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3 years ago

What is the answer to 19/5+5/4

Mathematics

2 answers:

elena-s [515]3 years ago

7 0

Answer:

exact form : 101/20

Decimal : 5.05

Mixed Number: 5 1/20

Furkat [3]3 years ago

4 0

The answer would be 101/20

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Solve: 2x+7/5 - x-3/10 = x+1/15<br>find the value of x and verify the result will RHS

choli [55]

Step-by-step explanation:

<h3><u>Given Question :- </u></h3>

Solve for x :-

$\dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\red{\large\underline{\sf{Solution-}}}$

Given linear equation is

$\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{2(2x + 7) - (x - 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{4x + 14 - x + 3}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{(4x - x) + (14 + 3)}{10} = \dfrac{x + 1}{15}$

$\rm :\longmapsto\: \dfrac{3x + 17}{10} = \dfrac{x + 1}{15}$

On multiply by 5 on both sides,

$\rm :\longmapsto\: \dfrac{3x + 17}{2} = \dfrac{x + 1}{3}$

On cross multiplication, we get

$\rm :\longmapsto\:3(3x + 17) = 2(x + 1)$

$\rm :\longmapsto\:9x +51 = 2x + 2$

$\rm :\longmapsto\:9x - 2x = 2 - 51$

$\rm :\longmapsto\:7x = - 49$

$\bf\implies \:x = - 7$

<h3><u>VERIFICATION</u></h3>

Consider, LHS

$\red{\rm :\longmapsto\: \dfrac{2x + 7}{5} - \dfrac{x - 3}{10}}$

On substituting the value of x, we get

$\red{\rm \: = \: \dfrac{2( - 7) + 7}{5} - \dfrac{ - 7 - 3}{10}}$

$\red{\rm \: = \: \dfrac{ - 14 + 7}{5} - \dfrac{ - 10}{10}}$

$\red{\rm \: = \: \dfrac{ - 7}{5} + 1}$

$\red{\rm \: = \: \dfrac{ - 7 + 5}{5}}$

$\red{\rm \: = \: \dfrac{ - 2}{5}}$

Consider RHS

$\green{\rm :\longmapsto\:\dfrac{x + 1}{15}}$

On substituting the value of x, we get

$\green{\rm \: = \: \dfrac{ - 7 + 1}{15}}$

$\green{\rm \: = \: \dfrac{ - 6}{15}}$

$\green{\rm \: = \: \dfrac{ - 2}{5}}$

$\rm \implies\:LHS=RHS$

HENCE, VERIFIED

5 0

3 years ago

Read 2 more answers

Can someone please provide an answer with an explanation please?

Elden [556K]

Answer:

7 is the card that must be removed.

Step-by-step explanation:

2 + 5 + 8 + 9 = 24 and dividing it by four (which is something you have to do when finding the average or mean) will get you 6 as an answer. So by getting rid of 7 you have a final mean as 6.

5 0

3 years ago

What is (-a + b) (-c + d)?

algol [13]

Answer:

(−a+b)(−c+d)

=(−a+b)(−c+d)

=(−a)(−c)+(−a)(d)+(b)(−c)+(b)(d)

=ac−ad−bc+bd

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3 years ago

suppose a marble is chosen randomly from a bag containing 3 blue, 2 red, and 5 green marbles. Determine each theoretical probabi

givi [52]

Answer:

3/10 + 2/10 +5/10

3/10+ 1/5 + 1/2

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4 years ago

Find the actual area of the rectangle shown in the scale drawing below. Use the scale 1 inch = 3 feet

dimulka [17.4K]

Answer:

There is no photo or attachment

Step-by-step explanation:

Attach it and I’ll do it

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3 years ago