Answer:
60 ≥ T ≥ 52
Step-by-step explanation:
The temperature will never be more than 60°, but no less than 52°. So we would use the "more than or equal to" symbol (≥) on the left of T to show that the temperature (T) will be less than or at 60°. And we use the "less than or equal to" (≤) on the right of T to show that the temperature (T) will be more than or at 52°. Hope this helps! Feel free to ask any questions!
9514 1404 393
Answer:
a) $395,375 taken in
b) $305,625 more needed
c) 1627 tickets
Step-by-step explanation:
a) For the rates and quantities given, the total revenue is ...
$525 × 126 +$325 × 348 +$175 × 1235 = $66,150 +113,100 +216,125
= $395,375
__
b) To take in $700,000 revenue must be increased by ...
$700,000 -395,375 = $304,625
__
c) The number of C tickets required to obtain a revenue of $284,725 is ...
$284,725/($175/ticket) = 1627 tickets
Answer:
80°
Step-by-step explanation:
Inscribed angle QRP is half the measure of intercepted arc QP, so is ...
∠R = 90°/2 = 45°
The sum of angles in a triangle is 180°, so angle P is ...
∠P = 180° -55° -45°
∠P = 80°
Answer:
21
Step-by-step explanation:
In order to form a chord you need to:
- Select one point. You have 7 choices
- Select a another point. You have just 6 choices because you have to dicard the point alredy chosen
- Connect the two points with a chorde
Since we have 7 choices for the first point and 6 for the second one, one might think that there are a total of 7*6 = 42 choices.
However the correct answer is 21, because you have to take into the account that selecting the point A first and selecting the point B on second step is the same than selecting the point B first and then the point A, because the chord is the same.
Therefore we are counting each chord twice, and we have to divide the result by 2, obtaining 7*6 / 2 = 21.
You can also calculate the amount by using the combiatorial number. The total amount of possibilities to select k elements from a set of n, with n higher than or equal to k and both positive, without taking into account the order is the combinatorial number of n with k, given by
In this case, in order to form a chord we need to select 2 points of the seven we are given, ignoring order, thus the total amount of possibilities is
As we calculated before.
Answer:
= 14q
Step-by-step explanation:
21q - 7q
= 14q
(3q - p) (7)
= 21q - 7q
= 14q