Answer:
Betsy will save $121 in 5 weeks.
Step-by-step explanation:
We can see that Betsy's savings are 3 times the saving of her last week. We can see that this is an geometric sequence as 1,3,9,..
To find the sum of our geometric sequence we will use 
, where n is number of terms we are taking sum of, a is first term of sequence and r is common ratio of the sequence.
Therefore, Betsy will save $121 in 5 weeks.
We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.
We replaced in : (24-2) x 180 = 3960
So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.
Answer:
10
Step-by-step explanation:
a^2 + b^2 = c^2
6^2 + 8^2 = c^2
36 + 64 = 100
Square root of 100 is 10
a=6 b=8 c=10
I'm so sorry if I got this wrong.
Answer:
1050 masks per person.
Step-by-step explanation:
1) Create an equation to find the total number of masks
2) Solve equation and divide total by 2 to get the number of masks that can be given to both Mark and Paula so that they have equal number.
1) Since Paula has 70% of the total masks, it can be represented as 0.7 * t where t is the variable representing the total number of masks. Mark on the other hand has the remaining number of masks out of 100% which is 30%. We can express that as 0.3. We multiply that by t because he has 30% of the masks. The final equation we have is 0.3t + 840 = 0.7t. 840 because Paula has 840 more masks than Mark.
2) Solve by subtracting 0.3t from both sides leaving you with 0.4t = 840. We divide both sides by 0.4 to get 2100. That is the total number of masks. If we divide that number by 2, we get 1050.
