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erastova [34]
3 years ago
13

A recipe calls for 3/5 cup of sugar for every 2 1/3 teaspoons of vanilla. What is the unit rate in cups per teaspoon?

Mathematics
1 answer:
seropon [69]3 years ago
5 0

the unit rate is simply the units/units, namely cups/teaspoons.

let's firstly convert the mixed fraction to improper fraction.


\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\textit{sugar cups}}{\textit{vanilla spoons}}\qquad \qquad \cfrac{~~\frac{3}{5}~~}{\frac{7}{3}}\implies \cfrac{3}{5}\cdot \cfrac{3}{7}\implies \cfrac{9}{35}\implies 9\div 35\quad \approx \quad 0.257

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5 0
3 years ago
A line has a slope of -2/5. Generate the coordinates of two points that would lie on the same line
vovangra [49]

Answer:

Many solutions are possible. One example is (10,5) and (5,7).

Step-by-step explanation:

The slope is the distance between points represented as a ratio of vertical to horizontal distances. It is a difference or subtraction. To find two points work backwards. What two points have y values with a distance of -2?

5-7=-2

So the points are (x,5) and (x,7).

Now what x values have a distance of 5?

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So the points are (10,5) and (5,7).

5 0
3 years ago
Please do this ASAP!<br> No links !
Andreas93 [3]

Answer:

2100

Step-by-step explanation:

28.34 rounds to 30

We look at the 8 which is greater than 5 and rounds the 2 to 3

69.72 rounds to 70

We look at the 9 which is greater than 5 and rounds the 6 to 7

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Suppose that taxis in New York are driven an average of 60,000 miles per year with a standard deviation of 11,000 miles. Assume
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</span><span>The range of miles driven by the middle 95% can be found from the empirical rule that says: For a normal distribution, approximately 95% of the data points lie within the range plus and minus 2 standard deviations of the population mean. In this case the range is (60,000-22,000) to (60,000 + 22,000)</span>
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3 years ago
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