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3 years ago

6

B. Mason put sticky notes on some pages of his math book. The page numbers form this sequence: 3, 5, 8, 13, 21, 34, ... Describe

the rule for the sequence.

1 answer:

laiz [17]3 years ago

3 0

Answer:

It goes up one number counting each time

Step-by-step explanation:

3 4 5 2 one cap

5 8 13 two cap

You might be interested in

Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

4 years ago

Carlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?

Vesna [10]

Answer:

C. 3(4) + 5(4)³ ≠ 8(4)⁴

Step-by-step explanation:

3y + 5y³ is NOT the same as 8y⁴

Assume y = 4

Not equal to sign ≠

3y + 5y³ ≠ 8y⁴

3(4) + 5(4)³ ≠ 8(4)⁴

12 + 20³ ≠ 32⁴

12 + 8000 ≠ 1,048,576

8012 ≠ 1,048,576

The statement which shows that 3y + 5y³ is NOT the same as 8y⁴ is 3(4) + 5(4)³ ≠ 8(4)⁴

4 0

3 years ago

Find the side lengths of the triangle in this picture.

ozzi

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

$3\cdot x + 14$

Long leg

$3\cdot x + 13$

Short leg

$x$

By the Pythagoric Theorem, we have the following expression:

$(3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2}$ (1)

$9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169$

$9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169$

$x^{2} -6\cdot x -27 = 0$

$(x-9)\cdot (x+3) = 0$

As length is a positive variable by nature, then the only possible solution is $x = 9$ . Lastly, the side lengths of the right triangle are:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

8 0

3 years ago

Does someone mind helping me with this question? Thank you!

Soloha48 [4]

Answer: 640

Step-by-step explanation:

The scale factor is 20/5=4, so the ratio of the areas is the square of this, or 16.

Thus, the area of ABCD is 40(16)=640.

4 0

2 years ago

Rectangle, Square, or Rhombus?

saveliy_v [14]

Answer:

maybe rhombus

Step-by-step explanation:

don't take my word for it

4 0

3 years ago

Read 2 more answers