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dolphi86 [110]
3 years ago
10

What is the answer to 16a5 b3/8ab ?

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

When we are dividing exponents, there is this rule:

\frac{a^n}{a^m}=a^{(n-m)}

So, in our case we have this:

\frac{16a^5b^3}{8ab} = \frac{16}{8}a^{(5-1)}b^{(3-1)}=2a^4b^2

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Of the 32 teachers at Devon's high school, 22 are female. What is the ratio of the number of male teachers to the total number o
stich3 [128]

Answer:

10:32

Step-by-step explanation:

32-22=10 male teachers

6 0
3 years ago
Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?
DochEvi [55]

Answer:

R = 6

Step-by-step explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is \frac{x}{a} +\frac{y}{b} =1

Now convert the above given line to the standard form

Divide the line by 30 we get

\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}

\frac{x}{15} -\frac{y}{\frac{30}{R} } =1

Here the y-intercept is 30/R

Given y-intercept = 5

\frac{30}{R} =5

R = 6

4 0
3 years ago
Kalynn plans to cut an 8 foot sandwich into pieces that are 1/2 foot long. How many pieces of the sandwich will she have after i
Kazeer [188]

Answer: 16

You divide 8 by 1/2 and you get 16 pieces

3 0
3 years ago
Heather buys a dog bowl priced at $8. If the sales tax is 10%, how much tax will Heather<br> pay?
Fantom [35]

Answer:

I think the answer is 2 dollars

Step-by-step explanation:

4 0
3 years ago
Find missing angle.
Vsevolod [243]
I don’t really know exactly to what degree you need to put in your solution. But I rounded to the nearest tenth degree.
A = 112 degrees
B= 28 degrees (180-112-40 bc all sides of a triangle must equal 180)
C= 40
a= 27.6 (this is the side opposite of angle A)
b= 14 (side opposite b)
c= 19.2 (side opposite c)

HOW TO SOLVE:
c= law of sines, so c/sin(40) = 14/sin(28), multiply both sides by sin(40) so c can be isolated and solved for. c = 14sin(40)/sin(28). Plug into calculator then get answer. c is approximately 19.2.
a = law of sines again, so a/sin(112) = 14/sin(28). Multiply both sides again by sin(112) then solve. a = 14sin(112)/sin(28). Calculator again. a is around 27.6
7 0
3 years ago
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