Answer:
Step-by-step explanation:
The greatest common factor of 24 and 30 is 6. The divisors of 6 are 1, 2, 3, and 6. Those are the numbers of identical necklaces that might be made from the beads. The number of beads of each color is found by dividing the total number of beads by the number of necklaces being made.
The possible numbers of necklaces are 1, 2, 3 or 6.
The numbers of (blue, green) beads on each will be (24, 30), (12, 15), (8, 10), or (4, 5), respectively.
_____
The greatest common factor (GCF) is the product of the common prime factors.
24 = 2^3×3
30 = 2×3×5
The prime factors in common are 2 and 3, so the GCF is 2×3 = 6.
Answer:
x < 0 or x > 3
Step-by-step explanation:
First, we'll solve 5x - 11 < -11.
5x < 0 so x < 0.
As for 4x + 2 > 14, 4x > 12 which means x > 3.
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 109
<
5) 0.024
24 x 10-2
6) 2,800
2.8 x 103
7) 100
1 x 103
8) 0.0000099
9.9 x 10-6
9) 900,000
9 x 10-5
10) 0.00633
63.3 x 10-3
Answer:
Step-by-step explanation:
1. 7.645 x 10^7
2. 3.27 x 10^-4
3. 3.4 x 10^4
4. 1.16 x 10^11
5. 2.4 x 10^-2
6. 2.8 x 10^3
8. 9.9 x 10^-6
9. 9 x 10^5
10. 6.33 x 10^-3
7. 1 x 10^2
The listed conversions between standard and scientific notation are mostly correct, with corrections provided for the representations of 900,000 and 100. Scientific notation involves expressing numbers as a decimal between 1 and 10 multiplied by a power of 10.
The conversions between standard notation and scientific notation provided here mostly appear to be correct, however, there are a few errors:
9) 900,000 in scientific notation would be 9 x 105, not 9 x 10-5.
7) 100 in scientific notation would be 1 x 102, not 1 x 103.
Standard notation is a straightforward representation of numbers. Scientific notation, on the other hand, is a method of writing or displaying numbers in terms of a decimal number between 1 and 10, multiplied by a power of 10.
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Answer:
y=2x+4
Step-by-step explanation:
the y-intercept is the y value of the point given. in the slope form, 2 would be your m
how much do you spend?
y= rate • + constant
Answer:
y = 25($1) + $10
y = 25 + 10
y = $35
Step-by-step explanation: