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AlexFokin [52]
3 years ago
5

A company blends fruit juices in​ whole-gallon batches. In one​ batch, the ratio of the gallons of Juice A to the gallons of Jui

ce B is 0.525. Find the least number of gallons possible for this batch
Mathematics
1 answer:
LenKa [72]3 years ago
5 0
Change .525 to 525/1000. simplify the fraction, your simple ratio is 21/40, the answer is 61 gallons
You might be interested in
A rectangular prism has a base that is 6 m by 3.5 m in the prism is 9 m high what is the surface area of the prism
brilliants [131]

Answer:

213 meters squared

Step-by-step explanation:

The surface area of a rectangular prism is found using the formula A=2(wl+hl+hw). Here substitute l = 6, w = 3.5 and h = 9.

A = 2((3.5*6) + (9*6) + (3.5*9))

A = 2(21 + 54 + 31.5)

A = 2(106.5)

A = 213

5 0
3 years ago
Simplify the expression 7+3(1-2x)
Levart [38]

Answer:

-6x + 10

Step-by-step explanation:

7 + 3( 1 − 2x)

Distribute:

=7 + (3) (1) + (3) (−2x)

=7 + 3 + −6x

Combine Like Terms:

=7 + 3 + −6x

=(−6x) + (7 + 3)

= −6x + 10

Answer:

= −6x + 10

hope this helps and is right :)

p.s. i rlly need brainliest

7 0
3 years ago
Read 2 more answers
Someone please help me answer
Bingel [31]
Simplify the exponents
3-2=1 therefore it should be 1/7 the third answer. Hope that helps
7 0
3 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
3 years ago
How do I turn those numbers into a mixed number?
BigorU [14]
Number 2 is already a mixed number. But it says mixed number as a decimal. So -1 29/40 as a decimal is -1.725.
8 0
3 years ago
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