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3 years ago

Use the work shown below to find the simplified product

Mathematics

2 answers:

Mariulka [41]3 years ago

7 0

I screen shotted my work. Please let me know if you are still confused about how I got my answer.

Answer: 5x/x+3

nignag [31]3 years ago

3 0

Answer:

Step-by-step explanation:

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-9/4 v + 4/5 = 7/8 v=? step by step need help asap please

Vesna [10]

-9/4v + 4/5 = 7/8; First, you subtract 4/5 from each side to have variable v on a side and numbers on the other: -9/4v = 7/8 - 4/5; -9/4v = 35/40 - 32/40; -9/4v = 3/40; Then you divide each side to get the variable v alone on a side, and one number on the other: V= (3/40) / (-9/4); Dividing to fractions is equal to multiplying the first one by the inverse of the second: V= (3/40) * (-4/9); V= -12/360; V= -1/30; You can re-check your answer (very important): (-9/4)*(-1/30)+4/5=7/8; The answer has been approved. Hope this helps! :)

4 0

3 years ago

Median and range of 11,17,19,6,17

Alexxandr [17]

6,11,17,17,19
median is 17
11+17+19+6+17=70
70/5=14
mean is 14
19-6=13
13 is range

6 0

3 years ago

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

Thus the daily expense in dollars can be given by = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

Tour duration now = $(x+4)$ days

On extension, his daily expense is cut by $3

New daily expense in dollars = $(\frac{360}{x}-3)$

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

Jessica is playing a board game and uses a number cube to determine how many spaces she can move for each turn.

yulyashka [42]

Answer: 1 out of 6

Step-by-step explanation: A number cube has 6 numbers on it. Only one of them is a two. If she were using two number cubes then she would have 2 out of 12 chances of landing on a number 2.

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3 years ago

What is the same value as 32 tens

elixir [45]

320 has the same value as 32 tens.

5 0

3 years ago

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