Answer:
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Jade can make 403 necklaces.
1/5 of 121024 = 1/5(121024) = 0.2(121024) = 24204.8 = 24204 glass beads
1/10 of 121024 = 1/10(121024) = 0.1(121024) = 12102.4 = 12102 pony beads
To find the number of marbled beads, we add the fraction of the other two kinds together:
1/5 + 1/10
We will use 10 as the denominator:
2/10 + 1/10 = 3/10
The fraction that the marbled beads represents will make up 100%, or the whole number 1:
1-3/10 = 7/10
7/10 of 121024 = 7/10(121024) = 0.7(121024) = 84716.8 = 84716 marbled beads
Since it takes 20 glass beads to make a necklace, we divide the number of glass beads, 24204, by 20:
24204/20 = 1210 necklaces
It takes 30 pony beads to make a necklace. We divide the number of pony beads, 12102, by 30:
12102/30 = 403 necklaces
It takes 50 marbled beads to make a necklace. We divide the number of marbled beads, 84716, by 50:
84716/50 = 1694 necklaces
We must go with the smallest number, in order to ensure we have enough beads; this means she can make 403 necklaces.
Triangle ABE is similar to triangle CED (AAA)
10/8 = (2x+6) / (x+6)
x=2
therefore AE = 2(2) + 6
= 10 units
Answer:
C(x) = 15 + 12 * x
Step-by-step explanation:
Cost = monthly fee plus cost per hour * hours
C(x) = 15 + 12 * x
The equation for finding the equation of an arithmetic sequence is an=a1+(n-1)d, where n is the input for the sequence, a1 is the first term, and d is the difference between each term.
a1= 1/4
d= 1/4
an= 1/4 + (n-1)(1/2) - First you need to distribute the 1/2 to both the n and -1 to get: an= 1/4 + 1/2n -1/2.
Then you need to add like terms (1/4-1/2) to get an=1/2n-1/4. Hope this helps!
