Answer:
1. Hit the skin with a needle or pin is a good example of stimulus. The sudden removing of the hand is the response.
2. When somebody bangs a door you jump if you were unaware because of the sound. The jumping is the response to a stimulus.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
![\frac{-1}{5} * (\frac{3}{4} + \frac{1}{7})](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%28%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B7%7D%29%20)
Required:
Solve
Solution:
![\frac{-1}{5} * (\frac{3}{4} + \frac{1}{7})](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%28%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B7%7D%29%20)
Apply distributive property by multiplying each reaction in the box by -⅕
![(\frac{-1}{5} * \frac{3}{4}) + (\frac{-1}{5} * \frac{1}{7})](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%29%20%2B%20%28%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%5Cfrac%7B1%7D%7B7%7D%29%20)
![\frac{-3}{20} + \frac{-1}{35}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7B20%7D%20%2B%20%5Cfrac%7B-1%7D%7B35%7D%20)
Add together. Common denominator is 140. Therefore:
![\frac{-21 + (-4)}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-21%20%2B%20%28-4%29%7D%7B140%7D%20)
![\frac{-25}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-25%7D%7B140%7D%20)
Simplify further
![\frac{-5}{28}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-5%7D%7B28%7D%20)
Cost of each gallon of paint = x=$17
and Cost of each brush = y=$5.5
Step-by-step explanation:
Let Cost of each gallon of paint = x
and Cost of each brush = y
So, You purchase 8 gal of paint and 3 brushes for $152.50 can be written as:
![8x+3y=152.50](https://tex.z-dn.net/?f=8x%2B3y%3D152.50)
you purchase 6 gal of paint and 2 brushes for $113.00 can be written as:
![6x+2y=113.00](https://tex.z-dn.net/?f=6x%2B2y%3D113.00)
solving these equations to find value of x and y
![8x+3y=152.50\,\,\,(1)\\6x+2y=113.00\,\,\,\,(2)](https://tex.z-dn.net/?f=8x%2B3y%3D152.50%5C%2C%5C%2C%5C%2C%281%29%5C%5C6x%2B2y%3D113.00%5C%2C%5C%2C%5C%2C%5C%2C%282%29)
Multiply eq(1) with 2 and eq(2) with 3
![16x+6y=305\\18x+6y=339\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\-2x=-34\\x=\frac{-34}{-2}\\ x=17](https://tex.z-dn.net/?f=16x%2B6y%3D305%5C%5C18x%2B6y%3D339%5C%5C-%5C%2C%5C%2C%5C%2C%5C%2C-%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C-%5C%5C--------%5C%5C-2x%3D-34%5C%5Cx%3D%5Cfrac%7B-34%7D%7B-2%7D%5C%5C%20x%3D17)
So, value of x=17
Putting value of x=17 into eq(1)
![8x+3y=152.50](https://tex.z-dn.net/?f=8x%2B3y%3D152.50)
![8(17)+3y=152.50\\136+3y=152.50\\3y=152.5-136\\3y=16.5\\y=\frac{16.5}{3}\\y=5.5](https://tex.z-dn.net/?f=8%2817%29%2B3y%3D152.50%5C%5C136%2B3y%3D152.50%5C%5C3y%3D152.5-136%5C%5C3y%3D16.5%5C%5Cy%3D%5Cfrac%7B16.5%7D%7B3%7D%5C%5Cy%3D5.5)
So, value of y= 5.5
Cost of each gallon of paint = x=$17
and Cost of each brush = y=$5.5
Keywords: algebraic word problems
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Answer: a: 543.2 b: 465.6
Step-by-step explanation:
a. find 30% of $776, which is 232.8. subtract 232.8 from 776.
b. find 40% of $776, which is 310.4. subtract 310.4 from 776
Take 6.5 divided by 2.75 which equals 2.36, 2.36 times 2.75 equals 6.5