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2 years ago

Which of the following is a correct conversion of 50 kg

Mathematics

1 answer:

wariber [46]2 years ago

4 0

Answer:

c. 50kg = 50,000g

Step-by-step explanation:

We have to solve these following rule of three to see which of the following is a correct conversion of 50kg.

Each kg has 1000g

1kg - 1000g

50kg - xg

x = 50*1000

x = 50,000g

Conversion a) is wrong

Each kg has 1000000mg

1kg - 1000000g

50kg - x mg

x = 50*1000000

x = 50,000,000 mg

Conversion b) is wrong

In a), we have already converted 50kg to g. We have verified that 50kg = 50,000g. So c. is correct

In b), we have already converrted 50kg to mg. We have verified that 50kg = 50,000,000g. So d. is wrong

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The ratio of the volume of soda in glass A to the volume of glass B is 8/3 to 7/2

MrRa [10]

Answer:

Total volume in the two glasses is 740 mL.

Step-by-step explanation:

Given:

Ratio of the volume of soda in glass A to the volume of glass B = 8/3 : 7/2

Volume of soda in glass A = 320mL

To Find :

The total volume in the two glasses = ?

Solution:

Let the volume of soda in glass B be x

then

$\text{ratio of soda in glass A} \times \text{ the volume of soda in glass B} = \text{ratio of soda in glass B} \times \text{ the volume of soda in glass A}$

Substituting the values ,

$\frac{8}{3} \times x = \frac{7}{2} \times 320$

$\frac{8}{3} \times x = \frac{2240}{2}$

$\frac{8}{3} \times x = 1120$

$x = 1120 \times \frac{3}{8}$

$x = \frac{3360}{8}$

x = 420

Now total volume of soda in the two glasses

=> volume of soda in glass A + volume of soda in glass B

=> 320 + 420

=>740mL

5 0

2 years ago

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubi

zlopas [31]

Answer: $6.185in^3$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V_{cylinder}=\pi r^2h$

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

$r=\frac{d}{2}$ (Where d is the diameter)

$r=\frac{3in}{2}=1.5in$

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

$V_{can}=\pi (1.5)^2(1.75in)=12.37in^3$

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

$V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3$

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2 years ago

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Alona [7]

Answer:

$y = 56.6208$

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

$cos(39) = \frac{44}{y}$

i.e.

$cos(\theta) = \frac{Adjacent}{Hypotenuse}$

Make y the subject

$y = \frac{44}{cos(39)}$

$y = \frac{44}{0.7771}$

$y = 56.6208$ -- approximated

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2 years ago

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skad [1K]

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Ivanshal [37]

Answer:

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Step-by-step explanation:

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