Two equivalent expressions for 24x - 3y
1 answer:
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To do this, we must set up ratios:
Option One:
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three:
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
The third option costs $0.00565/gram.
Therefore, option three is the cheapest!
Hope this helps!
Option One:
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three:
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
The third option costs $0.00565/gram.
Therefore, option three is the cheapest!
Hope this helps!
Answer:
The value of x would be or
Step-by-step explanation:
Given,
x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,
Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,
⇒ 0.1x + 0.02y = 0.05(x+y),
0.1x - 0.05x = 0.05y - 0.02y
0.05x = 0.03y
Now, resultant mixture is z ton,
i.e.
From equation (1),
Answer:
m∠JKP = 31.5°
Step-by-step explanation:
Incenter of a triangle is the point where all the bisectors of interior angles intersect each other.
JN is the angle bisector of ∠KJL.
Therefore, m∠KJN = m∠LJN
(7x - 6) = (5x + 4)
7x - 5x = 6 + 4
2x = 10
x = 5
m∠KJN = (7x - 6)
= 7(5) - 6
= 35 - 6
= 29°
In ΔKJN,
m∠JKN + m∠KNJ + m∠NJK = 180°
m∠JKN + 90° + 29° = 180°
m∠JKN = 180°- 119° = 61°
Since KO is the angle bisector of ∠JKN,
m∠JKP =
=
= 30.5°