As I understand, we need to evaluate the given rational expression, we will get that the evaluated expression is equal to - 1/10
<h3>
Evaluating expressions:</h3>
Evaluating an expression just means that we need to replace the variable in the expression for a given value, here we have the expression:
![\frac{3}{2} + (-k) + (-2)](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%2B%20%28-k%29%20%2B%20%28-2%29)
And we want to evaluate it in:
![k = -\frac{2}{5}](https://tex.z-dn.net/?f=k%20%3D%20-%5Cfrac%7B2%7D%7B5%7D)
So we just need to replace k by that value in the above expression, we will get:
![\frac{3}{2} + (-(-\frac{2}{5} )) + (-2)](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%2B%20%28-%28-%5Cfrac%7B2%7D%7B5%7D%20%29%29%20%2B%20%28-2%29)
Now we can just solve this:
![\frac{3}{2} + (-(-\frac{2}{5} )) + (-2)\\\\\frac{3}{2} + \frac{2}{5} + (-2)\\\\\frac{15}{10} + \frac{4}{10} + (-2) = \frac{19}{10} - \frac{20}{10}= -\frac{1}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%20%2B%20%28-%28-%5Cfrac%7B2%7D%7B5%7D%20%29%29%20%2B%20%28-2%29%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7D%20%2B%20%5Cfrac%7B2%7D%7B5%7D%20%20%2B%20%28-2%29%5C%5C%5C%5C%5Cfrac%7B15%7D%7B10%7D%20%2B%20%5Cfrac%7B4%7D%7B10%7D%20%20%2B%20%28-2%29%20%3D%20%5Cfrac%7B19%7D%7B10%7D%20-%20%5Cfrac%7B20%7D%7B10%7D%3D%20-%5Cfrac%7B1%7D%7B10%7D)
If you want to learn more about evaluating expressions, you can read:
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2 gallons is equal to 256 oz and a cup is equal to 8 oz so your total is 270 fl oz.
Answer
Find out the how much prize money did she win.
To proof
Let us assume that the total amount prize money did she win be u.
As given
Mrs.Gill won certain prize money in a cooking competition.
She spent half of the prize money on the clothes
![= u -\frac{u}{2}\\ = \frac{u}{2}](https://tex.z-dn.net/?f=%3D%20u%20-%5Cfrac%7Bu%7D%7B2%7D%5C%5C%20%3D%20%5Cfrac%7Bu%7D%7B2%7D)
one third on grocery
![= \frac{u}{2} -\frac{u}{3}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7Bu%7D%7B2%7D%20-%5Cfrac%7Bu%7D%7B3%7D)
(L.C.M of (2,3) =6 )
![= \frac{3u -2u}{6} \\=\frac{u}{6}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B3u%20-2u%7D%7B6%7D%20%5C%5C%3D%5Cfrac%7Bu%7D%7B6%7D)
gave away the remaining Rs.2000 to an orphanage
![2000 = \frac{u}{6}](https://tex.z-dn.net/?f=2000%20%3D%20%5Cfrac%7Bu%7D%7B6%7D)
u =Rs 12000
Rs 12000 prize money did she win.
Hence proved
Multiplication is the process of multiplying. The amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.
<h3>What is multiplication?</h3>
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given a medicine provides 3.6 milligrams of medicine. Therefore, the amount of medicine the dog will have in a week is,
The amount of medicine = 3.6milligrams × 7 = 25.2 milligrams
Hence, the amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.
Learn more about Multiplication:
brainly.com/question/14059007
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We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.