We know that
<span>15% of college students own a television
</span><span>10% of college students own a stereo
then
</span><span>the percentage of college students that own either a television or stereo is
(15%+10%)=25%
the answer is
25%</span>
Here's my step-by-step explanation:
Whenever you see the phrase "a number" in a problem like this, then they want you to use a variable. Let's use <em>n</em> for number and translate from English to Algebraic.
- The product of 2 more than a number and 10 is 36 more than 8 times the number.
- The product of 2 more than <em>n</em> and 10 is 36 more than 8 times <em>n.</em>
<em>- </em>The product of 2 + <em>n</em> and 10 is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) is 36 + 8<em>n.</em>
<em>- </em>(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
Let's solve.
(2 + <em>n</em>)(10) = 36 + 8<em>n</em>
20 + 10<em>n</em> = 36 + 8<em>n</em>
10<em>n</em> - 8<em>n</em> = 36 - 20
2<em>n</em> = 16
<em>n</em> = 8
Hope this helps, let me know if I made a mistake or if you have any questions!
Answer:
Kilogram of chicken = 1
Kilogram of tilapia = 3
Step-by-step explanation:
Cost of chicken = 150 per kilo
Cost of tilapia = 100 per kilo
Number of kilos of each if total cost should not exceed 450
Let :
Number of kilo of chicken = x
Number of tilapia kilo = y
The constraint :
150x + 100y ≤ 450
We could choose some reasonable values of x and y then, test the constraint ;
If x = 1 and y = 3
150(1) + 100(3) = 450
Hence,
1 kilo of chicken with 3 kilos of tilapia offers the greatest combination of Number of kilograms of tilapia and chicken that could be purchased and still satisfy the maximum cost constraint.
Answer:
According to the diagram, is the polar angle (the "vertical" angle made with the positive z-axis) and is the azimuthal angle (the "horizontal" angle made with the positive x-axis), so the convention used here is to take
Then for the spherical point (1, π/4, π/2), we have the corresponding Cartesian point (x, y, z), where
Step-by-step explanation:
