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yarga [219]
1 year ago
12

A man on a diet is losing four-tenths of a kilogram each day. How many days will it take him to lose 3.2 kilograms?

Mathematics
1 answer:
Alborosie1 year ago
3 0

so he's losing 4/10 of a Kg daily, how many times will that equal 3.2 Kgs? namely how many times does 4/10 go into 3.2?

well, let's firstly convert 3.2 to a fraction, and then divide.

\bf \stackrel{\textit{1 decimal}}{3.\underline{2}}\implies \cfrac{32}{\underset{\textit{1 zero}}{1\underline{0}}}\implies \cfrac{16}{5} \\\\[-0.35em] ~\dotfill

\bf \cfrac{16}{5}\div \cfrac{4}{10}\implies \cfrac{16}{5}\div \cfrac{2}{5}\implies \cfrac{\stackrel{8}{~~\begin{matrix} 16 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{~~\begin{matrix} 5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 8

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Consider this claim: Changes in environmental conditions always result in new ecosystems and loss of biodiversity characterized
Dafna11 [192]

Answer:

If a desert became flooded, some species would immeadiately go extinct, distrupting the ecosystem, biodiversity, and the food web. This flood might cause new species to enter the ecosystem as well, through means such as rafting. Other species would be forced to adapt to the new environment, leading to adaptation and possibly speciation. For a time the ecosystem would not be very stable, but after a relatively short time, 10 or 20 years, the ecosystem could stabilize itself. So my conclusion is that ecosystems are relatively fluid, they can adapt to almost anything if they have enough time and the change in environment isn’t too drastic.

Step-by-step explanation:

4 0
1 year ago
The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. Write and solve an eq
horsena [70]

Answer:

The height of the statue is 152 feet

Step-by-step explanation:

<u><em>The complete question is :</em></u>

The total height of the Statue of Liberty and its pedestal is 305 feet. This is 153 more than the height of the statue. Write and solve an equation to find the height h (in feet) of the statue.

Let

h ----> the height of the statue in feet

p ---> the height of the pedestal in feet

we know that

h+p=305 ----> equation A

h+153=h+p ---> equation B

so

substitute equation A in equation B and solve for h

h+153=305

subtract 153 both sides

h=305-153

h=152\ ft

7 0
1 year ago
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
2 years ago
Pat's income is 20 % more than Adam. How much percent is Adam's income less than Pat's?
pantera1 [17]

Answer: 20%

Step-by-step explanation: The same number applies here. Think about it this way, let's say you have a friend named Sofia and she has 3 dollars more than you, how many dollars do you have less than Sofia? 3 dollars. That's the easiest way I can explain it.

4 0
2 years ago
The green goober a wildly unpopular hero mixes 3 L of yellow paint was 5 L of blue plate to make a leader is a special green pai
Butoxors [25]

Answer:

<u>The equation can be y = 3b/5 or b = 5y/3</u>

Correct statement and question:

The Green Goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume.  

Write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b) needed to make the Green Goober's special green paint.

Source:

Previous question that can be found at brainly

Step-by-step explanation:

Let y to be the amount of liters of yellow paint needed to make the Green Goober's special green paint.

Let b to be the amount of liters of blue paint needed to make the Green Goober's special green paint.

We know that:

y:b = 3:5

Therefore,

5y = 3b, dividing by 5 at both sides we have:

y = 3b/5

And also dividing by 3 at both sides we have:

<u>b = 5y/3</u>

Both equations relate the amounts (in liters) of yellow paint and blue paint needed to make the Green Goober's special green paint.

4 0
1 year ago
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