All categories

3 years ago

If a /b = p /q, then (a + b )/b = _______. (p + b )/q (p + p)/q (p + q)/q (p + a)/q

Mathematics

2 answers:

Pavlova-9 [17]3 years ago

6 0

Answer:

$\dfrac{a+b}{b}=\dfrac{p+q}{q}$

Step-by-step explanation:

The given equation is,

$\Rightarrow \dfrac{a}{b}=\dfrac{p}{q}$

Adding 1 in both sides,

$\Rightarrow \dfrac{a}{b}+1=\dfrac{p}{q}+1$

$\Rightarrow \dfrac{a+b}{b}=\dfrac{p+q}{q}$

This rule is also known as Componendo property of fractions.

Therefore,

$\dfrac{a+b}{b}=\dfrac{p+q}{q}$

maxonik [38]3 years ago

5 0

Hope this helps you!

You might be interested in

Given the following diagram, is ∠1 a supplement of ∠COF?

Dimas [21]

Answer:

yes

Step-by-step explanation:

7 0

3 years ago

Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.

andreyandreev [35.5K]

We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.

For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:

g(x) = f(x + 2) + 4

----------------------------------

Let's see how to solve this.

We need to start by defining the two most common translations (also known as shifts).

Horizontal translation:

For a given function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

where if N is positive, the translation is to the left.

If N is negative, the translation is to the right.

Vertical translation:

For a given function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

Where if N is positive, the translation is upwards.

If N is negative, the translation is downwards.

Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.

The shift up of 4 units is written as:

g(x) = f(x) + 4

The shift of 2 units to the left is written as:

g(x) = f(x + 2)

These two together give:

g(x) = f(x + 2) + 4.

This is the equation we wanted to get.

If you want to learn more, you can read:

brainly.com/question/24401156

3 0

2 years ago

A bag of flour weighs 15 kg. A baker has one bag of flour. She uses 1.065 kg every day. How much flour does she use in 8 days? H

Len [333]

Answer:

She uses 8.52 kgs of flour in 8 days

There are 6.48 kgs of flour left over after 8 days.

Step-by-step explanation:

First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.

1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.

Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.

15 - 8.52 = 6.48 kgs.

7 0

2 years ago

What is the quotient of -1/8 and - 1/3

eimsori [14]

Answer:

Step-by-step explanation:

(-1/8)/(-1/3) = (-1/8)×(3/-1) = (-1)(3)/(8)(-1) = -3/-8 = 3/8

3 0

3 years ago

F Tanisha has $ 1,000 to invest at 5 % per annum compounded , how long will it be before she has $1,400 ? If the compounding

vladimir2022 [97]

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

<h3>How long would it take $1000 to become $1,400?</h3>

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

FV = future value
PV = present value
r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

To learn more about how to determine the number of years, please check: : brainly.com/question/21841217

#SPJ1

5 0

2 years ago