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Fofino [41]
3 years ago
7

If two thirds of a number decreased by 20 is 40, what is the number

Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

The unknown number is 90

Step-by-step explanation:

This question requires a good understanding so as to interprets it well

And always ensure that all symbols used in representation are well stated so as to help the examiner or anyone who will mark it to understand better

So back to the question,let the unknown number be x

And two thirds of the unknown number is 2/3x

2/3x was decreased by 20 which can be written as 2/3x-20

And this decrease gives 40

That's,2/3x-20=40

Then go ahead to solve the question

Start by finding the LCM and the LCM is 3

2x-60/3=40

Cross multiply

2x-60=40×3

2x-60=120

Collect like terms by adding 60 to both sides

2x=180

Divide both sides by 2

x=90

Therefore the final answer is 90

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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
murzikaleks [220]

Answer:

The answer is 10m + 7n - 14

Step-by-step explanation:

Q = 7m + 3n

R = 11 - 2m

S = n + 5

T = -m - 3n + 8

[Q - R] + [S - T] is

[ 7m + 3n - (11 - 2m) ] + [ n + 5 - ( - m - 3n+8)]

Solve the terms in the bracket first

That's

( 7m + 3n - 11 + 2m ) + ( n + 5 + m + 3n - 8)

( 9m + 3n - 11 ) + ( m + 4n - 3)

<u>Remove the brackets</u>

That's

9m + 3n - 11 + m + 4n - 3

<u>Group like terms</u>

9m + m + 3n + 4n - 11 - 3

The final answer is

<h3>10m + 7n - 14</h3>

Hope this helps you

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guapka [62]

Answer:

1

Step-by-step explanation:

\frac{2}{3}  \div  - 4 - ( \frac{1}{6}  -  \frac{8}{6} )

-  \frac{2}{3}  \times  \frac{1}{4}  - ( -  \frac{7}{6} )

-  \frac{1}{3}  \times  \frac{1}{2}  +  \frac{7}{6}

-  \frac{1}{6}  +  \frac{7}{6}

\boxed{\green{= 1}}

5 0
2 years ago
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