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inna [77]
3 years ago
14

A and b are positive integers and a–b = 3. Evaluate the following:

Mathematics
1 answer:
yulyashka [42]3 years ago
6 0

1/27

1/27

125

Step-by-step explanation:

Given that,

a - b = 3

9^(1/2b) /3^a = 3^(2/2b) /3^a

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)

= 3^b/3^a

= 3^(b-a)

= 3^(-3)

= 27^(-1)

= 1/27

125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)

= 5^a/5^b

= 5^(a- b)

= 5^3

= 125

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Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr
sergiy2304 [10]

Answer:

Raised by $2.25/month

Step-by-step explanation:

9000/1000=9

28-25=3

3*9=27

27/12=$2.25

7 0
3 years ago
Gerri spends 1/21 of her money on pencils and 2/21 on paper. What fraction of her money does she spend. Give the answer in simpl
BigorU [14]

Answer:

Gerri spends 1/7 (A).

Step-by-step explanation:

If Gerri spends 1/21 of her money on pencils and 2/21 of her money on paper, adding these two fractions together will give us the total fraction of her money that she spent.  Since 1/21 and 2/21 have the same denominator, we can add the numerators to get 3/21.  However, fractions must always be in simplest form, meaning if the numerator (top number) and denominator (bottom number) can both be divided evenly by the same factor, then the fraction can be simplied to lower numbers.  In this case the number 3 and the number 21 can both be divided evenly by 3:  (3÷3)/21÷3) = 1/7.

3 0
3 years ago
Read 2 more answers
Can someone help out I’m really slow at this and don’t understand it please:)
myrzilka [38]

Answer:

2) 160

3) 320

Step-by-step explanation:

you want to find out the slope so use the formula

y₂-y₁/ x₂-x₁ and plug in the numbers

320-80=240

4-1=3

divide 240/3= 80

multiply 80 * (x) so if we try and find x=2 it would be 160

80 * 3 = 240

check your work by multiplying 80 and 4 (320) which is your y value! hope this helps!

7 0
3 years ago
A line that includes the point (0,0) has a slope of -9. What is its equation in slope-intercept
ikadub [295]
Y=-9x because y=mx+b is the formula so plug in the slope, m(-9) and the x-intercept, x(0)
3 0
2 years ago
Help me with this please
lutik1710 [3]
<h3>Answer:</h3>

4.42×10^34 molecules/min

<h3>Step-by-step explanation:</h3>

Multiply the various factors, along with the unit conversion (60 s/min).

... (3.35×10^25 molecules/L) × (2.2×10^7 L/s) × (60 s/min)

... = (3.35×2.2×60)×10^(25+7) molecules/min

... = 442.2×10^32 molecules/min

... ≈ 4.42×10^34 molecules/min

_____

<em>Comment on scientific notation problems</em>

Your scientific or graphing calculator will allow you to enter and display numbers in scientific notation.

7 0
3 years ago
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