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choli [55]
3 years ago
13

Rebecca is planting an orange grove that covers 32 acres she uses the same amount of ground space for each tree Rebecca plants 1

5 trees in a section of the grove that measures 250 feet by 25 feet what is the population density of this section of the grove use 1 acre= 43,560 square feet
Mathematics
1 answer:
telo118 [61]3 years ago
4 0
Area of the garden that 15 trees are planted will be:
Area=250×25=6250 ft²
but 1 acre= 43560 ft²
thus converting our area to acres we get:
6250/(43560)
=0.1435 acres
thus the population density will be:
(Population)/(area)
=15/0.1435
=104.544 trees/acre
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Please show me how to solve for Xsquared - 21.75X = -15.75. I have the solution but do not know how to solve it.
Andreas93 [3]
x^2-21.75x=-15.75 \\
x^2-21.75x+15.75=0

Use the quadratic formula:
x^2-21.75x+15.75=0 \\ \\
a=1 \\ b=-21.75 \\ c=15.75 \\ b^2-4ac=(-21.75)^2-4 \times 1 \times 15.75=473.0625-63=410.0625 \\ \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-21.75) \pm \sqrt{410.0625}}{2 \times 1}=\frac{21.75 \pm 20.25}{2} \\
x=\frac{21.75-20.25}{2} \ \lor \ x=\frac{21.75+20.25}{2} \\
x=\frac{1.5}{2} \ \lor \ x=\frac{42}{2} \\
x=\frac{15}{20} \ \lor \ x=21 \\
x=\frac{3}{4} \ \lor \ x=21 \\
\boxed{x=\frac{3}{4} \hbox{ or } x=21}
3 0
3 years ago
The dashed triangle is the image of the solid triangle. The center of dilation is (−5, 7) .
adell [148]
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12

After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3

The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25

Answer: The scale factor is 0.25

3 0
3 years ago
Read 2 more answers
Tyger uses brick which are 7cm tall to build a tower.His final tower is 26 bricks high.How many cm tall is it?
iris [78.8K]
If the 26 bricks are each 7 cm, seems like multiplication or repeated addition would solve the problem. Multiplication would be faster. 26 x 7 = 182
182 cm tall.
3 0
3 years ago
Read 2 more answers
The product of 12 and k is 84.<br><br> Solve for k.
Mrac [35]

Answer:

The product of 12 and k is 84

According to the given problem, the equation is

\boxed{12k = 84} \\ k =  \frac{84}{12}  \\  \boxed{k = 7}

  • <u>k = 7</u> is the right answer.
5 0
2 years ago
Can y'all guy's help me ,show work too
Nikitich [7]

Solution for x+4=10 equation:
1x + 4 = 10
1x = 10 - 4
1x = 6 (divide both sides by 1 to get x)
1x/1 = 6/1
x = 6

I hope this helped.


8 0
3 years ago
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