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sesenic [268]
2 years ago
7

Write your answer as a fraction or as a whole or mixed number. 27pts

Mathematics
1 answer:
statuscvo [17]2 years ago
4 0

<u>What we know</u>:

  • Bird feeder capacity:             -->  2 4/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<em>Lets first convert the mixed partial fraction --> improper fraction</em>

<em>        --> for easier calculation</em>

<em />

<u>After Conversion:</u>

  • Bird feeder capacity:             -->  14/5 cups
  • Samantha's scoop capacity: -->  7/10 cups

<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

<u>Solve:</u>

  Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>

<u></u>

<u>Answer: 4</u>

<u></u>

Hope that helps!

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Solve 240 = 6z + c for 'c'.<br><br> show steps please
Lunna [17]

There are two ways to find or determine for the value of c. In the first method, we can use addition and subtraction to isolate the variable c from the other variables. In the second method, we can use the transposition of variables to isolate the variable c from the other variables.

So solving for the value of c:

 

<span>Using 1st method: Addition and Subtraction</span>

We are given:

240 = 6 z + c

Simply subtract 6 z on both sides:

240 – 6 z = 6 z + c – 6 z

Cancelling 6 z – 6 z on the right side:

240 – 6 z = c

or

c = 240 – 6 z

 

<span>Using the 2nd method: Transposition</span>

240 = 6 z + c

What we are going to do here is to simply transpose the variable 6 z from the right side to the left side of the equation so that we are left with c alone on the right side. Always remember that when we transpose, the symbol becomes opposite. That is:

240 + (- 6 z) = c

240 – 6 z = c

or

<span>c = 240 – 6 z</span>

6 0
3 years ago
A regular hexagonal prism has an edge length 12 cm, and height 10 cm. Identify the volume of the prism to the nearest tenth.
Alexeev081 [22]

Check the picture below.

so the volume will simply be the area of the hexagonal face times the height.

\textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\stackrel{\qquad degrees}{\cot\left( \frac{180}{n} \right)}~~ \begin{cases} n=\stackrel{number~of}{sides}\\ s=\stackrel{length~of}{side}\\[-0.5em] \hrulefill\\ n=6\\ s=12 \end{cases}\implies A=\cfrac{1}{4}(6)(12)^2\cot\left( \frac{180}{6} \right) \\\\\\ A=216\cot(30^o)\implies A=216\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the hexagon}}{(216\sqrt{3})}~~\stackrel{height}{(10)}\implies 2160\sqrt{3}~~\approx ~~3741.2~cm^3

6 0
2 years ago
You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance
WITCHER [35]



$72.31  is the total amount AFTER ADDING TWO DEPOSITS

So, if we want to know the amount before deposits, we just need to take the total of previous two deposits

The expressions that show your balance would be

$72.31 – $17.92 – $15.33;    $39.06
6 0
3 years ago
Help plz due today i dont want to fail!
4vir4ik [10]
I believe it’s 1/2 hope it helps
4 0
3 years ago
Cost of a dozen eggs depends on the size of the eggs. what is the dependent variable?
sineoko [7]
the cost of the eggs
cost (x) = x*price
this is an example of a proportional cost relation with the size been x 
4 0
3 years ago
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