All categories

3 years ago

Find the value of a in the equation:

Mathematics

1 answer:

gtnhenbr [62]3 years ago

3 0

$\frac{5}{a} +3= \frac{3}{a} -2$
$\frac{5}{a} - \frac{3}{a} =-2-3$
$\frac{2}{a} =-5$
2=-5a
a=- $\frac{2}{5}$

You might be interested in

Which of the following steps would you perform to the system of equations below so that the equations have equal x-coefficients?

12345 [234]

The answer is A. Multiply both sides of the top equation by 2

So since we know that 4 × 2 = 8, it would only make sense to multiply both sides by 2 so that the top equation has the x coefficient be 8.

5 0

4 years ago

Read 2 more answers

I need help with those 2

galina1969 [7]

Question 7 is a, multiply ever number by 5
question 8 is also a, multiply every number by -2

7 0

3 years ago

Four billion, five hundred and seventy million. write this number in figures

ozzi

Answer:

4,575,000,000

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd

mart [117]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

Remember that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Find the slope of the first line

we have the points

(-3,-1) and (1,-9)

substitute in the formula

$m_1=\frac{-9+1}{1+3}$

$m_1=\frac{-8}{4}$

$m_1=-2$

Find the slope of the second line

we have the points

(1,4) and (5,6)

substitute in the formula

$m_2=\frac{6-4}{5-1}$

$m_2=\frac{2}{4}$

Simplify

$m_2=\frac{1}{2}$

Compare the slopes

$m_1=-2$

$m_2=\frac{1}{2}$

Find out the product

$m_1*m_2=(-2)(\frac{1}{2})=-1$

therefore

The lines are perpendicular

8 0

3 years ago

Read 2 more answers

Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.

Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

$420* 12=$

$5040$

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

6% means 6 per cent/hundred, so it can be represented as:

$\frac{6}{100}$

The fraction $\frac{6}{100}$ can be represented as (we're two places behind the decimal, in the hundredths place):

$0.06$

Now, multiply the decimal form of 6% by $5040:

$0.06*5040=$

$302.40$

Therefore, Mason's rent will increase by $302.40 next year.

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

$302.40$ ÷ $12=$

$25.20$

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

$420+25.20=$

$445.20$

Therefore, Mason's new rent per month next year will be $445.20.

7 0

3 years ago