Answer:
- 3.6 pounds of granola and 5.4 pounds of nuts
Step-by-step explanation:
Let the required granola be x pounds, then amount of nuts is 9 - x.
<u>The price of the mixture is as below equation:</u>
- 6.5x + 9(9 - x) = 8*9
- 6.5x + 81 - 9x = 72
- 81 - 2.5x = 72
- 2.5x = 81 - 72
- 2.5x = 9
- x = 9/2.5
- x = 3.6
<u>Find the amount of nuts:</u>
Answer: multiply 4 1/4 by 5 then see if you have enough .
Step-by-step explanation: multiply 4 1/4 by 5 because you have used 1 herb already so if you do that you could have enough in there to pot 5 .
Just plug in 500 for p, 0.2 for r (because 20% is equivalent to 0.20), and 2 for t:
So, if you start with $500 and charge an interest rate of 20% for 2 years, you will gain $200 to get $700 in total.
Answer:the 57th term is 78
Step-by-step explanation:
The sequence is an arithmetic sequence. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 6
d =3/2
n = 57
We want to determine the value if the 57th term, T57. Therefore,
T57 = - 6 + (57 - 1) ×3/2
T57 = - 6 + 56 × 3/2 = - 6 + 84
T57 = 78
First, find the slope of the initial line;
m=(y₁-y₂)/(x₁-x₂)
m=(4-0)/(11-8)
m=4/3
If two lines are parallel, the slope is the same although the intercept can differ.
If this parallel lines passes through the point (4, 5);
y=(4/3)x+c <-- plug in coordinates to solve for c
5=(4/3)(4)+c
(15/3)=16/3+c
(15/3)-(16/3)=c
-1/3=c
Therefore, the final equation should be y=4/3x-1/3
Hope I Helped :)
