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3 years ago

Billy made 5 gallons of juice for a picnic. He said that he made

1 answer:

5 0

The answer is 20. Here is why: there are 4 quarts in 1 gallon and you want to know how many there are in 5. So you multiply 4 by 5 and you get 20 quarts.
Hope this helped a lot. ;-)

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Solve 2(1 – x) > 2x<br> this is my question for algebra

Rudik [331]

To solve this, you need to isolate/get the variable "x" by itself in the inequality:

2(1 - x) > 2x Divide 2 on both sides

$\frac{2(1-x)}{2} >\frac{2x}{2}$

1 - x > x Add x on both sides to get "x" on one side of the inequality

1 - x + x > x + x

1 > 2x Divide 2 on both sides to get "x" by itself

$\frac{1}{2} >x$ or $x$ (x is any number less than 1/2)

[Another way you could've solved it]

2(1 - x) > 2x Distribute 2 into (1 - x)

(2)1 + (2)(-x) > 2x

2 - 2x > 2x Add 2x on both sides

2 - 2x + 2x > 2x + 2x

2 > 4x Divide 4 on both sides to get "x" by itself

$\frac{2}{4} >\frac{4x}{4}$

$\frac{1}{2} >x$

6 0

2 years ago

Help me? idk the answer :P

Alexus [3.1K]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
\left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group}
\\\\
-------------------------------\\\\
$

$\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\
-------------------------------\\\\
\textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4$

$\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\
-------------------------------\\\\
\textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8}
\\\\\\
\cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}$

$\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9$

7 0

2 years ago

The living room in a new house has the dimensions shown. What is the volume of the room?

irga5000 [103]

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

5 0

2 years ago

A high school student named David Merrell did a study of how music affects the ability of rats to run a maze. He trained 71 rats

Alona [7]

Step-by-step explanation:

Heavy Metal "music" impacts negatively the long term memory, if at least the ability to access it.

while harmonic music has no blocking effect or maybe even strengthens the long term memory and the ability to access it.

here 3 remarks.

first 2 scientifically from psychology : memory works mostly associative. that means brains do not store absolute information like a digital computer, but always in combination and association with other pieces of information. if there is nothing else to remember (like a more or less random pattern of sound effects for that the brain cannot find a rule or concept for), there are no associations with presented pieces of information, and the storage and access to it is much harder and restricted.

and - loud crashing and seemingly random noise triggers the panic mode in our brains. and panic is the mode favoring pure instinct and suppressing cognitive functions.

and finally, personally, it just confirms what I literally feel when listening to such music : it destroys at that moment any ability to keep a straight thought, prolonged exposure gives me the feeling that something gets broken inside my brain and thought processes.

I suspect that this is exactly the feeling that the fans of this kind of music are after (kind of like most drugs), but I am not surprised that there actually is something broken in the brain (again, as with drugs).

4 0

1 year ago

Sonji and her friend rachel are competing in a race. When sonji is 0.4 miles from the finish line she notices that her friend ra

goldfiish [28.3K]

Answer:

Sonji is 0.5 miles far from the finish line

Step-by-step explanation:

Data provided in the question:

Distance between the Sonji and the finish line = 0.4 miles

Distance run by Sonji back = one tenth of a mile

i.e = $\frac{1}{10}$ miles = 0.1 miles

Hence,

The total distance of Sonji from the finish line will be

= Distance between the Sonji and the finish line + Distance run by Sonji back

= 0.4 miles + 0.1 miles

= 0.5 miles

Hence,

Sonji is 0.5 miles far from the finish line

5 0

2 years ago