Answer:
80,500%
Step-by-step explanation:
If I'm not mistaken I think this is the answer
The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.
<span>120 = 120(2 ^ 10a) + 60 </span>
<span>2 ^ -1 = 2 ^ 10a </span>
<span>a = -1/10 </span>
<span>The temperature of coffee 30 minutes after it was poured is: </span>
<span>F = 120 ( 2 ^ -30/10) + 60 </span>
<span>F = 120 * 1/ 8 + 60 </span>
<span>F = 15 + 60 </span>
<span>F = 75</span>
Answer:
Quarters = q = 200
Dimes = d = 756
Step-by-step explanation:
Let
Dimes = d
Quarter = q
Value of each Dime = 0.10
Value of each Quarter = 0.25
d + q = 956 (1)
0.1d + 0.25q = $125.60 (2)
From (1)
d = 956 - q
Substitute d = 956 - q into (2)
0.1d + 0.25q = $125.60
0.1(956 - q) + 0.25q = $125.60
95.6 - 0.1q + 0.25q = $125.60
- 0.1q + 0.25q = 125.60 - 95.6
0.15q = 30
Divide both sides by 0.15
q = 30 / 0.15
= 200
q = 200
Substitute q = 200 into (1)
d + q = 956
d + 200 = 956
d = 956 - 200
= 756
d = 756
Therefore,
Quarters = q = 200
Dimes = d = 756
Answer:
The answer is -4a + 22b
Step-by-step explanation:
12a + 26b -4b -16a
12a - 16a + 26b - 4b
-4a + 22b
Thus, The answer is -4a + 22b
<u>-TheUnknownScientist</u>
This is a system of equations, and I am assuming that you are being asked to solve it.
This is finding the point where these two lines intersect.
The key to solving these algebraically is finding one part in terms of another part and substituting.
We can solve this system by Gaussian elimination, first by multiplying the second equation in its entirety by 2, so that the x-terms will cancel.
We have

and

.
The last equation is rewritten as

.
Now, we cancel the x-terms.



We have our value for y, so we just plug this back into any of the original equations to get x.

Thus, the solution to the system of equations is the point

.