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By how much percent did the temperature change if:

1. at first it increased by 25% and then decreased by 40%

2. at first it decreased by 60% and then increased by 80%

3. at first it increased by 5% and then increased by 20%

4. at first it decreased by 10% and then decreased by 30%

Respuesta :

Answer:

1.it was a 25 percent decrease

2.it was a 28 percent decrease

3.it was a 26 percent increase

4.  it was a 37 percent decrease

Step-by-step explanation:

1.  if it increased by 25 percent

t + .25t = 1.25 t

then decreased by 40 percent  {use 1.25t}

1.25t - .4(1.25t)

1.25t - .5t

.75t

the difference from t to .75 t is  (t-.75 t) is .25 t  or 25 percent

it was a 25 percent decrease


2.  t decreased by 60

t - .6 t = .4 t

then increased by 80 {use .4t}

.4t + .8 (.4t)

.4t+.32t =.72t

the difference from t to .72 t is  (t-.72 t) is .28 t  or 28 percent

it was a 28 percent decrease


3.  t increased by 5 percent

t + .05 t = 1.05 t

then increased by 20 {use 1.05t}

1.05t + .2 (1.05t)

1.05t+.21t =1.26t

the difference from t to .72 t is  (1.26 t-t) is .26 t  or 26 percent increase

it was a 26 percent increase


4.  t decrease by 10 percent

t - .1 t = .9 t

then decreased by .3 {use .9t}

.9t - .3 (.9t)

.9t-.27t =.63t

the difference from t to .72 t is  ( t-.63t) is .37 t  or 37 percent decrease

it was a 37 percent decrease

Answer:

37 percent decrease

Step-by-step explanation:

37 percent decrease

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