Answer:
(2x + 1)(x + 5)
Step-by-step explanation:
2x² + 11x + 5 =
= 2x² + 10x + x + 5
= 2x(x + 5) + (x + 5)
= (2x + 1)(x + 5)
Answer:
<u>x = 6</u>
Step-by-step explanation:
Taking the sides in proportion :
- EB/DC = AB/AC
- 8/24 = -3 + 2x/27
- 1/3 = -3 + 2x/27
- 3(-3 + 2x) = 27
- -9 + 6x = 27
- 6x = 36
- <u>x = 6</u>
answer:
y = 10 - x²
step-by-step explanation:
the y value is means the y value is equal to meaning the first part of our equation is y =
10 decreased means 10 minus so the next part of our equation is y = 10 -
the square of the x value means x squared so the last part of our equation is y = 10 - x²
Answer:
There are 42 quarters (and 6 dimes).
Step-by-step explanation:
The given ratio is 2:14. But this does not tell us how many dimes nor how many quarters we have. Instead, it's a ratio. Modify this by multiplying numerator and denominator by n and then find n:
Number of dimes 2n
----------------------------- = -----
Number of quarters 14n
Then the total number of coins is 2n + 14n =48, implying that:
16n = 48, or n = 3.
Then the number of dimes is 2(n) = 2(3) = 6, and that of quarters is 14(n) =
14(3) = 42.
There are 42 quarters (and 6 dimes). Notice how the total of 42 and 6 is 48.
Answer:
Tara's current expression finds how much the school will be keeping. 50 x 2/5 (also written as 50 x 0.4) totals out as 20. $20 is 2/5 of $50. The expression that Tara SHOULD have written to find how much goes to the candle company would be 50 x 3/5 (also written as 50 x 0.6), as this adds up to 30. $30 is 3/5 of $50.
Step-by-step explanation:
50/5 = 10 which means that 1/5 of 50 = 10.
2/5 of 50 ($20) is kept by the school. This is what Tara's expression finds. This means that $30 is sent to the candle company, and can be found with the expression 50 x 3/5.
The decimals are created by dividing the numerator of the fraction by the denominator (I find it easier to do math with decimals).