Answer:
es 999
Step-by-step explanation:
Answer: -4 and 9
Step-by-step explanation:
Answer:
- the number is -6.4
- 52 students were in each bus (but one)
- 1 quart
Step-by-step explanation:
1. Let the number be represented by n. Then ten times the number is 10n, and 8 more than that is 10n+8. The problem statement tells us this sum is -56:
10n +8 = -56
10n = -64 . . . . . . . subtract 8 from both sides
n = -6.4 . . . . . . . . . divide both sides by 10
The number is -6.4.
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2. First of all, you can tell there is an issue with this question because the sum of digits of 472 is 13 and the sum of those digits is 4. This tells you that dividing 472 by 9 will give a remainder of 4, not 5. One of the buses will not be filled. (This process of adding digits until you get a single digit is called "casting out nines". The remaining digit is the remainder from division by 9.)
Let b represent the number of students in each bus. Then the problem statement tells us ...
9b + 5 = 472
9b = 467 . . . . . . subtract 5
b = 467/9 = 51 8/9 . . . . almost 52
52 students rode in 8 of the buses; 51 students rode in the last bus.
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3. Let q represent the number of quarts of 6% solution. Then the total amount of Boric Acid in the mix is ...
15%×2 + 6%×q = 12%×(2+q)
Multiplying by 100 to clear the % signs, we have ...
15·2 +6q = 12(2+q)
30 +6q = 24 +12q . . . . . . eliminate parentheses
6 = 6q . . . . . . . . . . . . . . . . subtract 24+6q from both sides
1 = q . . . . . . divide by 6
1 quart of 6% solution must be used.
Answer:
constant of variation
Step-by-step explanation:
Constant of variation and constant of proportionality mean the same and they are used in variations.
For instance:
In the above equation, y varies directly as x and the constant of proportionality or variation is 2.
<em>It is often represented with k (though, other alphabets can also be used)</em>
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
y = -3/2x - 1/2
b = -1/2
To locate the y-intercept on the graph, find the point where the line crosses through the y-axis or the y-value when x = 0
I can't see the graph but hopefully this information helps you find the answer
