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Diano4ka-milaya [45]
2 years ago
5

Ok I need to know how to simplify Thanks Dimitri

Mathematics
1 answer:
aliina [53]2 years ago
7 0

ex: 5/25=1/5

5 divided by 5 is and 25 divided by 5 is 5.

1.Write down the factors for the numerator(top number) and the denominator(the number down below).

2.Find the largest factor that is common between the two.

3.Divide the numerator and denominator by the greatest common factor.

4.Write down the reduced fraction.

Hope this helps

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for x days.

So, for x days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = \frac{360}{x}

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = (x+4) days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= (\frac{360}{x}-3)

Total expense in dollars can now be given as:  (x+4)(\frac{360}{x}-3)

Simplifying by using distribution (FOIL).

(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))

360-3x+\frac{1440}{x}-12

348-3x+\frac{1440}{x}

We know total expense remains the same which is = $360.

So, we have the equation as:

348-3x+\frac{1440}{x}=360

Multiplying each term with x to remove fractions.

348x-3x^2+1440=360x

Subtracting 348x both sides

348x-348x-3x^2+1440=360x-348x

-3x^2+1440=12x

Dividing each term with -3.

\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}

x^2-480=-4x

Adding 4x both sides.

x^2+4x-480=-4x+4x

x^2+4x-480=0

Solving using quadratic formula.

For a quadratic equation: ax^2+bx+c=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plugging in values from the equation we got.

x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}

x=\frac{-4\pm\sqrt{16+1920}}{2}

x=\frac{-4\pm\sqrt{1936}}{2}

x=\frac{-4\pm44}{2}

So, we have

x=\frac{-4+44}{2}   and x=\frac{-4-44}{2}

x=\frac{40}{2}   and x=\frac{-48}{2}

∴ x=20           and x=-24

Since number of days cannot be negative, so we take x=20 as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0
3 years ago
What is the volume of the figure​
Law Incorporation [45]

Answer:

5,376in^3

Step-by-step explanation:

find the volume of the smaller box first

10×4×12 = 480in^3

find volume of bigger box

17×12×24 = 4,896in^3

add both volumes 4,896 +480 = 5,376in^3

3 0
2 years ago
Read 2 more answers
if one person walked 1.2miles and the other walked 0.8 miles and they made 120.00 how much money did each one make
alexdok [17]
The one who walked 1.2 miles would have made $72 and the one who walked 0.8 miles would have made $48.
7 0
3 years ago
Can someone please explain how to go the answers for this
Effectus [21]

Answer:

A=3, B=4, C=-5

Step-by-step explanation:

So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.

7 0
3 years ago
Based on given information for each of the following, which lines cannot be parallel? a m∠2=127°, m∠3=63°\ PLZZSZZZ help :&gt;
tia_tia [17]

Answer:

Lines m and n cannot be parallel

Step-by-step explanation:

1. Because angles 2 and 3 are Same Side Interior Angles, they must be supplementary.

2. To check this you add the angles together (127 + 63) and it sums to 190 degrees, not 180

3. Since they don't agree with the laws of parallel lines, the lines that the angles are on can't be parallel

4. Angles 2 and 3 reside on lines m and n so lines m and n cannot be parallel

7 0
3 years ago
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