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Svetradugi [14.3K]
3 years ago
12

Alan threw 8 grams of sugar into 32 grams of water. He made ______ grams of _______% sugar syrup.

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0

Answer:

He made 40 grams of 20% sugar syrup.

Step-by-step explanation:

Alan threw 8 grams of sugar into 32 grams of water and got 8 + 32 = 40 grams of sugar syrup.

To determine the percent of sugar, note that

40 g - 100%,

8 g - x%,

then

\dfrac{40}{8}=\dfrac{100}{x},\\\\40x=8\cdot 100,\\ \\40x=800,\\ \\x=20\%.

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\begin{array}{ccll} miles&hours\\ \cline{1-2} \frac{9}{2}&\frac{5}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{9}{2}~~}{x}=\cfrac{~~ \frac{5}{4}~~}{1}\implies \cfrac{~~ \frac{9}{2}~~}{\frac{x}{1}}=\cfrac{5}{4}\implies \cfrac{9}{2}\cdot \cfrac{1}{x}=\cfrac{5}{4} \\\\\\ \cfrac{9}{2x}=\cfrac{5}{4}\implies 36=10x\implies \cfrac{36}{10}=x\implies \cfrac{18}{5}=x\implies 3\frac{3}{5}=x

7 0
2 years ago
Name two points that are reflections of each other across the y-axis.
zheka24 [161]

Answer:

(1,1), (-1,1)

Step-by-step explanation:

To reflect a point over the x-axis, simply make its x-value negative. So, we can take the sample point of (1,1), make its x-value negative, and get (-1,1).

5 0
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Alenkasestr [34]

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Step-by-step explanation:

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Given:

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To find:

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Solution:

We know that,

Inverse tangent of the ratio \dfrac{3}{1} = \tan^{-1}\dfrac{3}{1}

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Using scientific or graphing calculator, we get

Inverse tangent of the ratio \dfrac{3}{1} = 71.565^\circ

Round to the nearest degree

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Answer:

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solved by graphing

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