Hello! The think the Answer is - 1 1/2
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.
Answer:
Gavin uses more rope.
Step-by-step explanation:
Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.
8x^5 +4x^2 - 12
= 4(2x^5 + x^2 -3)
answer is A
Answer:
A) -sqrt(3)/3
Step-by-step explanation:
If you know your unit circle (attached), 11pi/6 has the value of (sqrt(3)/2,-1/2), where the coords are (cosine, sine).
Tangent is sine/cosine:
(-1/2)/(sqrt(3)/2)
We can convert this to multiplication by miltiplying the reciprocal of sqrt(3)/2:
(-1/2)*(2/sqrt(3))
Multiplied out to:
-2/(2sqrt(3))
We have to rationalize this by multiplying the numerator and denominator by sqrt(3):
-2(sqrt(3))/2sqrt(3)(sqrt(3)
two of the same square roots multiplied together equals the number without the sqrt:
-2(sqrt(3))/2*3
we can factor out 2 from the numerator and denominator:
-sqrt(3)/3
Therefore, the answer is A
