13: multiply the amount by the tax rate (to make a percent a decimal move the decimal point 2 places to the left) and add the original amount and the taxed amount together. For 12 do above but then multiply the total by the tip rate and add together (basically the same as the tax again) :) I hope this helps
The required simplified value of x and y is 32 and 84 respectively.
Given that,
To find the values of x and y. State which theorem(s) you used.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Vertical opposite angles
3x = 5x - 64
2x = 64
x = 32
Now,
5x - 64 = 5*32 - 64
= 160 - 64
= 96°
Now complementary angle y
y = 180 - 96°
y = 84°
Thus, the required simplified value of x and y is 32 and 84 respectively.
Learn more about simplification here:
brainly.com/question/12501526
#SPJ1
Answer:
-15 + 10x
or
10x - 15
(either one works)
Step-by-step explanation:
You mean you just want me to expand it?
Ok.
Multiply -5 by 3 and -2x.
(-5)(3) = -15
(-5)(-2x) = +10x
Add those together:
-15 + 10x
or
10x - 15
This is a Logic Problem. So we need to use operators to solve this problem. There are several operators in logic. Operators can be <em>monadic or dyadic</em>. A <em>monadic operator</em> operates on a single simple statement. Other operators will all be <em>dyadic operators </em>because they operate on two simple statements.
So we have the following simple statements:
p: the book is interesting
q: the book has pictures
Thus, let's solve each notation.
First. p ∧ q
<u>Conjunction operator.</u> <span>The conjunction operator creates a compound statement such that in order for the whole statement to be true, <em>each simple statement must be true. </em>
</span><u>Symbol:</u> & (also ∧)
<u>Parts of conjunction:</u> <span>Two simple statements joined by the conjunction symbol.
</span>
<u>Answer:</u>
<span>p ∧ q: The book is interesting and the book has pictures.
</span>Second. p ↔ q
<u>Bi-conditional operator:</u> The bi-conditional operator creates a compound statement such that in order for the whole statement to be true <em>each simple statement has to have the same truth value.</em>
<u>Symbol:</u> ↔
<u>Parts of bi-conditional:</u> Two simple statements joined by the bi-conditional symbol.
<u>Answer:</u>
p ↔ q: The book is interesting if and only if the book has pictures.
Third. p ∨ q
<u>Disjunction operator:</u> The disjunction operator creates a compound statement that is <em>true if either simple statement is true but false if both simple statements are false.</em>
<u>Symbol:</u> ∨
<u>Parts of disjunction: </u>Two simple statements joined by the disjunction symbol
<u>Answer:</u>
p ∨ q: The book is interesting or the book has pictures.
Fourth. p → q
<u>Conditional operator:</u> T<span>he conditional operator creates a compound statement that sets up a condition for something to be true. <em>If the condition is met, the statement is true.</em>
</span>
<u>Symbol:</u> →
<u>Parts of conditional:</u> <span>Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the </span><em>antecedent</em><span> and the second simple statement is called the </span><em>consequent</em><span>.</span>
<u>Answer:</u>
p → q: If the book is interesting then the book has pictures.
