Answer:
5 felt pads.
7 cards.
Step-by-step explanation:
Remark
- The total number of items is 12
- So let the felt sheets be x
- Let the cards = y
Equations and Solution
x + y = 12
Now the price is 7.75 that she has to pay for the 12 items. She wants to come back with 0 dollars.
0.5x + 0.75y = 7.75 Multiply this equation by 2
x + 1.5y = 15.50 write the first equation underneath and subtract.
<u>x + y = 12</u>
.5y = 3 Divide by 0.5
y = 3/0.5
y = 7
So she can get 7 cards.
x + y = 12
x + 7 = 12
x = 12 - 7
x = 5
So she can buy 5 felt pads.
C=πd where C=circumference, π=the constant pi, and d=diamter
d=C/π and since we are told that C=9π
d=9π/π
d=9
Answer:
OPTION 4
Step-by-step explanation:
Let the three consecutive numbers be n, (n + 1) and (n + 2).
Note that the largest number of the three is (n + 2) and the smallest is n.
So, according to the given data, the sum of all the three integers is equal to 1 more than twice more than the largest number.
Writing it mathematically, we have:
n + (n + 1) + (n + 2) = 12 + 2(n + 2)
This is OPTION (4) and is the answer,