Answer:
3 / 4
Step-by-step explanation:
The original no. = x / x + 10 [ Numerator is taken as x ]
The new no. = x + 19 / (x + 10) - 1
= x + 19 / x + 9 = 3 / 2
Equation-
x + 19 / x + 9 = 3 / 2
By cross multiplying, we get,
2x + 38 = 3x + 27
2x - 3x = 27 - 38
-x = -11
x = 11
Therefore the original no. = ( 11 + 19 ) / ( 11 + 19 + 10 )
= 30 / 40
= 3 / 4
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Answer:
64 degrees
Step-by-step explanation:
Answer:
Part a) 2.36 quarts
Part b) 47.2%
Step-by-step explanation:
Let
x ---> percentage of the resulting mixture that is antifreeze
Remember that
we know that
3 quarts of a solution multiplied by 0.22 (percentage in decimal form) plus 2 quarts of a solution multiplied by 0.85 (percentage in decimal form), must be equal to 5 quarts of a solution multiplied by x (percentage of the resulting mixture)
so
The linear equation that represent this situation is
solve for x
Convert to percentage
therefore
The percentage of the resulting mixture that is antifreeze is 47.2%
To find out how many quarts of antifreeze are in the resulting mixture, multiply the total quarts of the resulting mixture by the percentage in decimal form
You could make a total of 10 scarves
10/4=2.5
25/2.5=10
Answer:
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.
Step-by-step explanation:
Given the quadrilateral with the four vertices.
- Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite sides are congruent or not.
- It is clear that the given quadrilateral has opposite sides congruent.
Therefore, the given quadrilateral represents Parallelogram.
Hence,
Yes! The given quadrilateral represents Parallelogram.
Reason: The given quadrilateral has opposite sides congruent.