Answer: a = 8
Step-by-step explanation:
use the equation a^2 + b^2 = c^2
c = 17, b = 15
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 64
a = 8
Answer:
it has a lower mass/volume ratio
Step-by-step explanation:
Density is the ratio of mass to volume. An elevator will have the same volume, regardless of the number of people. The mass will increase with the number of people.
An elevator with 50 people in it will have a higher mass/volume ratio than an elevator with 3 people in it. Hence the latter is less dense.
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<em>Additional comment</em>
50 persons would require an industrial elevator of perhaps 10,000 pound load capacity. There might be safety issues with carrying that many people.
Answer:
x= -11;y= -19
Step-by-step explanation:
lets name y-2x=3 "A" ;
name 3x-2y=5 "B".
2A: 2y-4x=6
2A+B: (2y-4x)+(3x-2y)=6+5
2y-4x+3x-2y=11
-x=11
so x= -11
so A is : y-2 (-11)=3
y+22=3
so
y= -19
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
