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3 years ago

5

Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna

s glass

1 answer:

Anuta_ua [19.1K]3 years ago

5 0

Answer:

$\frac{1}{2} \: cup \: of \: juice$

Step-by-step explanation:

See the attached picture for explanation.

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Step-by-step explanation:

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Rasek [7]

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B. 1

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Multiply the first term by $x^a$ , the second term by $x^b$ , the third term by $x^c$ .

<u>The first term becomes:</u>

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<u>The second term becomes:</u>

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2 years ago

Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18

jonny [76]

$\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
9+3d=18\implies 3d=9\implies d=\cfrac{9}{3}\implies \boxed{d=3}$

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}$

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3 years ago

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Slav-nsk [51]

The kite is approximately 78.80 feet off of the ground.

Explanation: If we assume that the string his held taut without any swag, we can use a right triangle to solve for the height of the kite. sin
θ
=
o
p
p
h
y
p

sin
52
o
=
h
100
f
t

100
sin
52
o
=
h

100
(
0.7880
)
=
h

78.80
f
t
=
h

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