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.
15. Because 1 in every 3 picks is orange. 1x5 = 5, and 3x5=15.
Answer:
x=160
Step-by-step explanation:
x×126=24×840
Answer:
yes
Step-by-step explanation:
Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:
Let us try to find out 
and 
. After that we will compare them.
<u>Finding </u><u>:</u>
Side EG is a straight line so 
is sum of internal and external 
<u>Finding </u><u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external = 
Comparing equations (1) and (2):
It can be clearly seen that:
The two angles of are equal hence is isosceles.
