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Ne4ueva [31]
2 years ago
8

How many terms are in the expression? 9a + 6b + 3c + 1 A) 1 B) 2 C) 3 D) 4

Mathematics
1 answer:
Kaylis [27]2 years ago
7 0

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

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This trapezium is drawn on a centimetre grid <br> Find the area of the trapezium
MissTica

Answer:

21 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (5 + 9)×3/2

= 14×3/2

= 7×3

= 21 cm²

7 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
Which of the following is a solution to the inequality graphed below? Select all that apply.
nydimaria [60]
(-2,-1)  and (1,-5) is the answer

4 0
3 years ago
Read 2 more answers
Here's yet another coordinates problem! Please solve ASAP if you can. Thank you all very much! :)
Olegator [25]
(0,0) is the cost of 0 bags of peanuts. This is because the x-axis is labeled "Bags of Peanuts", and an x-value of 0 implies 0 bags of peanuts.
7 0
3 years ago
During a sale, a shopkeeper reduced the prices of all his goods by 25%.
beks73 [17]

Answer:

₹1,102.5

Step-by-step explanation:

Price of the shoe before the 25% off sale = ₹1350

Price of the shoes after 25% off sale = ₹1350- 25%

= ₹1,012.5

7 0
3 years ago
Read 2 more answers
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