Answer: a. 20
b.
c. 9
Step-by-step explanation:
Given : The band director insists that there are to be 5 more trumpet players than drummers at all times. (1)
a.The high school marching band has 15 drummers this year.
Then, the number of trumpet players in the marching band this year will be :-
The marching band has 20 trumpet player this year.
b. Let the number of trumpet players is denoted by T and the number of drummers is denoted by D.
Then, according to statement (1), we have
(2)
Expression that describes the relationship of the number of trumpet players (T) and the number of drummers (D) :
c. If T= 14, then substitute it in (2), we get
Subtract 5 from both sides , we get
Hence, the band director want 9 drummers in the band .
Answer: It's 2.) 4 is the answer
A withdrawal from an account means taking money out of your account. That means whatever money you have in there becomes a smaller amount because you're subtracting money from the account.
So, to work out how much money Jan withdrew as a negative sum, you just have to look at how much she took out:
-25 - 45 - 75 = -$145
This means Jan took out $145 from her account, and we write it with a negative sign because it's money that's going to be taken away from whatever's in there.
The same thing applies to Julie:
-35 - 55 - 65 = -$155
Julie took out $155 from her account, so her withdrawals were -$155.
Therefore, your final answer for 24a. is -$145 and your answer for 24b. is -$155.
Answer:
<u>10 + 3π cm</u>
Step-by-step explanation:
In the given figure,
- Radius of arc/circle = 6 cm
- Length + width of rectangle = 8 cm
Here, we are asked to find the perimeter of the shaded figure, i.e, SA + AC + CT + Arc SBT.
The perimeter of arc SBT can be found using the formula 2πr/4 [Given ⟶ arc SBT = quarter (¼) of a circle].
So,
2πr/4
= 2π(6)/4
= 12π/4
= <u>3π cm</u>
Now, from the figure..
SA + AC + CT
= (SR - AR) + AC + (RT - RC)
By, rearranging the terms...
= SR + AC + RT - (AR + RC) ---------> (1)
Again, from the figure, we can see that,
- SR = RT = 6 cm (radii of the same circle)
- AC = RB = 6 cm (radii of the same circle)
- AR + RC = 8 cm (length + width of rectangle)
So, by substituting these values in (1)
SR + AC + RT - (AR + RC)
= 6 + 6 + 6 - (8)
= 18 - 8
= <u>10 cm</u>
And, the perimeter of the shade figure is,
SA + AC + CT + Arc SBT.
_________
Hope it helps!