A greenhouse that specializes in growing carnations is divided into sections. The number of plants in each section depends on the number of sprinklers in that section.There are y(5y − 4) red carnation plants and (9 + y)2 white carnation plants in a section with y sprinklers.

Which simplified expression represents the total number of red and white carnation plants in a section with y sprinklers?
5y2 + 18y +77
5y4 + 14y + 81
6y2 + 14y + 81
6y2 + 18y + 77

Answers

Answer 1
Answer:

Answer:

C. 6y^2+14y+81

Step-by-step explanation:

We have been given that the expression y(5y-4) represents number of red carnation plants and expression (9+y)^2 represents number of white carnation plants in a section with y sprinklers in a green house.

To find the simplified expression that represents the total number of red and white carnation plants in a section with y sprinklers, we will add our both expressions.

y(5y-4)+(9+y)^2

Upon distributing y on 1st expression we will get,

5y*y-4y+(9+y)^2

5y^2-4y+(9+y)^2

Upon expanding the perfect square we will get,

5y^2-4y+(9^2+2*9y+y^2)

5y^2-4y+(81+18y+y^2)

5y^2-4y+81+18y+y^2

Now, we will combine like terms.

5y^2+y^2-4y+18y+81

6y^2+14y+81

Therefore, option C is the correct choice.

Answer 2
Answer: Good evening,

y(5y-4)+(9+y)²=5y²-4y+81+18y+y²
=6y²+14y+81


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Select all that apply.Debra usually works 16 hours a week, but this week she worked 22 hours. What is the change in her hours?


an increase of 6 hours
an increase of 37.5%
an increase of 27.3%
a decrease of 6 hours

Answers

If you would like to know the change in Debra's hours, you can calculate this using the following steps:

x% of 16 hours is 22 hours
x% * 16 = 22
x/100 * 16 = 22
x = 22 * 100 / 16
x = 137.5%

137.5% - 100% = 37.5%

22 hours - 16 hours = 6 hours

The correct result would be: an increase of 6 hours, and an increase of 37.5%.

Answer:

a decrease of 6 hours

an increase of 37.5%

Step-by-step explanation:

Hope it helps :b

In a crayon box there are 5 dark colors for every 8 light colors. If there are 20 dark colors, how many light colors are there?

Answers

5x4=20 so 8x4=32 32 light colors in the box
If we write this as a ratio then it would be 5:8. Now since there are 20 dark colors and also 5, what do 5 and 20 have in common... 5 times 4 is 20 so since we multiplied by 4 on dark colors do the same  to the light colors so 8 times 4 = 32. So the answer is 32 light colors

The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, P, a certain interest rate, r, and over time, t. What is the value for r, after the equation is rearranged?r equals start fraction cap a plus p over p t end fraction
r equals start fraction cap a minus p over p t end fraction
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Answers

A=p+prt
minus p both sides
A-p=prt
divide both sides by pt
(A-p)/(pt)=r
dunno what a fraction cap is
I would guess it is the 2nd one

Answer:

The answer is B, r = "A - p / pt."

Step-by-step explanation:

I just took the test and got a 100% with this answer. I hope this helps!

Use backtracking to find a subset, if it exists, of the set {27, 24, 19, 14, 11, 8} with sum:a) 20
b)60

Answers

Its A. 20 because most of the numbers in the set are closest to 20 or a little below 20

If the radius of a circle is increased by 100%, then the area is increased by:(A)100% (B) 200% (C) 300% (D) 400% (E) none of these

Answers

A_1=\pi r^2\n\nR=2r\ then\ A_2=\pi R^2\to A_2=\pi(2r)^2=4\pi r^2\n\nA_2-A_1=4\pi r^2-\pi r^2=3\pi r^2=3A_1\n\n3=300\%\n\nAnswer:(C).

hope this helps in the picture below :)