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Sedaia [141]
3 years ago
15

31.

Mathematics
1 answer:
faust18 [17]3 years ago
5 0
Well. No. Because it’s supposed to be 0.122222222...
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Which expression is equivalent to 2(a+3) when a equals 3<br><br>2(3)<br>5(3)<br>2(3)+3<br>2(3)+6​
sammy [17]
2(3+3) or 2(3)+6, so the answer is the third option. It’s just using the distributive property.
8 0
3 years ago
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10 You work at a factory that bottles honey The factory bottles S250 gallons of honey into cup size bottles on average a ay How
erma4kov [3.2K]

Answer:

The factory bottles <u>4000 cups of hone</u>y a day.

Step-by-step explanation:

1 gallon = 16 cups

250 gallons = 4000 cups

Hope this helps!

8 0
3 years ago
Angles α and β are the two acute angles in a right triangle, where α = 5x 3 + 20 and β = 2x 3 + 14. Find α.
Tom [10]
The acute angles of a right triangle are complementary, so
  α + β = 90
  (5x/3 +20) + (2x/3) + 14) = 90 . . . . . . substitute given values
  7x/3 +34 = 90 . . . . . . . . . . . . . . . . . . . collect terms
  7x/3 = 56 . . . . . . . . . . . . . . . . . . . . . . . subtract 34
  x = (3/7)*56 = 24 . . . . . . . . . . . . . . . . . multiply by 3/7

Then the value of α is ...
  α = 5*24/3 +20 = 60
7 0
3 years ago
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To win the carnival game Ring Ding, you must toss a wooden ring onto a grid of rectangles so that it lands without touching any
guapka [62]

Answer:

5in x 10in

Step-by-step explanation:

Solution:

1.  You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.  

 

2.  For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

                               L = (x - 2(1.5)) = x - 3

                              w = (2x - 2(1.5)) = 2x-3.

 

3.  Now, we will set up and solve our geometric probability equation.  The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

 

                                (2x-3)*(x-3)/(2x^2) = .28

                                2x^2 - 9x + 9 = .56x^2

                                1.44x^2 - 9x + 9 = 0

 

4 .  Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5.  However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

 

5. As a result, the dimensions of the rectangles are 5in x 10in.  

6 0
3 years ago
The Andrews Family bought 2 adult tickets,3 children tickets,and 1 senior
kirill [66]

Answer:

$26.00

Step-by-step explanation:

6 0
3 years ago
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