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3 years ago

I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

Zina [86]3 years ago

8 0

Answer:

Yes, x and y have a proportional relationship.

Step-by-step explanation:

A proportional relationship means that, when comparing two quanities, that they are both changing at a constant (same) amount. When looking at a table to compare quantities, you can see that the pounds of tomatoes 'x' is increasing by one (1) each time. If you look at the amount spent in dollars 'y', you can see that for each pound (x), the cost is increasing by $4. So, since for every pound of tomatoes that is purchased increases by $4, then their relationship is proportional.

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A fountain, 3 ft in diameter, sits in the center os a circular duck pond. The pond measures 3 ft from the fountain to its edge.

umka2103 [35]

Answer:

$56.55\ ft^2$

Step-by-step explanation:

We know that the diameter of the fountain is 3 feet and that it is in the center of the pond.

We know that the area of a circumference is:

$\pi(r)^2$

where r is the radius of the circumference.

further

d = 2r

Where d is the diameter of the circumference.

Then the radius $r_1$ of the source is 1.5 ft.

The radius $r_2$ of the pond is 1.5 + 3 = 4.5 ft

Finally the area of the pond is equal to the area of the ring that is shown in the image

$A = \pi(r_2)^2 - \pi (r_1)^2\\\\A = \pi(4.5)^2 - \pi(1.5)^2\\\\A = \pi(4.5^2 - 1.5^2)\\\\A = 18\pi = 56.55\ ft^2$

5 0

3 years ago

Please help me with this:

spayn [35]

Answer:

Step-by-step explanation:

one way to describe the prime version of ABCD is that the sides are all 3 times that of the non- prime version. So they are when scaled by 3 .. the same.

4 0

2 years ago

Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft dri

astra-53 [7]

Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C

And

C + 3.5C = Total Cost

C + 3.5C = 9

4.5C = 9 divide both sides by 4.5

C = 9/4.5 = $2.00 for the soft drink

And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich

8 0

3 years ago

Read 2 more answers

Simplify (7/9a+9/7b)^2-ab

lianna [129]

Ab+49/81a^2+81/49b^2

7 0

3 years ago

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago