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AveGali [126]
3 years ago
15

How did the temperature change if: At first it increased by 25% and then decreased by 40%

Mathematics
2 answers:
Roman55 [17]3 years ago
7 0

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

kirill [66]3 years ago
7 0

Answer:

Temperature decreased by 25%

Step-by-step explanation:

Let initial temperature be t

Step 1

<u>Increase by 25%:</u>

  • t + 25% = t + 0.25 t = 1.25 t

Step 2

<u>Decrease by 40%:</u>

  • 1.25 t  - 40% = 1.25 t - 0.4 * 1.25 t= 1.25 t - 0.5 t = 0.75 t

Temperature changed from t to 0.75 t

<u>The difference in %:</u>

  • 0.75 t - t = -0.25 t = 25% decrease

<u>Temperature decreased </u>by 25%

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natita [175]

Answer:  24, 24, 47

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

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c       &       a + c > b        &        b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than  45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47      &        24 + 47 > 24       &       24 + 24 > 27

all combinations are true so these side lengths can form a triangle

7 0
3 years ago
What is the equation of the line that passes through 1,4 and 2,1
sashaice [31]

Answer:

y = -3x + 7

Step-by-step explanation:

The equation of a line

y = mx + c

y - intercept point y

m - slope of the line

x - intercept point x

c - intercept point of the line

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given two points

( 1 , 4) ( 2 , 1)

x1 = 1

y1 = 4

x2 = 2

y2 = 1

insert the values

m = 1 - 4 / 2 - 1

m = -3/1

m = -3

y = -3x + c

Step 2: substitute any of the two points given into the equation of a line

y = -3x + c

( 1 ,4)

x = 1

y = 4

4 = -3(1) + c

4 = -3 + c

4 + 3 = c

c = 7

Step 3: sub c into the equation

y = -3x + 7

The equation of the line is

y = -3x + 7

3 0
3 years ago
Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.
IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0
2 years ago
A farm packages eggs into cartons that hold two dozen eggs each. Last week, 5,398 eggs were collected. How many cartons will the
Sonbull [250]

Answer:

225

Step-by-step explanation:

We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

\frac{5398}{24} = 224.916667

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.

4 0
2 years ago
What is the probability of PICKING A RED CHALK, if there red,green,blue,orange,and white chalks (TWO EACH) in a basket ?
Zepler [3.9K]

Answer:

2/10   = 1/5.

Step-by-step explanation:

There are 2 reds in 10 chALKS.

4 0
3 years ago
Read 2 more answers
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