Answer:
3 more students need to sign up
Step-by-step explanation:
Let the equal number of students in 9 teams be x.
Total number of signed up students = 690.
Let t be the required number of students to be signed.
Therefore, 9x = 690+t.
This means, 690+t is a multiple of 9.
The least value of t to make 690+t, a multiple of 9 is 3 and hence,
= 77
Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.
Answer: 0.87400mg of caffeine.
Step-by-step explanation:
You have
N(t)=N0(e^−rt)(1)
as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,
N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)
Taking the last 2 parts of (2) to the power of 0.1t gives
e^−rt=0.2601^.1t . .(3)
This means that
N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)
Also,
N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1
= 0.87400mg of caffeine.
Tomas used incorrectly the rule of signs, the expression should be simplified as follows:
-2.6 + (-5.4)
-2.6 -5.4 = 8
<h3>
</h3><h3>
What mistake did Tomas likely make?</h3>
Here Tomas wants to perform an addition between two numbers:
-2.6 + (-5.4)
And the outcome that Tomas gets is:
-2.6 + (-5.4) = 2.8
Here his mistake seems to bee that he thought the second number was a positive number, and he solved the operation:
-2.6 + 5.4
So, he used wrong the rule of signs.
Remember that the rule of signs says that:
(-)*(+) = (+)*(-) = (-)
Using that, we can rewrite the original expression:
-2.6 + (-5.4)
to:
-2.6 - 5.4
Solving that, we get:
-2.6 - 5.4 = -8
Which is the outcome that Tomas would have gotten if he had used correctly the rule of signs.
If you want to learn more about the rule of signs:
brainly.com/question/13333620
#SPJ1
Answer:
35 pounds of $8.00 tea and 15 pounds of $6.00 tea
Step-by-step explanation:
Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,
8x + 6(50 -x) = 50 * 7.4
simplify,
8x + 300 - 6x = 370
2x + 300 = 370
and solve.
2x = 70
x = 35
This means there is 35 pounds of the $8 kind.
We can subtract that from 50 to find,
50 - 35 = 15,
15 pounds is the amount of the $6 kind.
