Answer: D. n + q = 20
5n + 25q = 300
Let n indicate the total number of nickels you own.
Let q signify the quarters you possess.
Given that you have 20 coins, this leads to the equation n + q = 20.
The overall value of the coins equals $3. Since a quarter is worth $0.25 and a nickel is valued at $0.05, the following equation results:
0.05n + 0.25q = 3.
After multiplying both sides by 100, you get 5n + 25q = 300.
The right choice is D. n + q = 20
5n + 25q = 300
Answer:
m∠EBC=34°
Step-by-step explanation:
We establish that
m∠DBC=m∠DBE+m∠EBC
Refer to the accompanying diagram for clarity on the issue
Replace the known values in the equation and determine x
Calculate the size of angle EBC
m∠EBC=(3x+13)°
Insert the value for x
m∠EBC=(3(7)+13)°
m∠EBC=(21+13)°
m∠EBC=34°
Answer:
Step-by-step explanation:
For resolution, the Euclidean division is necessary:
- The polynomial is expressed as 16-2x³-6x²+x+9=-2x³-6x²+x+9
- We will divide this by: 4+3x-2=3x+2 and analyze the remainder
A visual representation of the process is provided
- The remainder is 47/9, hence the value to subtract is 47/9
Honestly, I find Mrs. Garcia's method easier to perform mentally. It hinges on how familiar you are with your multiples of 5. (5*15 = 75 is a multiplication I often use)
Melissa's approach involves calculating 5*20 = 100 and 5*9 = 45, then combines the 3-digit result 100 with the 2-digit result 45, yielding 145. Adding 45 to 00 is simple and doesn’t require carrying digits, thus the arithmetic is fairly straightforward.
Mrs. Garcia's technique involves computing 5*14 = 70 and 5*15 = 75, then summing these two-digit results. Many people may not readily recall that 5*15=75, which complicates forming that product. The addition of 70 and 75 requires a carrying operation, making the math somewhat more complex. The resulting total is 145.
(The rationale behind my preference for Mrs. Garcia's method is that I can achieve the final sum by simply doubling 7 tens, followed by adding 5. The only 3-digit number to remember mentally is the ultimate total.)
_____Subtraction introduces a slight complication, yet reshaping it as $5(30 -1) = $150 - 5 = $145 is possible.
Or, you may reframe it as $5(28 +1) = $140 +5 = $145.
Dividing an even number by 2 to find the product of 5 is straightforward when you append a zero.
5*14 = 10*7 = 70
5*28 = 10*14 = 140.
