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Anika [276]
3 years ago
5

Beaded bracelets cost $2.25 each to make. how much would it cost to make 61 bracelets?​

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0

Answer:

$137.25

Step-by-step explanation:

2.25 * 61 = 137.25

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Your answer would be "D", because when finding the GCF of a term, you want to take the most out of it. Following the procedure of D, finding the greatest shared factor of 10 and 15 and the greatest shared power between exponent 2 and exponent 3, would allow you to find the GCF.
8 0
3 years ago
The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?
pashok25 [27]

Answer:

Yes, it is true that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1.

Step-by-step explanation:

Let us try to factorize x^4+3x^3-2x^2-3x+1

x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3

Let us try to make a whole square of the given terms:

\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\

--------------

Formula used above:

a^{2} -2 \times a \times b +b^{2}  = (a-b)^2

In the above equation, we had a = x, b = 1.

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Further solving the above equation, taking 3x common out of 3x^3-3x

\Rightarrow (x^2-1)^2+3x(x^2-1)\\

Taking (x^{2} -1) common out of the above term:

\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)

So, the two factors are (x^2-1)\ and\ (x^2+3x-1).

\therefore The statement that x^2+3x-1  is a factor of x^4+3x^3-2x^2-3x+1 is <em>True.</em>

7 0
2 years ago
Simplify<br> Rewrite the expression in the form 6^n
prisoha [69]

Answer:

6^{3}

Step-by-step explanation:

6^4/6^1

6^(4-1)

=6^3

6 0
2 years ago
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In the accompanying diagram, line n is parallel to
mote1985 [20]
Here too same procedure
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4 0
2 years ago
You are using extension ladders to paint a chimney that is 33 feet tall. The length of an extension ladder ranges in 1 foot inte
Alexus [3.1K]

Answer:

The ladder has to be 65 feet long to the nearest foot.

Step-by-step explanation:

The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.

Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.

Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.

Therefore, using trigonometry we can write,

\sin 75.5 ^{\circ} = \frac{\textrm {The height of the chimney from the ground}}{\textrm {Length of the ladder}} = \frac{63}{\textrm {Length of the ladder}}

⇒ The length of the ladder = 65 feet.

Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)

5 0
3 years ago
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