Answer:
BL = 2
Step-by-step explanation:
Given:
AL = 3
AC = 10
BC = 9
AL = AM = 3 (tangents drawn form am external point)
CM = AC - AM
CM = 10 - 3
CM = 7
CM = CN = 7 (tangents drawn form am external point)
BN = BC - CN
BN = 9 - 7
BN = 2
BN = BL = 2 (tangents drawn form am external point).
BL = 2
Answer:
We will need about 3.3 gallons of red paint.
Step-by-step explanation:
Let
- w = amount of white paint
The amount of red paint is half the amount of white paint.
r = 1/2 w
w = 2r [1]
We need to make a total of 10 gallons. Then,
r + w = 10 [2]
Replacing [1] in [2]
r + (2r) = 10
3r = 10
r = 3.3
We will need about 3.3 gallons of red paint.
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%
You will start off with $175-$10=$165. Then you will take your $165 and divide by $15 to get the answer. $165÷$15=11 months to save the money.
Answer:
7/10 or 70%
Step-by-step explanation:
There has to be at least two T in each result of the simulation. This means you can also have 3 T's and 4 T's in the result.
These are the results that qualify as having at least two T's.
1. TTTT, 2. TTTT, 3. THTH, 4. HTTT, 5. TTTT, 7. HTHT, 9. THTH
That is 7 out of the 10 results which is 7/10 or 70%