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Romashka [77]
4 years ago
10

A rectangle has length (3x-8) and width (2x-7) cm .Write down and simplify an expression for the perimeter of the rectangle. So

show me the answer and its working out.
Mathematics
1 answer:
Verizon [17]4 years ago
3 0

Answer:

The perimeter of the rectangle is equal to (10x-30)\ cm

Step-by-step explanation:

Let

L-----> the length of the rectangle

W ----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

P=2(L+W)

we have

L=(3x-8)\ cm\\W=(2x-7)\ cm

substitute

P=2((3x-8)+(2x-7))

P=2(5x-15)

P=(10x-30)\ cm

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Disuss the difference between fixed expenses and variable expenses as they relate to a budget?
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The difference between fixed expenses and variable expenses is that fixed expenses do not change, regardless of how many items are produced. Variable expenses change based on the number of items produced.

An example of a fixed expense is the rent. The rent is always the same amount, regardless of production.

Materials would be a variable expense. You need enough material to make each item, so the more items you produce, the more material you need.

6 0
4 years ago
What is the value of x
Kisachek [45]

Answer:

x=98

Step-by-step explanation:

Angles in a triangle add up to 180°

180-45-53

=82

Angles in a straight line add up to 180°

180-82

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4 0
4 years ago
Read 2 more answers
I don't know how to do this
maxonik [38]
This is the concept of sequences and series. To solve the question we proceed as follows:
2] T=-4n-3
to get the 11th term we substitute n=11 in the expression and simplify. Thus, plugging in n=11 we obtain:
T=-4(11)-3
T=-44-3
T=-47
thus the 11th term is -47

3] General term is T=n²-1. The 7th term will be evaluated as above:
plug in n=7 in the expression and simplify:
T7=7²-1
T7=49-1
T7=48
thus the 11th term is 48

4] General sequence is T=1/3n². The term will be evaluated as follows:
plug in n=3 in the expression and simplify:
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7 0
3 years ago
Simple questions points!!! :)<br><br> Will also give you brainliest <br><br> Answer questions 3-6
olasank [31]

Answer:

3. aₙ = -9n +7

4. d = -2.4

5. a₆ = 45

6. aₙ = 133 + 4n

Step-by-step explanation:

Question 3.

a₁ = -2; aₙ = aₙ₋₁ - 9

The explicit rule for an arithmetic sequence is

        aₙ = a₁ + d(n -1 )

         d = aₙ - aₙ₋₁

        aₙ = aₙ₋₁ - 9     Subtract aₙ₋₁ from each side

aₙ - aₙ₋₁ = -9

         d = -9

For this sequence,  

aₙ = -2 – 9(n - 1)     Remove parentheses

aₙ = -2 - 9n + 9      Combine like terms

aₙ = -9n + 7

===============

Question 4

d = aₙ - aₙ₋₁

a₂ - a₁ = 6.2 – 8.6 = -2.4

a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.

The common difference is

d = -2.4

===============

Question 5

aₙ = 8n – 3     Substitute the value of n

a₆ = 8×6 – 3

a₆ = 48 - 3

a₆ = 45

============

Question 6

a₁ = 137; d = 4

aₙ = a₁ + d(n -1 )

aₙ = 137 + 4(n -1 )

aₙ = 137 + 4n -4

aₙ = 133 + 4n

3 0
3 years ago
Lauren earn to 4.50 an hour babysitting how much will she earn in 3.5 hours
fredd [130]
$4.50 x 3.5 = $15.75.

Hope This Helps You!
Good Luck Studying :)
5 0
4 years ago
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