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2 years ago

The sum of three consecutive numbers is 96. What are the smallest of these numbers? Write and Solve an Equation.

Mathematics

2 answers:

zlopas [31]2 years ago

5 0

Answer:

Step-by-step explanation:

Remark

The easy way to set this up is to make the smallest number x - 1. You will see why in a moment. It cuts down on one step)

Equation

(x - 1) + x + (x + 1) = 96 Remove the brackets

Solution

x - 1 + x + x + 1 = 96 Combine like terms

3x = 96 Divide by 3

x = 32

Note: that is not the smallest number. Remember, the smallest number is x - 1

So the smallest number is 31

vichka [17]2 years ago

4 0

Answer:

30+32+34

Step-by-step explanation:

so 30 would be the smallest number. Hope this helps, have a nice day!

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A sequence has an initial value (I) of -17 and its fourth term (a4) is 35. What is its general equation? Its 14th term?

aleksley [76]

Answer:

The sequence is an Arthemtic Progression

An=A1+(n-1)d

A1 is first term, An is nth term, n is number of term, and d is common difference

therefore

A4=35, A1= -17

A4=A1+(4-1)d

35= -17+3d

35+17=3d

52=3d

52/3=3d/3

14=d

common diffrence(d)=14

The general solution is given by

An= -17+(n-1)14

An= -17+14n-14

An= -31+14n

An= 14n-31

A14 term, means n=14

From An=A1+(n-1)d

A14= -17+(14-1)14

= -17+(13×14)

= -17+182

= 165.

Therfore, the 14th term is 165.

2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?

solution

common ratio(r)=4/5

eighth term(G8)=393216/3125

From Gn= G1r^(n-1)

G8 means n=8

G8=G1r^(n-1)

393216/3125=G1(4/5)^(8-1)

393216/3125=G1(4/5)^7

G1=(393216/3125)/(4/5)^7

G1=600

The first term is given by G1=600

Therefore

The General equation is given by

The General equation is given by Gn= 600(4/5)^(n-1)

3rd term (G3)

G3= G1(4/5)^(3-1) where n=3,

=600(4/5)^2

=600(16/25)

=384

Therefore, the 3rd term is given by G3= 384.

I have made some Corrections i messed up somewhere.

7 0

2 years ago

I need help I’ve tried all day

dmitriy555 [2]

Answer:

184

Step-by-step explanation:

bottom rectangle area = 16 x 10 = 160

middle rectangle area= 3 x 4 = 12

Top triangle= 1/2(bh) = 8 x 3 = 24 (1/2) = 12

160+ 12 +12= 184

8 0

2 years ago

I need help pleassee

AnnyKZ [126]

I'm not sure but I think it is the first one

3 0

2 years ago

Read 2 more answers

A pair of pants was 40% off the original price. The sale resulted in a $36 discount. What was the original price before the sale

Mama L [17]

Answer:

$90.00

Step-by-step explanation:

40% of What is 36?

40/4 = 10 (10%)

36/4 = 9 (9 is 10% of the answer we are looking for)

Multiply both answers (9 and 10) by each other.

You get 90

8 0

2 years ago

Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each. How

scZoUnD [109]

Answer:

$26.80

Step-by-step explanation:

multiply 1.79 by 5 and you get 8.95

multiply 1.19 by 15 now because there are 15 uncounted bags left and you get 17.85

add together and you get 26.8. she spent 26.8 dollars on candy

4 0

2 years ago