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Sunny_sXe [5.5K]
3 years ago
5

The table below shows the combination of dry pre-packaged mix and water to make concrete. The mix says for every 1 gallon of wat

er is equal to 8lbs. Using the information provided in the table, complete the remaining parts of the table.
Fill in the table with the lowest terms fractions.

To enter a mixed number, write it in the format 5 1/2. Note that there is a space between the whole number and fraction.

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Dry Mix | Water | Total

   64      |     8     |     ?

   75      |     10    |     ?

             |             |     ?

 4 1/2    |  14/25  |     ?

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Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.
Andrews [41]

Answer:

\frac{17}{30}

Step-by-step explanation:

→ Substitute in the numbers

1\frac{2}{5} -\frac{5}{6}

→ Simplify

1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}

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A rectangular prism measures 2 2/5 inches by 3 1/5 inches by 2 inches.
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Can anyone help me by just saying <br> number 1,2,3,4,5 you have to show work
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3 years ago
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

5 0
3 years ago
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