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Ratling [72]
3 years ago
7

Determine the number of ice cubes in 32 glasses at a rate of 20 ice cubes in 5 glasses.

Mathematics
2 answers:
vova2212 [387]3 years ago
5 0
What We know
20 Ice cubes in every 5 glasses
20:5
Solution
20 / 5 = 4
5 / 5 = 1
4 ice cubes for every 1 glass
1 x 32 = 32
4 x 32 = 128
ANSWER: 128 ice cubes in every 32 glasses
vodka [1.7K]3 years ago
5 0

Answer:

The answer is 128 ice cubes.

Step-by-step explanation:

In order to determine the answer, we have to know about rates.

A rate is just a fraction that describes the relation between two measures.

In this case, we have the measure "ice cubes" and the measure "glasses".

The rate is :

\frac{icecubes}{glasses}=\frac{20}{5}

Then, we always have to fulfil this rate. So, for 32 glasses, we need:

x=amount of ice cubes

\frac{x}{32}=\frac{20}{5}  \\\\x=\frac{20*32}{5} \\\\x=128

Finally, there are 128 ice cubes for 32 glasses.

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3 years ago
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M is the midpoint of AN, A has coordinates
maksim [4K]

Step-by-step explanation:

According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).

<u>Figure</u><u> </u><u>:</u><u>-</u>

\setlength{\unitlength}{1 cm}\begin{picture}(20,12) \put(4,0.2){\line(0,-1){0.4}}\put(1,0){\line(1,0){6}} \put(3.8,-0.6){$\bf M(-4,-1) $} \put(1,-0.6){$\bf A (-7,4)$}   \put(6.8,-0.6){$\bf N(x,y)$} \end{picture}

Let the coordinates of N be ( x , y )

Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,

\boxed{\blue{ \bf Midpoint =\bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) }}

<u>On</u><u> </u><u>using</u><u> </u><u>this</u><u> </u><u>formula</u><u> </u><u>,</u><u> </u>

=> Midpoint = \bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg)  \\ \\ => (-4, 1) = \bigg( \dfrac{x -7 }{2} , \dfrac{y + 4 }{2}\bigg) \\ \\ => -4 = \dfrac{x-7}{2} \\\\ => x - 7 = -8 \\\\ => x = 7 -8 \\\\ \boxed{\red{\sf=> x = -1 }} \\\\ => \dfrac{y+4}{2}=-1 \\\\=> y +4 = -2 \\ \\ y = -4-2 \\\\\boxed{\red{\sf=> y = -6 }}

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3 years ago
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Solution :

The monthly average salary and the standard deviation of the salaries of five different countries are provided. A person is interested in the relationship between the job performance, job satisfaction and the job compensation of the five different countries and try to compare them.

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