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vivado [14]
3 years ago
13

-4 - 2 =2v-2+v+100\4

Mathematics
1 answer:
Kamila [148]3 years ago
4 0
X=-29/3 Original equation:<span>−4−2</span>=<span>2v−2+v+100/4 </span>
Simplify and combine like terms:<span><span><span>−4</span>+</span>−2</span>=<span><span><span><span><span>2v</span>+</span>−2</span>+v</span>+25</span><span><span>(<span><span>−4</span>+<span>−2</span></span>)</span>=<span><span>(<span><span>2v</span>+v</span>)</span>+<span>(<span><span>−2</span>+25</span>)
</span></span></span><span>−6</span>=<span><span>3v</span>+23</span><span><span>−6</span>=<span><span>3v</span>+<span>23
Flip Equation: </span></span></span><span><span>3v</span>+23</span>=<span>−<span>6
</span></span>Subtract 23 from each side:<span><span><span>3v</span>+23</span>−23</span>=<span><span>−6</span>−23</span>
<span><span>3v</span>=<span>−<span>29
</span></span></span>Divide each side by 3:<span><span><span>3v/</span>3</span>=<span><span>−29/</span>3</span></span><span>v=<span><span>−29/</span><span>3</span></span></span>
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Hannah buys two and a half pound of dried fruit for $1.15 how much is she paying for one pounds of dried fruit
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All we have to do here is divide how much she paid ($1.15) by how many pounds of dried fruit she bought (2.5 pounds)

1.15 ÷ 2.5 = 0.46

Therefore each pound costs $0.46

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3 years ago
One of the giraffes, Bernard, is sick. Last week he weighed 2,490 pounds. This week he weighs 2,312 pounds. If w represents the
victus00 [196]

Answer:

w+2,312=2,490

w=178\ pounds

Step-by-step explanation:

Let

w ----> the amount of weight lost in pounds

we know that

The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week

so

The linear equation that represent this situation is

w+2,312=2,490

solve for w

subtract 2,312 both sides

w=2,490- 2,312=178\ pounds

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2 years ago
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RSB [31]
Wow.... My brother Said that it took him a while to figure it out... but

add 110.25 and 55.45

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Han has 4 dimes. What percent of a dollar does Han have?
Mama L [17]

Answer:

40%

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4 dimes = 40 cents

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3 years ago
A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds.
pantera1 [17]

Answer:

  3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

  0 = -16t^2 +13.4t +120

  0 = t^2 -0.8375t -7.5 . . . . divide by -16

  0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

  0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

  √7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

  t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

  (t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

_____

<em>Comment on the question</em>

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...

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2 years ago
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