Answer:

Step-by-step explanation:
we would like to solve the following equation for x:

to do so isolate
to right hand side and change its sign which yields:

simplify Substraction:

get rid of only x:

simplify addition of the left hand side:

divide both sides by q+p Which yields:

cross multiplication:

distribute:

isolate -pq to the left hand side and change its sign:

rearrange it to standard form:

now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so
factor out x:

factor out q:

group:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:

cancel out p from the first equation and q from the second equation which yields:

and we are done!
12 for the first one, 6*4=24 24 divided by 2
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anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours
all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity
percent means parts out of 100 so x%=x/100
so we have
School
Eating
Sleep
Homework
Free Time
School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours
Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours
Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours
Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours
Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours
Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours
Answer:
78.5 m²
Step-by-step explanation:
The formula to find the area of a quarter of a circle:
, where
is the radius (diameter ÷ 2) and the
is alterable.
1) Substitute the given values into the formula.
= 
2) Solve it.
= 
= 78.5
3) Round it off to the nearest tenth. In this case, it has already been rounded off.
Answer:
G = 
Step-by-step explanation:
C = 1/2gk
First you want to multiple both sides by 2 to get rid of that fraction and you get
C (2) = gk then you divide both sides by k to isolate the g and your left with
G= 
Hope this helps