Answer:
4m - 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
9m - (5m + 2)
<u>Step 2: Simplify</u>
- Distribute negative: 9m - 5m - 2
- Combine like terms: 4m - 2
The value of the coin times the number of coins all added up equals the total value of the piggy bank
so
0.05n + 0.10d = 5.60
then they have given us "number of nickels is 8 less than 3 times the dimes"
this translates to
n = 3d - 8
we plug this into our first equation and we get
0.05(3d - 8) + 0.10d = 5.60
now we solve for d
first we can distribute the 0.05
0.15d - 0.40 + 0.10d = 5.60
then we can add the 0.15d and 0.10d together
and get
0.25d - 0.40 = 5.60
then we can add 0.40 to both sides
0.25d = 6.00
then divide both sides by 0.25
d = 6.00 / 0.25 = 24
so we have 24 dimes
then to find nickels, we plug in 24 for d into
n = 3d - 8
and get
n = 3(24) - 8
n = 72 - 8
n = 64
therefore we have
64 nickels
and
24 dimes
Answer:
4
Step-by-step explanation:
Since the first quartile is at 25%, 25% of 20 is 5. The median is the 50% mark of the set, and 50% of 20 is 10. So, there are 4 numbers between the 5th data point and the 10th, which are the 6th,7th,8th, and 9th data points.
Answer:
C. y = 3x - 2
Step-by-step explanation:
Since the y intercept is negative, it is seen in this equation that the b value (the y intercept) is also negative. Since the slope is increasing upward, we know that the slope is greater than 1 and is going upward, and it matches with the equation since it matches with both of the requirements.
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For any questions or more information, please comment below and I'll respond as soon as possible.
This is a tricky question, all you need to know is that the remainder cannot be a negative number.
So, -50 mod 7 = 6, since -50 /7 = 8 with remainder of 6
