3 to 9 clouds are smiley faces Explaintion- hope it’s right
Answer:
A costs #711.5385
B costs #553.0769
Step-by-step explanation:
Let cost of powder A be x and powder B be y
When he’s given refund, equation can be written as
6x=1740+3y
6x-3y=1740 eqn 1
2x-y=870 making y the subject of the formula
Y=2x-870
Also, from the initial shopping
3x+5y=4900 eqn 2
Substituting the formula of y into eqn 2 we obtain
3x+5(2x-870)=4900
3x+10x-4350=4900
13x=4900+4350=9250
X=9250/13= 711.5385
Y=2x-870=2(711.5385)-870= 553.0769
Answer: The required number of different possible committees is 81172.
Step-by-step explanation: Given that a department contains 9 men and 15 women.
We are to find the number of different committees of 6 members that are possible if the committee must have strictly more women than men.
Since we need committees of 6 members, so the possible combinations are
(4 women, 2 men), (5 women, 1 men) and (6 women).
Therefore, the number of different committees of 6 members is given by
Thus, the required number of different possible committees of 6 members is 81172.
<h3>
Answer:</h3>
- interior: 144°
- exterior: 36°
<h3>
Step-by-step explanation:</h3>
It may be easiest to remember that the sum of exterior angles of any convex polygon is always 360°.
Your decagon has a sum of exterior angles that is 360°. Since it is a regular 10-sided polygon, each one is 1/10 that value: 36°.
The measure of each exterior angle is 36°.
The measure of an interior angle is the supplement of the exterior angle. Each interior angle of the regular 10-sided polygon will be ...
... 180° -36° = 144°
The measure of each interior angle is 144°.
_____
A formula often used for the sum of the measures of the interior angles is ...
... interior angle total = (n -2)×180°
For a 10-sided figure, the interior angle total is ...
... (10 -2)×180° = 1440°
When this sum is divided into 10 equal angles, the measure of one interior angle is ...
... 1440°/10 = 144° . . . . . agrees with the above computation
The exterior angle measure is the supplement of this:
... 180° -144° = 36° . . . . . exterior angle measure; agrees with the above computation
