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Gala2k [10]
4 years ago
11

At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 o

ranges for a total harvest of 41790 oranges. Write an equation to determine the initial number of orange trees (t) on MacDonald's farm.At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 oranges for a total harvest of 41790 oranges. Write an equation to determine the initial number of orange trees (t) on MacDonald's farm.'
Find the initial number of orange trees on MacDonald's farm.
Mathematics
1 answer:
allochka39001 [22]4 years ago
8 0
Suppose t would be the initial number of trees 

"remove 5 trees at the beginning of the season"  means (t - 5) stay 

"every remaining tree made 210 oranges for a total of 41,790 oranges"    means(t - 5)  *   210  = 41790 Now, you can solve for t:

        (t-5)(210) = 41790

        210t - 1050 = 41790

        210t = 42840 

          t = 204   At start there were 204 trees.  After 5 were cut, the 199 that had remained, made 210 oranges each for an amount of 199*210 = 41790 oranges.
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At a store there are 5 vases each vase has the same number of flowers 16 flowers are sold now there are 24 flowers left how many
Drupady [299]
Let f=number of flowers in a vase, then:

5f-16=24  add 16 to both sides

5f=40  divide both sides by 5

f=8 

So there were 8 flowers per vase in the beginning.
4 0
3 years ago
Read 2 more answers
find the area of the isocele triangle formed by the points of intersection of parabolas y=-x^2+9 and y=2x^2-3 and the origin
leonid [27]

Answer:

10\ \text{sq. units}

Step-by-step explanation:

The parabola's are

y=-x^2+9

y=2x^2-3

So

-x^2+9=2x^2-3\\\Rightarrow 12=3x^2\\\Rightarrow \\\Rightarrow x=\sqrt{\dfrac{12}{3}}\\\Rightarrow x=\pm 2

y=-x^2+9=-(2)^2+9\\\Rightarrow y=5

y=-(-2)^2+9=5

So, the points at which the parabola's intersect each other is (2,5) and (-2,5)

The three points of the triangle are (2,5), (-2,5) and (0,0)

Area of a triangle is given by

A=\dfrac{1}{2}[x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)]\\\Rightarrow A=\dfrac{1}{2}[2(5-0)+(-2)(0-5)+0(5-5)]\\\Rightarrow A=10\ \text{sq. units}

Area of the triangle formed is 10\ \text{sq. units}.

3 0
3 years ago
Round to the neast 80
Paul [167]
It would still be 80

Example:
<span>14,494 </span>
<span>To round off the height value to the nearest thousand we can use the expanded from to clarity the position of numbers which is: </span>
<span>10, 000 = ten thousand </span>
<span>4, 000 = thousands </span>
<span>400 = hundreds </span>
<span>90 = tens </span>
<span>4 = ones </span>
<span>Here we can notice than four thousand is the value where the nearest thousands is placed. Hence we can round off the number of 14, 494 into 14, 000. Notice 0-4 rounding off rules.<span> </span></span>

3 0
3 years ago
Read 2 more answers
Eliosa determined that the correlation coefficient of the data set -0.7. What percent of the total variation in the y-values is
Anon25 [30]

Answer:

51% of the variation in Y is not explained by the regression line.

Step-by-step explanation:

To find the amount of variation not explained by the regression equation (how you found the correlation coefficient), we need to find <em>R. </em>We already have r ...

So to find R from r ( the correlation coefficient ) we just square it.

r² = .7² = .49

Then we just subtract that number from 1 to get the amount of <em>variation that is </em>not explained - which is ... .49 - 1 = .51 (convert to percent) = 51%

5 0
4 years ago
Using more advanced technology, a team of workers began to produce 6 more parts per hour than planned. As a result the team fulf
Aliun [14]

Answer: 10 parts per hour

Step-by-step explanation:

Let the team supposed to produce x parts per hour.

Thus, in 8 hour, the team supposed to produce = 8 x

Now, when company produce 6 more parts per hour than planned ,

Then the new parts per hour produced by company = x + 6

Thus, in 6 hour, the team supposed to produce = 6 ( x +6 )

According to the question,

As a result of new plan the team fulfilled 120% of an eight hours day work in six hours.

That is, \text{120\% of 8 x} = 6 ( x +6 )

⇒ \frac{120\times 8x}{100} = 6 x + 36

⇒ \frac{960x}{100} = 6 x + 36

⇒ 9.6 x = 6 x + 36

⇒ 9.6 x - 6 x = 36

⇒ 3.6 x = 36

⇒  x = 10

Thus, 10 parts per hour was the team supposed to produce according to the plan.

8 0
4 years ago
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