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Nina [5.8K]
4 years ago
10

Simplify 10 (3n+2+10n)

Mathematics
2 answers:
stiks02 [169]4 years ago
7 0
10(3n) is 30n 
10(2) is 20
10(10n) is 100n
The answer is 130n + 20
Nastasia [14]4 years ago
4 0
10*3n=30n
10*2=20
10*10n=100n
100n+30n=130n
130n+20
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A jewelry store has 311.75 ounces of 14-carat gold in stock.
WARRIOR [948]

Answer:

\boxed{\text{(a) 86 necklaces; (b) \$2220}}

Step-by-step explanation:

(a) Number of necklaces

3⁵/₈ = 3.625

\text{No. of necklaces} = 311.75\text{ oz} \times \dfrac{\text{1 necklace}}{3.625\text{ oz}} = \textbf{ 86 necklaces}\\\\\text{You can make } \boxed{\textbf{86 necklaces}} \text{ from 311.75 oz of 14K gold}

(b) Value of gold in each necklace

There are 3.625 oz of 14K gold in each necklace. Pure gold is 24K.

\text{Mass of pure gold} = \text{3.625 oz} \times \dfrac{\text{14K}}{\text{24K}} = \text{2.1146 oz}

Pure 24K gold is worth $1050/oz.

\text{Value of pure gold} = \text{2.1146 oz} \times \dfrac{\text{\$1050}}{\text{1 oz}} = \textbf{\$2220}\\\\\text{The value of the gold in each necklace is } \boxed{\textbf{\$2220}}

4 0
3 years ago
8) If a board that is 4.5 feet long is cut into 0.75 foot pieces, how many pieces will there be?
ruslelena [56]

Answer:

its simple just divide the value whole piece by the value of Cutted pieces

Step-by-step explanation:

we get

4.5 ÷ 0.75

= 6

means there are 6 pieces

hope it helps

have a nice day : )

7 0
3 years ago
What is the solution set of –|–x| = –12? A. no solution B. {–12} C. {12} D. {–12, 12}
Zigmanuir [339]
Multiply both sides by -1
|-x|=12

-x=12
x=-12
-x=-12
x=12

Final answer: D
7 0
3 years ago
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musickatia [10]

Step-by-step explanation:

It is so simple Hope u understand

4 0
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Need some help with these last few problems Thank you for your time and help
konstantin123 [22]
(1) On the unit circle, you have \sin x=-1 when x=-\dfrac\pi2, and more generally this is the case whenever you perform a full rotation about the origin. This means \sin x=-1 any time x=-\dfrac\pi2+2n\pi where n is any integer.

(2) When x=-90^\circ, you have y=f(-90^\circ)=\cos(-90^\circ)=0.

(3) When x=-45^\circ, you have y=f(-45^\circ)=\tan(-45^\circ)=-1.

(4) The law of sines says that

\dfrac{12}{\sin40^\circ}=\dfrac{e}{\sin55^\circ}\implies e\approx15.292

(5) The law of cosines says that

b^2=6.5^2+8^2-2\times6.5\times8\cos37^\circ\implies b\approx4.816
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3 years ago
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