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nekit [7.7K]
4 years ago
6

3. Convert 5.2 gallons to cups

Mathematics
1 answer:
vazorg [7]4 years ago
6 0

set up a ratio problem

5.2 gal = 1 gal/16 cups

5.2 * 16 = 83.2 cups is 5.2 gallons

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Given: - 1/2 x > 6.
Masteriza [31]

Answer:

x  >   - 12

Step-by-step explanation:

-  \frac{1}{2} x > 6 \\  \frac{ -  \frac{1}{2} }{  - \frac{1}{2} } x >  \frac{6} {  - (\frac{ 1}{2} )}  \\ x  >  6 \times  -  \frac{2}{1}

Therefore:

x >  - 12

7 0
3 years ago
A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number
-BARSIC- [3]
<h2>Answer:</h2>

<em>x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.</em>

<h2>Explanation:</h2>

Here we have the function:

f(x) = -x^2 + 50x - 264

that models the profit in dollars, where x is the number of memberships sold. In order to get the zeros we'll use the quadratic formula:

\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ For: \\ \\ a=-1,\:b=50,\:c=-264:\quad x_{1,\:2}=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-264\right)}}{2\left(-1\right)} \\ \\ \\ x_{1}=\frac{-50+\sqrt{50^2-4\left(-1\right)\left(-264\right)}}{2\left(-1\right)}=\frac{-50+\sqrt{50^2-4\cdot \:1\cdot \:264}}{-2\cdot \:1}=\frac{-50+\sqrt{1444}}{-2\cdot \:1}=6 \\ \\ \\

x_{2}=\frac{-50-\sqrt{50^2-4\left(-1\right)\left(-264\right)}}{2\left(-1\right)}=\frac{-50-\sqrt{50^2-4\cdot \:1\cdot \:264}}{-2\cdot \:1}=\frac{-50-\sqrt{1444}}{-2}=44

So the zeros are:

x=6 \\ \\ x=44

The zeros occurs when f(x)=0, so we can conclude that at those points there is no any profit.

In conclusion:

<em>x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.</em>

7 0
4 years ago
Read 2 more answers
The interior angles of a triangle have measures k°, 27°, and 10°.<br><br> What is the value of k?
NikAS [45]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~

Assuming that the sum of all the angles must equal 180°

180 - (27+10) = k

180 - 37 = k

k = 143°

6 0
3 years ago
How can I split five brownies between three people
Bogdan [553]
Each person will get a full brownie leaving you left over with 2 full brownies. You can cut both of the remaining brownies into 3rds giving you 6 pieces. Each person can then get 2 prices. This is 1 and 2/3 brownies per person
8 0
4 years ago
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Answer quick pls this is timed what is 4.06 as a mixed number will mark brainliest to first person
LekaFEV [45]

4.06 as a mixed number is 4610

7 0
4 years ago
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