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dangina [55]
3 years ago
13

Nick has four pieces of licorice that are 1 2/3 inches long each. What is the total length of licorice?

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

8 inches

Step-by-step explanation:

1 2/3 is the same as 6/3

6/3 times 4 pieces = 24/3

24/3 = 8

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Write the five term sequence that would represent each recursive rule f(x) = f(x-1) -7; f(2) = 12
barxatty [35]

<u>Answer: </u>

Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

<u> Solution: </u>

Need to find the five terms of the sequence.

Given recursive rule is f(x) = f(x-1) -7

Substituting x = 2 , f(2) = f(2-1)-7

= f(2) = f(1) – 7    ------(1)

Also given that f(2) = 12.  

On substituting the given value of f(2) in eq (1) we get

12 = f(1) – 7

f(1) = 12 + 7 = 19

Using given recursive rule and given value of f(2) calculating f(3)

Substituting x = 3 ,  

f(3) = f(3-1) – 7  

= f(2) – 7  

= 12 – 7  

= 5

Using given recursive rule and calculated  value of f(3) calculating f(4)

Substituting x = 4,  

f(4) = f(4-1) – 7  

= f(3) – 7  

= 5– 7  

= -2

Using given recursive rule and calculated  value of f(4) calculating f(5)

Substituting x = 5,  

f(5) = f(5-1) – 7  

= f(4) – 7  

= -2– 7  

= -9

Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .

8 0
3 years ago
......ssssssssssssssssssssssssssssssssssssshhhhhh
Darina [25.2K]

Hey there! I'm happy to help!

Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.

Here is what Sandy should have done.

STEP 1: 6·4+2÷2-7

STEP 2: 24+1-7

STEP 3: 25-7

STEP 4: 18

I hope that this helps! Have a wonderful day! :D

3 0
3 years ago
Read 2 more answers
Using the quadratic formula to solve 11x^2-4x=1 what are the values of x ?
Kaylis [27]

The answer should be the 1st one.

Just use the quadratic formula and plug in the necessary numbers when requested and work from there.

8 0
3 years ago
The area of cross section of a prism is 45cm² and its height is,10cm. Find its volume​
mrs_skeptik [129]

Answer:

The Volume of triangular prism

                     V = 450 cm³

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given The area of cross section of a prism A = 45cm²

and     height (h) = 10 cm

The Volume of triangular prism

                V = ( Base area X Height )

                    =  45 X 10

                    = 450 cm³

The Volume of triangular prism

                     V = 450 cm³

6 0
3 years ago
Two trains leave Cleveland at the same time. One train travels east and the other travels west. The speed of the westbound train
OlgaM077 [116]

Answer:

The eastbound train travels at 92 mph and the westbound train travels at 96 mph.

Step-by-step explanation:

We know that Velocity = distance / time

If the eastbound train travels at x miles per hour, the westbound train travels at x + 4 mph.

After 3.5 hours, they are 658 miles apart. If we solve for distance the formula given above we have: Distance = velocity x time. We have that the total distance between both trains is 658 miles.

Substituting the values of the problem and solving for x we have

658 = 3.5x+3.5(x+4)\\658=3.5x+3.5x+14\\644=7x\\92=x

Thus, the eastbound train travels at 92 mph and the westbound train travels at 96 mph.

6 0
3 years ago
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