Answer:
2 students failed the test.
Step-by-step explanation:
There are 40 students and 95% passed. 95% is also equal to 0.95. Since we are looking for the students who failed, subtract 1.00 - 0.95. You get 0.05. The percentage of students who failed is 5%. Multiply 0.05 times 40 to get 2. This is the amount of students who failed.
To find the width you must subtract 2 7/8 from the length.
4 5/8
- 2 7/8
=
3 13/8
- 2 7/8
=
1 6/8
=
1 3/4 feet
Answer:
Option D is correct.
XY = 10 cm
Step-by-step explanation:
Complete Question
Which of the following statements must be true, given that ABC = XYZ and AB = 10 cm?
The diagram for the question is missing.
Solution
The diagram for the question isn't attached.
But from the condition, ABC = XYZ, it is evident that the two triangles are similar according to the SSS congruent theorem.
If all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar. And from the condition given, we can predict, without seeing the diagram for the question, that
(AB/XY) = (BC/YZ) = (CA/ZX)
We can also predict that the triangles are exactly the same and the proportionality bbetween is 1.
AB = XY
BC = YZ
CA = ZX
Hence, AB = XY = 10 cm.
Hope this Helps!!!
Answer: At the end of 5 years, your savings will have grown to $552.
You will have earned in $52.04 in interest.
Answer:
(x, y) = (1/2, -1)
Step-by-step explanation:
Subtracting twice the first equation from the second gives ...
(2/x +1/y) -2(1/x -5/y) = (3) -2(7)
11/y = -11 . . . . simplify
y = -1 . . . . . . . multiply by y/-11
Using the second equation, we can find x:
2/x +1/-1 = 3
2/x = 4 . . . . . . . add 1
x = 1/2 . . . . . . . multiply by x/4
The solution is (x, y) = (1/2, -1).
_____
<em>Additional comment</em>
If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.
A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).
