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3 years ago

Lena has 32 pens. of the pens are blue. How many blue pens does Lena have?

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

7 0

you need more info to answer this question

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Line AC and line DB intersect at point P. Solve for angle BPQ.

taurus [48]

Answer:

Angle BPQ = 64°

Step-by-step explanation:

4x + 12 +2x = 90

6x + 12 = 90

- 12 -12

6x = 78

x = 13°

BPQ = ((4(13) + 12)°

(52 + 12)°

64°

8 0

2 years ago

How can recycling materials lead to environmental sustainability?

ASHA 777 [7]

Answer:

Recycling materials helps decrease the amount of new materials taken from the environment.

Step-by-step explanation:

Recycling materials helps decrease the amount of new materials taken from the environment.

hello my name is soee dude that just hello how do you do hehehhehhhhhhhhhhhhhhhhhhhhehhhehehheheheheheheheheh

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2 years ago

Which Factors would simplify in this expression?

kolbaska11 [484]

Answer:

(x+6)

Step-by-step explanation:

because you have ( x+6) on bottom of the first equation and on the top on the second equation

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3 years ago

1.- OBTENER LA ECUACION DE LA CIRCUNFERENCIA, QUE PASA POR EL PUNTO,

GrogVix [38]

Answer:

i dont speak that language l m a o

Step-by-step explanation:

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3 years ago

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago