--------------------------------------------------
Define x :
--------------------------------------------------
Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6
--------------------------------------------------
In two years time:
--------------------------------------------------
Cheryl = x + 2
Lisa = x + 8
--------------------------------------------------
Lisa will be twice as old as Cheryl :
--------------------------------------------------
x + 8 = 2(x + 2)
--------------------------------------------------
Solve x :
--------------------------------------------------
x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4
--------------------------------------------------
Find their age :
--------------------------------------------------
Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10
--------------------------------------------------
Answer: Lisa is 10 years old now.
--------------------------------------------------
Answer:
26
Step-by-step explanation:
1 batch is 1/4 cups of cranberries.
This means that we have to find the number of groups of 1/4 in 6 1/2 cups to find the number of batches.
(The decimal forms of these numbers are 6.5 and 0.25)
6.5/0.25=26
There are 26 batches
Answer:
3 ways
Step-by-step explanation:
Since 6 will remain constant throughout the testing, we just need to find all prime numbers 1-6.
1 - is not prime nor composite
2 - is prime
3 - is prime
4 - 2x2=4, so composite
5 - is prime
6 - 2x3=6, so composite
Therefore, 2, 3, and 5 are prime numbers, and there are 3 of them.
Answer: convex
Step-by-step explanation:A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.
Using sine formula we have
8/sin60 = x/sin30
hence x= 8/√3 = 4.62
