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3 years ago

Given that 1 kilogram weighs approximately 22 pounds, rewrite 10 pounds as an equivalent number of kilograms

Mathematics

1 answer:

yaroslaw [1]3 years ago

4 0

Answer:

0.4545 kgs.

Step-by-step explanation:

Given that 1 kg weighs approximately 22 pounds.

i.e. 1kg= 22 lbs.

We can use this to convert lbs into kg.

22 lbs = 1 kg

Hence 1 lb = 1/22 = 0.04545 kg

Now to find out the equivalent weight for 10lbs,

we have conversion factor as 1 lb= 0.04545 kg

Hence 10 lbs = 10(0.04545) = 0.4545 kgs

Hence 10 pounds written in equivalent kgs would be0.4545 kgs.

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Find the distance between the points (0,-2) and (-8,-8)

Ostrovityanka [42]

Answer:

Distance between the points = 10 units

Step-by-step explanation:

Given points:

(0,-2) and (-8,-8)

To find the distance between the two points.

Solution:

Applying distance formula to find the distance between the points.

For points $(x_1,y_1)$ and $(x_2,y_2)$ the distance is given as:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Plugging in the given points in the formula.

$d=\sqrt{(-8-0)^2+(-8-(-2))^2}$

$d=\sqrt{(-8)^2+(-8+2))^2}$

$d=\sqrt{(-8)^2+(-6)^2}$

$d=\sqrt{64+36}$

$d=\sqrt{100}$

$d=\pm10$

Since distance is always positive. So $d=10$ units.

3 0

3 years ago

What are the domain, range, and asymptote of h(x) = 6x – 4?

Lelechka [254]

Domain: (-infinity, infinity)
Range: (-infinity, infinity)
Asymptote: none

8 0

3 years ago

Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Hatshy [7]

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

Data set: 13, x, 4, 16, 6, y
Mean = 12
y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

$\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12$

Let us substitute the value of y (2x) in the data.

$\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12$

Now, add all the terms in the data and simplify.

$\implies \dfrac{39 + x +2x}{6} = 12$

$\implies \dfrac{39 + 3x}{6} = 12$

Distribute the denominators and simplify.

$\implies \dfrac{39}{6} + \dfrac{3x}{6} = 12$

$\implies \dfrac{13}{2} + \dfrac{x}{2} = 12$

$\implies 6.5 + \dfrac{x}{2} = 12$

Subtract 6.5 both sides and simplify.

$\implies 6.5 + \dfrac{x}{2} - 6.5 = 12 - 6.5$

$\implies \dfrac{x}{2} = 5.5$

Use cross multiplication and simplify.

$\implies x= 5.5 \times 2$

$\implies x= 11$

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

$\implies y = 2x$

$\implies y = 2(11)$

$\implies y = 22$

When the x and y values are substituted in the data, we get;

⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

8 0

2 years ago

Rates and ratios simalar

Alex777 [14]

Rate is closer to a constant pattern , example: I'm walking at a rate of 2 miles an hour.

Ratio is related to the proportion of two or more objects, example: The ratio for a perfect tang juice is 1 packet of tang dust thingy for 1.5 liters of water.

Hope it helps :)

4 0

3 years ago

Find the median of this data set. 3,35,23,37,45,5,49,27,48

Anestetic [448]

Arrange in ascending order:-

3, 5, 23, 27, 35, 37, 45, 48, 49

There are 9 values so the median = middle 5th value

= 35 Answer

6 0

3 years ago

Read 2 more answers