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spin [16.1K]
3 years ago
9

19. Kara's backpacki contains 4 boxes of pencils. Each box containsp pencils. Kara's backpack also contains 6 pens. Write three

equivalent expressions for the total number of pencils and pens in Kara's backpack.
Mathematics
1 answer:
vitfil [10]3 years ago
5 0
Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.

1. 4p + 6

2. p+ p + p + p + 6

3. 6 + 4(p)

Each of these has four groups of p +6 represented.
You might be interested in
Find "both" answers
Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

  • (2, 10)
  • (3, 13)

Slope = m = y₂-y₁ / x₂-x₁

                 = (13-10) / (3-2)

                 = 3 / 1

                 = 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

                                                                         = 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3,  d=16-13=3,  d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

  • Slope =  3
  • The common difference between consecutive terms of the arithmetic sequence = 3
  • The difference between the terms a₂ and a₄ = 6
  • The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0
2 years ago
Sue has an annual interest income of $3390 from two investments. She has $10,000 more invested at 8% than she has at 6%. Find th
olchik [2.2K]

Answer:

  $18500 at 6% and $28500 at 8%

Step-by-step explanation:

Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:

  x·6% +(x+10000)·8% = 3390

  0.14x + 800 = 3390 . . . . . . . . collect terms

  0.14x = 2590 . . . . . . . . . . . . . .subtract 800

  2590/0.14 = x = 18500 . . . . . divide by the coefficient of x

Sue has invested $18500 at 6% and $28500 at 8%.

7 0
3 years ago
Need help with this problem Ty
Liono4ka [1.6K]
Sin(pi/6) would be appropriate as that is 1/2
7 0
3 years ago
How do you write -44.09 as a fraction?
julsineya [31]

Answer:

-4409/100

bcoz there is decimal next to 2 numbers

4 0
3 years ago
Read 2 more answers
Jason has $800 more than Paul. Alex has $150 less than Jason. How much more does Alex have than Paul?
jolli1 [7]

Hey there!!

Jason = 800 + Paul

Alex = Jason - 150

How much more does Alex have the Paul?

Let's take the equation of Alex

... Alex = Jason - 150

... Add 150 on both sides

... Alex + 150 = Jason

Now we have the equation for Jason,

... Jason = 800 + Paul , and we got Alex + 150 = Jason

... Now let's plug in the values

... Alex + 150 = 800 + Paul

Subtract 150 on both sides...

Alex = 800 - 150 + Paul

... Alex = 650 + Paul

Now we got the answer for our question :

The answer - Alex has $650 than Paul.

Hope my answer helps!!


4 0
3 years ago
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