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NeX [460]
3 years ago
11

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!

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Kennedy walks 2miles in 15 minutes she want to walk 3 more miles at the rate of speed. Which equation represents how many minute
Mekhanik [1.2K]

Answer:

We know that the equation for the speed is:

Speed = Distance/time.

First, we know that he walks 2 miles in 15 minutes.

distance = 2miles

time = 15 minutes

Then his speed in that interval is:

Speed = (2 mi)/(15 min) = (2/15) miles per minute.

Now, at this same speed, he wants to walk 3 more miles. And we want to find the equation that represents how much time she needs to walk 5 miles (the 2 first miles plus the other 3 miles)

We use again the equation:

Speed = Distance/Time

But we isolate Time, to get:

Time = Distance/Speed

Where:

Distance = 5 miles

Speed = (2/15) miles per min

Time = (5 miles)/((2/15) miles per min) = 37.5 minutes

She needs 37.5 minutes to walk the 5 miles.

3 0
3 years ago
65% of what is 39? ​
sergey [27]

Answer:

The answer is 25.35

Step-by-step explanation:

Hope this helps:)

4 0
4 years ago
Read 2 more answers
Complete the table.<br><br> Original Price Percent of Discount Sale Price<br> $<br> 5% $57
mario62 [17]

Answer:

I think it is $54.15 sorry if wrong

6 0
3 years ago
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D
fgiga [73]

Answer:

Are you sure this is the whole problem?

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4 0
3 years ago
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In a class of P students, the average of test scores is 70. In another class the average test scores is 92. When scores of the t
Basile [38]

So, since averages are defined as:

\frac{\sum_{k=1}^{P} P_k}{P}=70

So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.

So, using that logic, the other class can be represented as:

\frac{\sum_{k=1}^{N} N_k}{N}=70

We can take both of these equations and multiply them by N:

\sum_{k=1}^{P} P_k=70P

\sum_{k=1}^N N_k=92N

So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.

\frac{\sum_{k=1}^{P} P_k+\sum_{k=1}^{N}N_k}{N+P}=\frac{70P+92N}{N+P}

To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.

86=\frac{92N+70P}{N+P} \implies\\ 86N+86P=92N+70P \implies \\ 16P=6N \implies \\ \frac{16P}{N}=6 \implies \\ \frac{P}{N}=\frac{6}{16}

Simplified we would have P/N=3/8.

7 0
3 years ago
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