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Mrrafil [7]
3 years ago
5

Thompson Alberts purchased a pack of 12 pencils for $4.99. What is the unit price per pencil rounded to the nearest tenth of a c

ent?
Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0

divide total coast by number of pieces

4.99/12 = 0.415833

rounded to 0.42

42 cents each

andre [41]3 years ago
4 0

$0.416

This is the correct answer for primavera

$4.99/12=0.4158 Rounded to the nearest tenth of a cent is $0.416

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In ∆ABC, the median AM (M ∈ BC ) is perpendicular to the angle bisector BK (K ∈ AC ). Find AB, if BC = 12 in. Show with work
otez555 [7]

Call the point where BK intersects AM point X. BX is the altitude of ∆ABM, and it is also the angle bisector of angle ∠ABM. Hence ∆ABM is isosceles, and AB ≅ MB.

M is the midpoint of BC, which is 12 inches long. Hence MB is half that length, or 6 inches.

Since AB is the same length as MB, which is 6 inches, ...

... AB is 6 inches.

3 0
3 years ago
For what values of a and b are x+1 and x+2 factors of x3 – ax2 – bx –8? Write down the other factor.
emmainna [20.7K]
<h2>For a = 1 and b = 10 x+1 and x+2 factors of  x³-ax²-bx-8 = 0</h2><h2>Other factor is (x-4)</h2>

Step-by-step explanation:

We have

                 x³-ax²-bx-8 = 0

Its factors are x+1 and x+2

That is x = -1 and x = -2 are its roots

Substituting x = -1

               (-1)³-a(-1)²-b(-1)-8 = 0

                -1 - a + b - 8 = 0

                      b - a = 9 ---------------------eqn 1

Substituting x = -2

               (-2)³-a(-2)²-b(-2)-8 = 0

                -8 - 4a + 2b - 8 = 0

                      2b - 4a = 16 ---------------------eqn 2

eqn 1 x -2

                      -2b + 2a = -18 ---------------------eqn 3

eqn 2 + eqn 3

                      -2a = -2

                          a = 1

Substituting in eqn 1

                        b - 1 = 9

                         b = 10

For a = 1 and b = 10,  x+1 and x+2 factors of  x³-ax²-bx-8 = 0

The equation is  x³-x²-10x-8 = 0

Dividing with x + 1 we will get

                   x³-x²-10x-8 = (x+1)(x²-2x-8)

Dividing (x²-2x-8) with x + 2 we will get

                  x²-2x-8 = (x+2)(x-4)

So we have

               x³-x²-10x-8 = (x+1)(x+2)(x-4)

Other factor is (x-4)

8 0
3 years ago
What is the equation of the graph
oksian1 [2.3K]
The equation is y= x-3
3 0
2 years ago
Use a model to solve. An average orange weighs 3/5 of a pound. Based on this average, how many oranges are in six pounds of oran
AnnyKZ [126]
3/5x=6,
x=10 oranges
7 0
3 years ago
Solve by factoring : x^2-5x-36=0
il63 [147K]

Answer:

-9 and +4 are the factors

Step-by-step explanation:

-9 times +4 is -36 and if you add +4 to -9, you get -5.

After this your function will look like this:

x^2-9x+4x-36

and then:

x(x-9)+4(x-9)

so the answer is:

(x-9)(x+4)

3 0
2 years ago
Read 2 more answers
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