Answer:
b
Step-by-step explanation:
plus thanks for da pointz
Answer:
5 Green earrings
Step-by-step explanation:
Given that:
Total amount held = $51
Cost per pair of green earrings = $9
One time shipping fee = $6
How many pairs of green earrings did grace purchase?
Let the number of green earrings purchased = g
Then,
$9*g + $6 = $51
$9g + $6 = $51
$9g = $51 - $6
$9g = $45
g = $45 / $9
g = 5
Hence, the number of green earrings purchased = 5
Answer:
The smallest number of chocolates in the box is 124.
Step-by-step explanation:
There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.
This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.
LCM(8,10,12).
We factore them by prime factors until all are 1. So
8 - 10 - 12|2
4 - 5 - 6|2
2 - 5 - 3|2
1 - 5 - 3|3
1 - 5 - 1|5
1 - 1 - 1
So
lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120
Adding 4: 120 + 4 = 124
The smallest number of chocolates in the box is 124.
Answer:
Step-by-step explanation:
Recall the following Pythagorean Identity:
Let's solve the x equation for cos(t) and the y equation for sin(t).
After the solve we will plug into our above identity.
x=5cos(t)
Divide both sides by 5:
(x/5)=cos(t)
y=5sin(t)
Divide both sides by 5:
(y/5)=sin(t)
Now we are ready to plug into the identity:
Multiply both sides by 5^2:
This is a circle with center (0,0) and radius 5.
All I did to get that was compare our rectangular equation we found to
where (h,k) is the center and r is the radius of a circle.