Which number produces a rational number when added to 0.6?
2 answers:
Answer:
Correct option is D.
Step-by-step explanation:
we have to choose the option for which number produces a rational number when added to 0.6
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.
Let's try each of the choices:
A. The term 0.5050050005... is irrational number. Now, when 0.6 is added to it, the sum would be irrational.
B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational
C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.
D. The term is a rational number. Now, when 0.6 or
is added to it, the sum would be
This is a rational number.
Therefore, the answer is D.
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Answer:
C
Step-by-step explanation:
We can use the factored form of the quadratic equation, given by:
Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros.
We have zeros <em>x</em> = -2 and <em>x</em> = 3. So, let <em>p</em> = -2 and <em>q</em> = 3:
Next, we are given that our <em>y-</em>intercept is (0, -30).
In other words, when <em>x</em> = 0, <em>y</em> = -30. So:
Solve for <em>a:</em>
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Hence, our factored equation is:
For the standard form, expand:
Simplify:
Distribute:
Our answer is C.
Answer:
Amount spent by Victoria = $30.
Cost of 1 flan = $22.50
Step-by-step explanation:
A.
Let x be total amount of money that Victoria had before purchasing the flan and chicken pies.
We have been given that Victoria's spends 5/9 of her money on a flan and two chicken pies and Victoria has $24 left. This means that 4/9 of total money is 24.
We can represent this information as:
Let us solve for x.
Let us find 5/9 of 54 to figure out the amount spent by Victoria.
Therefore, Victoria spent an amount of $30.
B.
Let C be cost of one chicken pie and F be cost of one flan.
We have been given that each chicken pie cost 1/6 as much as the flan. We can represent this information in an equation as:
We are also told that Victoria's spends 5/9 of her money on a flan and two chicken pies.
We can represent this information as:
Upon substituting C's value in equation (2) we will get,
Now let us have a common denominator.
Therefore, the cost of one flan is $22.50.