Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>135</u></em><em><u>°</u></em></h2>
Step-by-step explanation:
<em><u>According</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>problem</u></em><em><u>, </u></em>
45° + x = 180° <em>[</em><em>Linear</em><em> </em><em>pair</em><em>]</em>
=> x = 180° - 45°
=> <em><u>x = 135° (Ans)</u></em>
The contrapositive statement are:
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
<h3>What is the
converse statement?</h3>
The converse statement are:
- If the late is frozen, then it is cold.
- If Solomon is happy, then he is healthy.
- If Tigist Tigist does not take a walk, then it will rain.
Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.
Therefore, The contrapositive statement are
- If the lake is frozen, then it isn't cold.
- If Solomon is happy, then he isn't healthy.
- If Tigist does not take a walk, then it will not rain
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10/2 so 5 for 53, 10/4 so 5/2 or 2.5 for 54, and 10/3 or 3.333. For simplicity i divided everything by 10 to remove an extra zero but the answers would still be the same after you reduced
Option B
5 hundredths is not the way to express 0.50
<h3><u>Solution:</u></h3>
Given that Three of the choices are ways to express 0.50
To find: wrong option
Let us first write 0.50 in different ways
<h3><em><u>
To convert a Decimal to a Fraction follow these steps:
</u></em></h3>
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
means 50 hundredths
<h3>Therefore option D is correct</h3>
On simplifying we can write,
means one half
<h3>Therefore option A (one half) is correct</h3>
Similarly, \frac{5}{10} means 5 tenths
<h3>Therefore Option C is also correct</h3>
Thus the wrong option is B
<em><u>Justification:</u></em>
5 hundredths can be written as:
Therefore option B is wrong
You can work these in your head if you consider the revenue generated by the least contributor (children's tickets) and the difference in revenue between that and the larger contributor ($2.00 -1.50 = 0.50).
If all were children's tickets, the revenue would be 500*$1.50 = $750.00. The actual revenue exceeded that amount by $862.50 -750.00 = 112.50. This difference in revenue is made up by the sale of $112.50/$0.50 = 225 adult tickets. Then the number of children's tickets is 500 -225 = 275.
225 adult tickets were sold
275 children's tickets were sold.
_____
If you need an equation, you can write an equation using a variable for the number of adult tickets sold (the largest contributor).
.. (500 -a)*1.50 +a*2.00 = 862.50
.. 0.50a = (862.50 -750.00) . . . . . does this look familiar, yet?
.. a = 112.50/0.50 = 225
