Answer:
(9 + 1)
Step-by-step explanation:
simplify (3a²b²)²+(ab)²; for the first term, square the 3 and multiply the exponents by 2, also multiply the exponents by 2 in the second term
; factor out
(9 + 1)
ΔJKL, sin(JLK)=JK/KL=3/6=0.5
<JKL=30deg.
cos(JLK)=JL/KL
JL=KL*cos(JLK)=6cos(30deg.)
<JLK + <JLM = <MLK
30 + <JLM = 61
<JLM=31deg
in ΔMJL
tan(JLM)=JM/JL
JM=JL*tan(JLM)
=6cos(30deg.)*tan(31deg)
=3.12
Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
Answer:
Answer: 2.5
Step-by-step explanation:
It seems as if everything is divided by two so 5/2 is 2.5
Answer:
8
Step-by-step explanation:
8•4=32 it's not that bad
