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sveta [45]
3 years ago
6

Find the ratio a:b, if it is given that 6a−3b=5b

Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

3a : 4b

Step-by-step explanation:

3b + 5b = 8b

6a=8b

Divide both by two because that is the largest number they have in common you can multiply them by. (That gives us a whole number)

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Negative exponents in denominators can be evaluated using StartFraction 1 Over b Superscript negative and EndFraction nbsp equal
skelet666 [1.2K]

Answer:

b Superscript positive

Step-by-step explanation:

Negative exponents in the denominators can be evaluated by moving the function from the denominator to the numerator and changing the power from negative to the positive.

We have

1/b⁻² = b²

Moving the function with a power from denominator to numerator or from numerator to denominator changes the sign of the power. It is not equal to zero.

This is the property of exponents.

3 0
3 years ago
Before being simplified, the instructions for computing income tax in Country R were to add 2 percent of one’s annual income to
Vedmedyk [2.9K]

Answer:

Option C)

50 + \dfrac{I}{40}          

Step-by-step explanation:

We are given the following in the question:

I is the annual income of a person in a country R

2 percent of one’s annual income =

\dfrac{2}{100}\times I = 0.02I

1 percent of one’s annual income =

\dfrac{1}{100}\times I = 0.01I

Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

=\dfrac{0.01I + 100}{2}

Income tax =

2 percent of one’s annual income + Average of  100 units of Country R’s currency and 1 percent of one’s annual income.

= 0.02I + \dfrac{100+0.01I}{2}\\\\=50 + \dfrac{0.04I + 0.01I}{2}\\\\=50 + \dfrac{0.05I}{2}\\\\= 50 + \dfrac{I}{40}

Thus, income tax is given by

Option C)

50 + \dfrac{I}{40}

6 0
3 years ago
Use an equation to find the value of k
Delvig [45]

\boxed{k=4}

<h2>Explanation:</h2>

We know that the slope of a line is given by:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}

<h2>Learn more:</h2>

Proportional relationships lines, rates of change, and slope:

brainly.com/question/674693

#LearnWithBrainly

4 0
3 years ago
In this fulcrum, for the weights to be balance, what do the distances d1 and d2 have to be if the overall length is 12 feet?
mel-nik [20]
For the fulcrum to balance, the product of weight and distance on both sides of the fulcrum must be the same.

Let d1= x. since total distance is 12, we can write d2 = 12 - x

for the fulcrum to balance:

60x = 50(12 - x)

60x = 600 - 50x

110x = 600

x = 5.45

Thus, d1= 5.45
and
d2= 12 - d1 = 12 - 5.45 = 6.55

d1 = 5.45
d2 = 6.55
5 0
3 years ago
Read 2 more answers
Find the % of change in the cost of gasoline from 1970 with $1.25 and 2010 with $2.75
sashaice [31]
The rate of change is 110 percent.
3 0
4 years ago
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