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4 years ago

Complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions

Mathematics

1 answer:

choli [55]4 years ago

5 0

1/2 ÷ 1/2
= 1/2 ÷ 2/1
= 1/2 × 2/1
= 2/2
= 1

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Paul has 2/3 as many postcards as Shawn. The number of postcards Shawn has is 4/5 of the number of postcards Tim has. If the thr

ahrayia [7]

Tim has 56 more postcards than Paul.

Step-by-step explanation:

Total postcards boys have = 280

Let,

x = Paul's postcards

y = Shawn's postcards

z = Tim's postcards

According to given statement;

x + y + z = 280 Eqn 1

$x=\frac{2}{3}y$ Eqn 2

$y = \frac{4}{5}z$ Eqn 3

Putting value of y from Eqn 3 in Eqn 2

$x=\frac{2}{3}*\frac{4}{5}z\\\\x=\frac{8}{15}z$ Eqn 4

Putting value of x and y from Eqn 4 and Eqn 3 in Eqn 1

$\frac{8}{15}z+\frac{4}{5}z+z=280\\\\\frac{8z+12z+15z}{15}=280\\\\\frac{35z}{15}=280\\\\$

Multiplying both sides by $\frac{15}{35}$

$\frac{15}{35}*\frac{35}{15}z=280*\frac{15}{35}\\z=120$

Putting z=120 in Eqn 3

$y=\frac{4}{5}*120\\y=96$

Putting y=96 in Eqn 2

$x=\frac{2}{3}*96\\x=64$

Difference of Tim and Paul = 120-64 = 56

Tim has 56 more postcards than Paul.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

Just testing the app

dimaraw [331]

Noice Brainy is good becuase it gives answers out for free but there is a limit sometimes

3 0

3 years ago

I need help with this problem

Elis [28]

-32/1. Is the answer you just divide too and bottom by the bottom number which 3 is an common factor in both #,s

6 0

3 years ago

Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

<u>Addition Law for Probability</u>

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

4 0

2 years ago

Read 2 more answers

A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your

Maru [420]

The mixture contains 61.5% of water.

<u>Step-by-step explanation:</u>

Total parts = 4+ 2.5 = 6.5

Parts of water =4

parts of drink = 2.5

Percent of water in the mixture = 4 × 100/ 6.5

= 400/6.5

= 61.53%

It is rounded to the nearest tenth as 61.5%.

8 0

3 years ago