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Juliette [100K]
3 years ago
11

A 5 pound bag of apples costs 4.50 and an 8 pound bag of the same type of apples costs 7.52 greg found the unit price which is t

he constant of proportionality between cost and weight for each bag of apples . What is the difference in the unit prices a. 0.04 per pound b. 0.12 per pound c. 0.16 per pound d. 0.21 per pound
Mathematics
1 answer:
irga5000 [103]3 years ago
6 0

Answer: 0.04 per pound

Step-by-step explanation:

A 5 pound bag of apples costs 4.50.

The unit price will be 4.50 divided by 5 which will be:

4.50 ÷ 5 = 0.9

The unit price is 0.9 per pound

A 8 pound bag of the same type of apples costs 7.52.

The unit price will be 7.52 divided by 8 which will give:

7.52 ÷ 8 = 0.94

The unit price is 0.94 per pound

The difference in the unit prices will be the subtraction of 0.90 from 0.94.

0.94 - 0.90 = 0.04

The difference in the unit prices is 0.04 per pound.

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
3 years ago
Systems By Graphing - Solve All Correctly For a Thanks, 5-Stars, And A Brianliest!
BartSMP [9]

Answer:

Step-by-step explanation:

Amari= Graph C and Solution is (-6,-2)

Bella= Graph A and Solution is (3,4)

Carl= Graph B and Solution is (0,-3)

0 solutions because the slopes are the same. The lines will never cross because they are at the exact same angle.

No, I do not agree with Joey because the lines have different slopes and will lead to the system cross which is the solution.

1st graph: y=2x-1 and y=7 solution #1= (4,7)

2nd graph: y=-2x-3 and y=1/2x solution #2= (-2,1)

3rd graph: y=x and y= -1/5+6 solution #3= (5,5)

I had this exact same assignment a few months ago, my teacher didn't use the 2nd slide but I had the 1st and 3rd slide so this should help!

4 0
3 years ago
On Reese’s most recent phone bill bill, 80% of the minutes she used were calling her mother. If she talked to her mother for 348
dexar [7]
She used 278.4 minutes
5 0
3 years ago
Using the order of operations, what is the last calculation that should be done to evaluate
mel-nik [20]

200-(-2) is actually 200-1(-2)

So thats multiplication

Then its 200+2

So addition is the last calculation to be done.

7 0
3 years ago
Read 2 more answers
, list the first five terms of each sequence, and identify them as arithmetic or geometric.
Serhud [2]

Answer:

The first 5 terms are -6,-25,-44,-63 and -82

The sequence is arithmetic

Step-by-step explanation:

Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6

A(1) = -6

A(2) = A(1) − 19 = -6 - 19 = -25

A(3) = A(2) − 19 = -25 - 19 = -44

A(4) = A(3) − 19 = -44 - 19 = -63

A(5) = A(4) − 19 = -63 - 19 = -82

So the first 5 terms are -6,-25,-44,-63 and -82

If they are in arithmetic the common difference will be same, if geometric common ratio will be same.

Let us check common difference,

                       -25-(-6) = -19

                       -44-(-25) = -19

                       -63-(-44) = -19

                       -82-(-63) = -19

So common difference is same, so the sequence is arithmetic.

3 0
3 years ago
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