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2 years ago

The double number lines show the ratio of cups to gallons. How many cups are in 3 gallons?

Mathematics

1 answer:

Oksanka [162]2 years ago

4 0

Answer:

48 cups

Step-by-step explanation:

There are 16 cups in a gallon.

16 x 3 = 48

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Sindrei [870]

divide the space between one and zero into five and put it on the section closest to one but not on it

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S=a1/1-r

valentinak56 [21]

Answer:

Step-by-step explanation:

This is an infinite geometric series. This has a sum of $\frac{a}{1-r}$

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

First term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{1-1}\\=3(\frac{1}{4})^0\\=3(1)\\=3$

Second term:

$3(\frac{1}{4})^{n-1}\\=3(\frac{1}{4})^{2-1}\\=3(\frac{1}{4})^1\\=3(\frac{1}{4})\\=\frac{3}{4}$

Let's see the common ratio: $\frac{\frac{3}{4}}{3}\\=\frac{3}{4}*\frac{1}{3}\\=\frac{1}{4}$

Thus we have a = 3 and r = 1/4. Plugging into the formula of the infinite sum, we get:

$s=\frac{a}{1-4}=\frac{3}{1-\frac{1}{4}}=\frac{3}{\frac{3}{4}}=3*\frac{4}{3}=4$

So, the answer is 4

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2 years ago

What 3/4 divided by 9

charle [14.2K]

Answer:

I got 1/12 or 0.083....

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2 years ago

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

inessss [21]

Answer:

(a). y = 3x - 11 ; (b). y = $-\frac{1}{3}$ x - 1

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

(a). Equation of ║ line is

y + 2 = 3(x - 3)

y = 3x - 11

(b). Slope of perpendicular line is $-\frac{1}{3}$

y + 2 = $-\frac{1}{3}$ (x - 3)

y =  $-\frac{1}{3}$  x - 1

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omeli [17]

-4 < -12 and 9 > -35

Hope this helps!

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