100 = 2t + 4f
40= t + f
-----------
get t or f by itself first.
f = 40 - t : Then substitute it back into for f in the other equation
100 = 2t + 4f
100= 2t +4(40-t)
100= 2t + 160 - 4t
100 = -2t + 160
-160 -160
<u>-60 </u>= <u>-2t
</u>-2 -2
t = 30 (Then plug this into either equation to solve for f)
Therefore,
t = 30 questions
f = 10 questions
Hi
Let me help you out
101/25 is a in proper fraction.
To change the in proper fraction to a proper fraction you have to see which number is close to 101 by multiplying numbers to 25. You can also divide 101 by 25 which is 4 remainder 1.
25*4=100
100 is close to 101
the answer would be 4&<span>1/25</span>
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answer thank you
Answer:
Matrix transformation = ![\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
Vertices of the new image: P'= (5,-2), Q'= (6,-3), R'= (2,-3)
Step-by-step explanation:
Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be:
.
To find the coordinate of the vertices after transformation, you have to multiply the vertices with the matrix. The calculation of the each vertice will be:
P'=
= (5,-2)
Q'=
= (6,-3)
R'=
= (2,-3)
Answer: Percentage change in quantity would decrease by 12.5%.
Step-by-step explanation:
Since we have given that
Price elasticity of demand = -0.8
Price of each unit = $100
After change, price of each unit becomes = $110
% change in quantity would be

As we know the relation between price, quantity and elasticity.

Hence, Percentage change in quantity would decrease by 12.5%.