Math / Numbers & Operations

QuestionThe double number line shows that Henrik has a mass of 60 kg .
Complete the table to show different percentages of Henrik's mass.
Mass (kg) Percentage $100 \%$ of 60 kg
$20 \%$ of 60 kg
$40 \%$ of 60 kg

Studdy Solution

STEP 1

What is this asking? We need to find out what 20% and 40% of Henrik's 60 kg mass is. Watch out! Don't mix up percentages and actual weights!
A percentage is just a part of the whole.

STEP 2

1. Calculate 20% of Henrik's mass
2. Calculate 40% of Henrik's mass

STEP 3

Alright, let's break down what 20% means!
It means 20 out of 100, or $\frac{20}{100}$ .
We can simplify this fraction by dividing both the top and bottom by their greatest common divisor, which is 20.
This gives us $\frac{20 \div 20}{100 \div 20} = \frac{1}{5}$ .
So, 20% is one-fifth!

STEP 4

Now, we want to find one-fifth of Henrik's mass, which is 60 kg.
To do this, we multiply: $\frac{1}{5} \cdot 60 \text{ kg} = \frac{60}{5} \text{ kg}$

STEP 5

Let's calculate that division: $60 \div 5 = 12$ .
So, 20% of Henrik's mass is 12 kg!

STEP 6

Just like before, let's figure out what 40% means!
It's $\frac{40}{100}$ .
We can simplify this fraction by dividing both numbers by 20: $\frac{40 \div 20}{100 \div 20} = \frac{2}{5}$ .
So 40% is two-fifths!

STEP 7

Now, we need two-fifths of Henrik's 60 kg mass.
We multiply: $\frac{2}{5} \cdot 60 \text{ kg} = \frac{2 \cdot 60}{5} \text{ kg} = \frac{120}{5} \text{ kg}$

STEP 8

Let's crunch those numbers: $120 \div 5 = 24$ .
So, 40% of Henrik's mass is 24 kg!

STEP 9

Here's our completed table:
Mass (kg) | Percentage ---|--- 60 kg | $100\%$ of 60 kg 12 kg | $20\%$ of 60 kg 24 kg | $40\%$ of 60 kg

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QuestionThe double number line shows that Henrik has a mass of 60 kg .
Complete the table to show different percentages of Henrik's mass.
Mass (kg) Percentage $100 \%$ of 60 kg
$20 \%$ of 60 kg
$40 \%$ of 60 kg

Studdy Solution

STEP 1

What is this asking? We need to find out what 20% and 40% of Henrik's 60 kg mass is. Watch out! Don't mix up percentages and actual weights!
A percentage is just a part of the whole.

STEP 2

1. Calculate 20% of Henrik's mass
2. Calculate 40% of Henrik's mass

STEP 3

Alright, let's break down what 20% means!
It means 20 out of 100, or $\frac{20}{100}$ .
We can simplify this fraction by dividing both the top and bottom by their greatest common divisor, which is 20.
This gives us $\frac{20 \div 20}{100 \div 20} = \frac{1}{5}$ .
So, 20% is one-fifth!

STEP 4

Now, we want to find one-fifth of Henrik's mass, which is 60 kg.
To do this, we multiply: $\frac{1}{5} \cdot 60 \text{ kg} = \frac{60}{5} \text{ kg}$

STEP 5

Let's calculate that division: $60 \div 5 = 12$ .
So, 20% of Henrik's mass is 12 kg!

STEP 6

Just like before, let's figure out what 40% means!
It's $\frac{40}{100}$ .
We can simplify this fraction by dividing both numbers by 20: $\frac{40 \div 20}{100 \div 20} = \frac{2}{5}$ .
So 40% is two-fifths!

STEP 7

Now, we need two-fifths of Henrik's 60 kg mass.
We multiply: $\frac{2}{5} \cdot 60 \text{ kg} = \frac{2 \cdot 60}{5} \text{ kg} = \frac{120}{5} \text{ kg}$

STEP 8

Let's crunch those numbers: $120 \div 5 = 24$ .
So, 40% of Henrik's mass is 24 kg!

STEP 9

Here's our completed table:
Mass (kg) | Percentage ---|--- 60 kg | $100\%$ of 60 kg 12 kg | $20\%$ of 60 kg 24 kg | $40\%$ of 60 kg

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QuestionThe double number line shows that Henrik has a mass of 60 kg .Complete the table to show different percentages of Henrik's mass.Mass (kg) Percentage 100%100 \%100% of 60 kg20%20 \%20% of 60 kg40%40 \%40% of 60 kg

Studdy Solution

STEP 1

What is this asking? We need to find out what 20% and 40% of Henrik's 60 kg mass is. Watch out! Don't mix up percentages and actual weights!A percentage is just a part of the whole.

STEP 2

1. Calculate 20% of Henrik's mass2. Calculate 40% of Henrik's mass

STEP 3

STEP 4

Now, we want to find one-fifth of Henrik's mass, which is **60 kg**.To do this, we multiply: 15⋅60 kg=605 kg \frac{1}{5} \cdot 60 \text{ kg} = \frac{60}{5} \text{ kg} 51​⋅60 kg=560​ kg

STEP 5

Let's **calculate** that division: 60÷5=1260 \div 5 = 1260÷5=12.So, 20% of Henrik's mass is **12 kg**!

STEP 6

Just like before, let's **figure out** what 40% means!It's 40100\frac{40}{100}10040​.We can simplify this fraction by dividing both numbers by 20: 40÷20100÷20=25\frac{40 \div 20}{100 \div 20} = \frac{2}{5}100÷2040÷20​=52​.So 40% is two-fifths!

STEP 7

Now, we need two-fifths of Henrik's **60 kg** mass.We multiply: 25⋅60 kg=2⋅605 kg=1205 kg \frac{2}{5} \cdot 60 \text{ kg} = \frac{2 \cdot 60}{5} \text{ kg} = \frac{120}{5} \text{ kg} 52​⋅60 kg=52⋅60​ kg=5120​ kg

STEP 8

Let's **crunch those numbers**: 120÷5=24120 \div 5 = 24120÷5=24.So, 40% of Henrik's mass is **24 kg**!

STEP 9

Here's our completed table:Mass (kg) | Percentage ---|--- 60 kg | 100%100\%100% of 60 kg 12 kg | 20%20\%20% of 60 kg 24 kg | 40%40\%40% of 60 kg

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionThe double number line shows that Henrik has a mass of 60 kg .
Complete the table to show different percentages of Henrik's mass.
Mass (kg) Percentage $100 \%$ of 60 kg
$20 \%$ of 60 kg
$40 \%$ of 60 kg

What is this asking? We need to find out what 20% and 40% of Henrik's 60 kg mass is. Watch out! Don't mix up percentages and actual weights!
A percentage is just a part of the whole.

1. Calculate 20% of Henrik's mass
2. Calculate 40% of Henrik's mass

Now, we want to find one-fifth of Henrik's mass, which is 60 kg.
To do this, we multiply: $\frac{1}{5} \cdot 60 \text{ kg} = \frac{60}{5} \text{ kg}$

Let's calculate that division: $60 \div 5 = 12$ .
So, 20% of Henrik's mass is 12 kg!

Just like before, let's figure out what 40% means!
It's $\frac{40}{100}$ .
We can simplify this fraction by dividing both numbers by 20: $\frac{40 \div 20}{100 \div 20} = \frac{2}{5}$ .
So 40% is two-fifths!

Now, we need two-fifths of Henrik's 60 kg mass.
We multiply: $\frac{2}{5} \cdot 60 \text{ kg} = \frac{2 \cdot 60}{5} \text{ kg} = \frac{120}{5} \text{ kg}$

Let's crunch those numbers: $120 \div 5 = 24$ .
So, 40% of Henrik's mass is 24 kg!

Here's our completed table:
Mass (kg) | Percentage ---|--- 60 kg | $100\%$ of 60 kg 12 kg | $20\%$ of 60 kg 24 kg | $40\%$ of 60 kg