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3 years ago

How can I prove mathematically that (a / b) + (c / d) = (ad + bc) / bd

Mathematics

1 answer:

wlad13 [49]3 years ago

7 0

Step-by-step explanation:

(a/b) + (c/d)

Find the common denominator. In this case, bd. So multiply the first fraction by d/d, and the second fraction by b/b.

(ad)/(bd) + (bc)/(bd)

Add the fractions.

(ad + bc) / (bd)

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4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more wa

Anika [276]

Answer:

1096 more water

Step-by-step explanation:

Let;

x = the water used in general

but used 3 times of the original = 3x

3*(548) = 1644 water a day

How much more water =New - original

where:

new = 1644

original= 548

1644 - 548

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3 years ago

Alex spends 2/3 of his paycheck p on food and $3 lose change on coffee how much did he spend

Pani-rosa [81]

Answer:

The total amount Alex spent is $ 9

Step-by-step explanation:

The given parameters are;

The amount Alex spends on food = 2/3 of his paycheck

The amount Alex spends on coffee = $3

Therefore, we have;

Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p

The amount Alex spends on coffee = 1/3 of his paycheck

Therefore, we have;

1/3 × p = $3

p = 3 × $3 = $9

The total amount Alex spent = $ 9

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5 0

3 years ago

What is the difference of 5 and 2/5? Show your work.

tatuchka [14]

Answer:

This is the answer, let me know if something isn't clear

3 0

3 years ago

−2/3(3 - 1/2)(-1) = ?

chubhunter [2.5K]

The correct answer would be B. 2 - 1/3

8 0

3 years ago

a local community theather 240 tickets for Saturday nights performance they sold 180 more st full price then the discount ticket

gizmo_the_mogwai [7]

Question:

The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?

Answer:

$x = 180 + y$

$x + y = 240$

Step-by-step explanation:

Given

$Tickets = 240$

Represent the number of full price with x and discounted price with y.

From the question:

x = 180 more than y

So:

$x = 180 + y$

Also, a total of 240 were sold.

So:

$x + y = 240$

Hence, the equations are:

$x = 180 + y$

$x + y = 240$

Solving further;

Substitute 180 + y for x in $x + y = 240$

$180 + y + y = 240$

$180 + 2y = 240$

Solve for 2y

$2y = 240 - 180$

$2y = 60$

Divide through by 2

$y = 30$

Recall that: $x = 180 + y$

$x = 180 + 30$

$x = 210$

Hence:

Full Price = 210

Discounted = 30

3 0

3 years ago