0 yards remaining if she used one yard
9514 1404 393
Answer:
23, 49
Step-by-step explanation:
Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...
s + (s+26) = 72
2s = 72 -26
s = (72 -26)/2 = 23
Then the larger number is
s +26 = 49
The two numbers are 23 and 49.
_____
The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)
That is, the two numbers are always half the sum ± half the difference:
72/2 ± 26/2 = {36+13, 36-13} = {49, 23}
Answer:
Darcy and Jason have $124 combined
Step-by-step explanation:
Answer:
D) She has a total of $62 in the piggy bank.
Step-by-step explanation:
Jenny has been saving quarters in a piggy bank since she was born.
She decides to add 56 more quarters so that she can buy a $65 phone.
So she has 192 + 56 = 248 quarters currently.
1 quarter is equivalent to $0.25
248 quarters equals;
× $0.25 = $62
So Jenny has a total of $62 in the piggy bank.
The apothem is the distance from the center to the midpoint of one of the sides of a regular polygon. You can make a right triangle with the apothem, the line from the midpoint to the corner and the line from the center to the corner. An equilateral triangle has 60 degree angles (180/3). The right triangle has half of one of those angles so 30 degrees. Now we have a 30-60-90 triangle where the short leg is 5cm. The long leg, which is also half of one side of the triangle is thus

. A whole side of the triangle is

. Multiply that by 3 to get the perimeter of <span>

.</span>