x - \frac{5}{6} x + 1 = 0 \\ \\ \frac{3}{4} x + 1 = 0 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1 = - 1}{ \frac{ \frac{3}{4}x }{ \frac{3}{4} } = \frac{ - 1}{ \frac{3}{4} } } \\ \\ x = - \frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20x%20%2B%20%20%5Cfrac%7B4%7D%7B3%7D%20x%20-%20%20%5Cfrac%7B5%7D%7B6%7D%20x%20%2B%201%20%3D%200%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7B3%7D%7B4%7D%20x%20%2B%201%20%3D%200%20%5C%5C%20%20%5Cfrac%7B%20%20%5C%3A%20%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20-%201%20%3D%20%20-%201%7D%7B%20%5Cfrac%7B%20%5Cfrac%7B3%7D%7B4%7Dx%20%7D%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%3D%20%20%20%5Cfrac%7B%20-%201%7D%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%7D%20%20%5C%5C%20%5C%5C%20%20x%20%3D%20%20-%20%20%5Cfrac%7B4%7D%7B3%7D%20)
☆Happy to help!
Answer:
(-1, -6)
Step-by-step explanation:
2x-3y=16
2x-16=3y
13=5x-(2x-16)
13=5x-2x+16
-3=3x
-1=x
3y=2x-16
3y=-2-16
3y=-18
y=-6
G=b-3 and c=29=b+g substituting the first into the second gives you...
b+(b-3)=29
2b-3=29 add 3 to both sides
2b=32 divide both sides by 2
b=16
So there were 16 boys and (29-16) 13 girls in Ms. Wong's class.
Answer:
The probability the average mpg is less than 28 mpg is 0.8413.
Step-by-step explanation:
Given : The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal with
Mean
mpg and standard deviation
mpg.
Number of sample n=36
To find : What is the probability the average mpg is less than 28 mpg?
Solution :
Applying z-score formula,
![z=\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
The portability is given by, ![P(X](https://tex.z-dn.net/?f=P%28X%3C28%29)
![=P(\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%3C%5Cdfrac%7B28-26%7D%7B%5Cfrac%7B12%7D%7B%5Csqrt%7B36%7D%7D%7D%29)
![=P(\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%3C%5Cdfrac%7B2%7D%7B%5Cfrac%7B12%7D%7B6%7D%7D%29)
![=P(z](https://tex.z-dn.net/?f=%3DP%28z%3C%5Cdfrac%7B2%7D%7B2%7D%29)
![=P(z](https://tex.z-dn.net/?f=%3DP%28z%3C1%29)
Using z-table,
![=0.8413](https://tex.z-dn.net/?f=%3D0.8413)
Therefore, the probability the average mpg is less than 28 mpg is 0.8413.