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trapecia [35]
3 years ago
13

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and

a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. What algebraic inequality represents this situation?
Mathematics
2 answers:
pashok25 [27]3 years ago
3 0
5.5< OR = Equal to 20
Masja [62]3 years ago
3 0

a. is the correct answer

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.
ElenaW [278]

Answer:

Part 1) a=-\frac{1}{4c^6}

Part 2) a=-\frac{1}{4c^{-6}}

Step-by-step explanation:

Part 1) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2}c^{-2} ----> equation B

substitute equation B in equation A

a=2(-\frac{1}{2}c^{-2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}

therefore

a=-\frac{1}{4c^6}

Part 2) we have

a=2b^{3} ----> equation A

b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2} ----> equation B

substitute equation B in equation A

a=2(-\frac{c^{2}}{2})^{3}

Applying property of exponents

(x^{m})^{n}=x^{m*n}

x^{-m} =\frac{1}{x^{m}}

a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})

simplify

a=-\frac{c^{6}}{4}

therefore

a=-\frac{1}{4c^{-6}}

6 0
3 years ago
Simplify(7x^-2x+5)-(3x^2+4x+10)<br> show all steps
ad-work [718]
If we are looking to simplify two trinomials, it is easiest to put them on top of each other and subtract.

   7x²  - 2x  + 5                      7x² - 2x + 5
- (3x² + 4x + 10)                  -3x² - 4x - 10

4x² - 6x - 5                   

7 0
3 years ago
Read 2 more answers
What is the solution of log2x+3125 = 3? (1 point)
enot [183]

Answer:

x =  - 1062.5

Step-by-step explanation:

Assuming the equation is:

log(2x + 3125)  = 3

Then taking antilogarithms gives:

2x + 3125 =  {10}^{3}

We simplify on the left to get:

2x + 3125 = 10 \times 10 \times 10

This gives us:

2x + 3125 =1000

We subtract 3125 from both sides to get:

2x = 1000 - 3125

2x = -  2125

x =  - 1062.5

6 0
3 years ago
Any has 2 rows of 4 sports trophies on each of her 3 shelves. How many sports trophies does Amy have?
Alla [95]
2 multiply by 4 is 8 , 8 multiply 3 is 24
5 0
3 years ago
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What is answer to -14r-19=303
zubka84 [21]
-14r = 303 + 19
-14r = 322
r = -322/14

r = -23

\boxed{\huge{\sf{r=-23}}}
4 0
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