A cell with 2cm sides has a surface area of 6 × a2 or <span> a</span>2<span> + a</span>2<span> + a</span>2<span> + a</span>2<span> + a</span>2<span> + a</span><span>2
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Answer:
Fourth choice, 16
Step-by-step explanation:
The 2 angles are both 74 degrees, so the side that is facing each angle will be the same length, so:
9x - 73 = 3x + 23
add 73 to both sides
9x = 3x + 96
subtract 3x from both sides
6x = 96
divide by 6
x = 16
Answer:
Step-by-step explanation:
Division of liked variables
Answer:

Step-by-step explanation:

The answer is 5 large, 25 medium, 70 small dogs.
x - the number of large dogs
y - the number of medium dogs
z - the number of small dogs
<span>There are 100 dogs at Pampered Paws Kennel:
</span>x + y + z = 100
<span>Each day, the dogs eat 100 lb of food. Large dogs eat 3 lb, medium dogs eat 2 lb, and small dogs eat 0.5 lb:
3x + 2y + 0.5z = 100
</span><span>There are five times as many medium dogs as large ones:
x = 5y
</span>x + y + z = 100
3x + 2y + 0.5z = 100
y = 5x
____
Substitute y in the first two equations:
x + 5y + z = 100
3x + 2*5x + 0.5z = 100
___
6x + z = 100
13x + 0.5z = 100
____
z = 100 - 6x
13x + 0.5z = 100
____
13x + 0.5(100 - 6x) = 100
13x + 50 - 3x = 100
13x - 3x = 100 - 50
10x = 50
x = 50/10 = 5
y = 5x = 5 * 5 = 25
x + y + z = 100
5 + 25 + z = 100
30 + z = 100
z = 100 - 30
z = 70