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inna [77]
3 years ago
9

7 5/6 - 3 1/12 what does this equal as a fraction in simplest form

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0

For this case we convert the mixed numbers into fractions:

7 \frac {5} {6} = \frac {6 * 7 + 5} {6} = \frac {42 + 5} {6} = \frac {47} {6}\\3 \frac {1} {12} = \frac {12 * 3 + 1} {12} = \frac {36 + 1} {12} = \frac {37} {12}

Rewriting the expression:

\frac {47} {6} - \frac {37} {12} =\\\frac {12 * 47-6 * 37} {6 * 12} =\\\frac {564-222} {72} =\\\frac {342} {72} =

We simplify:

\frac {171} {36} =\\\frac {57} {12} =\\\frac {19} {4}

Thus, the simplified form is:\frac {19} {4}

Answer:

\frac {19} {4}

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Deacon wants to order DVDs. Each DVD costs $12.95, and he must pay a shipping and handling fee of $4.95 for the entire order. De
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Answer:

12.95x + 4.95 \leq 75

Step-by-step explanation:

Given

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Budget = \$75 (at most)

Required

Represent as an inequality

If Each\ DVD = \$12.95

x DVD would cost:

x\ DVDs = 12.95 * x

x\ DVDs = 12.95x

So, to make an order of x DVDs, Deacon will pay for

x DVDs and Handling Fee

So:

Payments = 12.95x + 4.95

Recall that his budget is at most $75

This implies that: \leq 75

So, the relationship between his payment and budget is:

12.95x + 4.95 \leq 75

7 0
3 years ago
Read 2 more answers
Given the x-intercepts for the graph of a quadratic function, write a possible formula for the quadratic function, in
eduard

Answer:

Step-by-step explanation:

x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic.  They are the same thing generally, they are just written in different forms.  For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0.  Solving that for x, you get x = 3.  That factor of x = 3 is (x - 3).

Following that logic, for a:

If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).

For b:

If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1).  Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)

For c:

If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).

For d:

If the x-intercept is a fraction, do the same thing:

x = 1/2 so

x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)

5 0
3 years ago
Evaluate 8r<br> rs when r<br> 6 and s = 5.
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Answer:

18

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I am assuming you meant 8r-rs, in this case:

Plug in r=6 and s=5:

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3 years ago
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Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
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Answer:

x = -2

Step-by-step explanation:

The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.

Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).

Thus, the equation of the line is x = -2

7 0
3 years ago
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