4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Answer:
20
Step-by-step explanation:
170/8.5
Answer:
- <u><em>A. 6,000 miligrams</em></u>
Explanation:
A <em>balance scale</em> is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the <em>6-gram weight</em>, placed by Henry on one side of the balance scale is equal to the weight of the <em>ballet slipper </em>placed on the other side.
- Weight of the balance slipper = weight of the 6-gram weight
- Weight of the balance slipper = 6 grams
<u>Conversion of units: </u>
- 6 grams × 1,000miligrams/1gram = 6,000 miligrams
- Weight of the balance slipper = 6,000 miligrams
That is the option A.
Step-by-step explanation:
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Square roots are the result of multiplying the number by itself for example take 5x5 = 25 that’s a result of a number when multiplying by itself.
