Answer:

Step-by-step explanation:
Given the equation;

Rearranging the equation, we have;

Lowest common multiple (LCM) of S and T is ST.

Cross-multiplying, we have;

Making R, the subject of formula;

Answer:
75-33=42
Step-by-step explanation:
total (75) minus what she already owns (33) leaves you with how much she still needs since they're each a dollar
<h3>
Answer: 1/25</h3>
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Work Shown:
A = event of landing on a number greater than 8
P(A) = 1/5
We have 1 number that is greater than 8 (which is the space "9") out of 5 total
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B = event of landing on a divisor of 81
B = event of landing on 9, since 9 is a divisor of 81 (no other numbers listed are a divisor of 81)
P(B) = 1/5 for identical reasoning as above
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P(A and B) = P(A)*P(B)
P(A and B) = (1/5)*(1/5)
P(A and B) = 1/25
Step-by-step explanation:


Substituting y in the first equation

At x = 1.17

At x = -1.17

The intersection points are (1.17, 5.85k) and (-1.17, -5.85k)
The graph would intersect regardless of what value k is.
Answer:
The jumbo box can hold 17,550 toothpicks
Step-by-step explanation:
The volume of the box can be calculated multiplying all of its three dimensions.
If each dimension of the box is tripled, the new volume will be 3*3*3 times higher, so it will be 27 times higher the old volume.
If in the old volume there are 650 toothpicks, the new volume can have 27 times more, so the number of toothpicks the new box can hold is:
27 * 650 = 17550
The jumbo box can hold 17,550 toothpicks.