Convert 6.28km into metres
2 answers:
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Answer:
- 1 grams of one of the alloy; and
- 7 grams of the other corresponding alloy.
Step-by-step explanation:
The ratio between the gold and silver in the first piece = 2:3
The ratio between the gold and silver in the second piece =3:7
The ratio in the mixture = 5:11
We want to have 8 gram of the new mixture.
Let the gram of alloy taken from the first piece=x
Therefore: gram of alloy would be taken from the second piece=(8-x)
This gives:
We simplify the equation above for the value of x.
Therefore to create 8 gram of gold and silver alloy with gold-silver ratio 5:11, we take 1 grams of one of the alloy and 7 grams of the other alloy.
Answer:
The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the solution ⇒
3rd answer
Step-by-step explanation:
- The first line has negative slope and passing through points (0 , 0)
and (4 , -2)
∵
- The second line has positive slope and passing through points (-2 , 0)
and (2 , 2)
∵
- Look to the attached figure to see the common part of the solutions
- The red shaded represents the inequality
- The blue shaded represents the inequality
- The shaded part with two colors represents the common solutions
of the two inequalities
- Lets find the ordered pairs which are in the solution set of the system
of linear inequalities
- Points (-4 , 2) , (-3 , 1) , (4 , -3) lies out the common shaded
- Points (5 , -2) , (3 , 1) , (3 , -1) , (4 , 2)
∵ Point (5 , -2) lies in the common shaded part
∵ Point (3 , 1) lies in the common shaded part
∵ Point (4 , 2) lies in the common shaded part
∴ The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the
solution
