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LiRa [457]
3 years ago
6

Please solve for n and show your work.

\frac{1}{3}" alt=" \frac{1}{3}" align="absmiddle" class="latex-formula">(n+15)=-2
Mathematics
1 answer:
k0ka [10]3 years ago
3 0
\frac{1}{3} (n + 15) = -2

First, replace the numerator with the parentheses.
\frac{n+15}{3} =-2
Second, multiply both sides by 3.
n + 15 = -2 * 3
Third, multiply 2 × 3 to get 6.
n + 15 = -6
Fourth, take away 15 from each side.
n = -6 - 15
Fifth, simplify -6 - 15 to get -21.
n = -21

Answer: n = -21

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two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the larger circ
Bond [772]
the complete question in the attached figure

Let
A°-----------> <span>the same central angle

</span><span>For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360</span>°<span> (full circle) has a length of------------> 75.36 m 
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A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
length of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m

360° (full circle) has a length of------------> 47.1 m 
 76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle

the answer is
the length arc of the smaller circle is 10 m

3 0
3 years ago
A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr
kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

23\cdot 23\cdot 23\cdot 6\cdot 6=438012

Therefore, we can choose coupon codes in 438,012 ways.

3 0
3 years ago
If there were 81 rows of green apple and each tree produced 542 apples how many green apples would there be in all
Anna35 [415]
81 apple trees
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6 0
3 years ago
Read 2 more answers
Paula and Kawai shared $312 in the ratio of 6:7. How much money<br> did each person get?
Maslowich

Answer:

Paula get \$144 and Kawai get \$168.

Step-by-step explanation:

Given: Paula and Kawai shared \$312 in the ratio of 6:7.

To find: How much money  did each person get?

Solution:

We have,

Paula and Kawai shared \$312 in the ratio of 6:7.

So, let Paula get \$6x and Kawai get \$7x.

As per the question,

6x+7x=312

\implies13x=312

\implies x=\frac{312}{13} =24

Therefore, Paula get 6\times 24=\$144, and Kawai get 7\times 24=\$168.

Hence, Paula get \$144 and Kawai get \$168.

6 0
3 years ago
Math <br><br><br> pls help!!<br><br><br><br><br> larger number?<br><br> smaller number?
Georgia [21]

Answer:

larger number  = 35

smaller number = 26

Step-by-step explanation:

let larger number be x

and another ( x-9 )

so, x+x-9=61

2x = 70

x = 35

smaller number = 35 - 9

= 26

5 0
3 years ago
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