Answer:
digit in the unit's place originally = 5
Step-by-step explanation:
x + y = 14
xy - yx = 36
Now, the only single digits that sum up to 14 are;
9 + 5 = 14
8 + 6 = 14
We can't use 7 + 7 because they said there is a difference when the numbers are reversed.
Now, let's assume 95 is the original number since we are told when it is reversed it is lesser.
Thus, when reversed we have 59.
Difference = 95 - 59 = 36
Thus,unit number of original number = 5
Answer:
Step-by-step explanation:
For mixture problems, it is convenient to define a variable to represent the amount of the greatest contributor. Let x represent the amount of 22% solution in the mix. Then 4.8-x is the amount of 10% solution.
The amount of alcohol in the mix is ...
0.22x +0.10(4.8-x) = 0.12(4.8)
Eliminating parentheses, we have ...
0.22x -0.10x +0.10(4.8) = 0.12(4.8)
Subtracting (0.10)(4.8) and combining x-terms gives ...
0.12x = 0.02(4.8)
x = (0.02/0.12)(4.8) = 0.8 . . . . . divide by the x-coefficient
The scientist needs 0.8 L of 22% solution and 4.0 L of 10% solution.
Answer:
(D) There are probably more blue marbles than red marbles in the bag.
Step-by-step explanation:
There are a total of 100 marbles in the bag.
In the experiment of 50 trials, Sam had the following outcome:
Blue=35
Red=15
Relative Frequency of Blue Marbles =35/50=0.7
Relative Frequency of Red Marbles =15/50=0.3
Since the relative frequency of blue marbles is greater than the relative frequency of red marbles, <u>there are probably more blue marbles than red marbles in the bag.</u>
The correct option is D.
<span>Information is given(reasons are in the parenthesis)
Angle A and angle B are supplementary. Angle B and Angle C are supplementary (given)
DC is parallel to AB (consecutive interior angles are supplementary )
BC is parallel to AD (consecutive interior angles are supplementary)
ABCD is a parallelogram (definition of parallelogram, has to pairs of parallel sides)</span>