Answer:
The value of x is approximately 0.3684.
Step-by-step explanation:
Given:

We need to solve the proportion.
Solution:
Now we can see that;
In given equation one number is fraction and other number is whole number.
Now To make whole number into fraction we will divide by 1.
hence the whole number will be equal to;

Now the new equation will be;

Now by cross multiplication we get;

Now dividing both side by 19 we get;

Hence the value of x is approximately 0.3684.
Step-by-step explanation:
2:3 and 4:6 is proportional because if you simplify 4:6 it will equal 2:3.
1:4 and 6:18 is not proportional because if you simplify you would not get 1:4.
3:5 and 1:3 is not proportional because you can't simplify it any further and they do not equal each other.
2:5 and 8:20 is proportional because if you take 2:5 and multiply each number by 4 you would get 8:20.
4:9 and 12:27 is proportional because you can simplify 12:27 and get 4:9.
6:15 and 2:5 is proportional because you can multiply 2:5 by 3 and get 6:15.
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
Answer: m = 0
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Answer:
8 nights 8/32 = 4 there was 400 left over after spending 320 on hotel reverse of spending 400 on airfare
Step-by-step explanation: