16 feet of fabric left on the roll. take 9 yards turn it into feet (times three to get feet) then do the same for 2 1/3. 9 yards becomes 27 feet and 2 1/3 yards becomes 7 feet. add 7 feet plus four. you get positive eleven. Then take 27 feet minus 11, you get 16 feet or 5 1/3 yards of fabric
Would be Correct
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<span>5x+9=17x-4x+81
-------------------------
Simplify and combine like terms
</span>5x+9=<span>17x+-4x+<span>81
</span></span>5x+9=<span><span>(<span>17x+-4x</span>)</span>+<span>(81<span>)
</span></span></span>5x+9=<span>13x+<span>81
</span></span><span>-----------------------------------
Subtract 13x from each side
</span><span><span>5x+9-</span>13x</span>=<span><span>13x+81-</span><span>13x
</span></span>-8x+9=<span>81
</span><span>-------------------------------------------
Subtract 9 from each side
</span><span><span>-8x+9-</span>9</span>=<span>81-9</span>
<span><span>-8x</span></span>=<span>72
</span><span>------------------------------------------------
And now divide each side by -8
-8x </span>÷ -8 = 72 ÷ -8
<span>x = -9
</span>
Answer:
See explanation below.
Step-by-step explanation:
Notation
First we need to define the following events:
E = The student is in a major of enginnering
O= The student is in a major different from enfinnering
M= The student is in the marching band
Solution for the problem
For this case we can calculate the following probability:
And that represent the following event: "Given a randomly selected student is an engineering major, what is the probability the student is in the marching band"
And the probability that need to calculate to compare is this one:
And that represent the following event: "Given a randomly selected student is NOT an engineering major, what is the probability the student is in the marching band"
And if the claim is satisfied we need to see this:
Answer:
The Discriminant is 25
Step-by-step explanation:
For this case, the discriminant will be given by
b ^ 2 - 4 * a * c
Where
b = 7
a = 3
c = 2
substituting
b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25
Therefore the value of the discriminant is 25.
How many x-intercepts does this function have?
It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,
3x2 + 7x + 2 = 0
The results will be the interceptions with x.
What are the number of zeros for this function?
The number of zeros for this function is
two real number solutions
Because it is a quadratic function.
Dog weigh: 23
cat weigh: 5/8 dogs weigh
so..
23x5/8 = 115/8