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Roman55 [17]
3 years ago
14

St. Patrick's Day Problem Solving

Mathematics
1 answer:
IgorC [24]3 years ago
4 0
Maybe the answer 3.5 I don’t know
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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
2/9+5/6 in simplest form
never [62]
2/9+5/6 in simplest form is 1 1/18
Hope this helped :P
6 0
2 years ago
Read 2 more answers
How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover
GREYUIT [131]

Answer:

42 x27  //// 1134 is the area

Step-by-step explanation:

1134/ 200= 5.67

You have to round up because you can’t get .67 of a paint bucket So you would have to round it out. <em>About 6 buckets.</em>

6 0
2 years ago
The drama club collected $160 from ticket sales for the spring play. They need to collect at least $400 to pay for new lighting
valentina_108 [34]
We assume all money is spent on new lighting. Since they currently have $160 and need $400 we can subtract what they currently have from what they need.

$400-$160 = $240

Since we know the price of the ticket and now know they need $240 we can divide our $240 with the price of each ticket ($3)

$240/$3 = 80

So the drama club has to sell 80 more tickets in order to afford new lighting
6 0
2 years ago
Fill in the missing terms for the geometric sequence
expeople1 [14]

Step-by-step explanation:

<em>1</em><em>1</em><em>/</em><em>2</em><em>,</em><em> </em>-11, 22, <em>-</em><em>4</em><em>4</em><em>,</em><em> </em>88, -176

common ratio : 22/(-11) = -2

4 0
3 years ago
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