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1 year ago

6.2 ÷ 3.1 is equivalent to 62 ÷ 31 The dividend and divisor were both multiplied by

Mathematics

1 answer:

VARVARA [1.3K]1 year ago

8 0

Answer:

The dividend and the divisor were both multiplied by 10

Step-by-step explanation:

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2 m3 of soil containing 35% sand was mixed into 6 m3 of soil containing 15% sand. what is the sand content of the mixture?

jekas [21]

Answer is: 1.6 m3 of sand

4 0

1 year ago

Emily is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Emily will earn $

Hitman42 [59]

Answer:

(6,2)

Step-by-step explanation:

Variable Definitions:

x= the number of commercials

y= the number of movies

Each commercial earns Emily $50, so x commercials would earn her 50x dollars in royalties. Each movie earns Emily $150, so y movies would earn her 150y dollars in royalties. Therefore, the total royalties 50x+150y equals $600:

50x+150y=600

Since Emily's songs were played on 3 times as many commercials as movies, if we multiply 3 by the number of movies, we will get the number of commercials, meaning x equals 3y.

x=3y

Write System of Equations:

50x+150y=600

x=3y

Solve for y in each equation:

1) 50x+150y=600

150y=−50x+600

y=-1/3x+4

2) x=3y

y=1/3x

The x variable represents the number of commercials and the yy variable represents the number of movies. Since the lines intersect at the point (6,2) we can say:

Emily's songs were played on 6 commercials and 2 movies.

4 0

1 year ago

Explain why parallelograms are always quadrilaterals but quadrilaterals are sometimes parallelograms

Gnoma [55]

Im sure this website will help answer.com

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1 year ago

A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

2 years ago

What is the length of the hypotenuse of the triangle below?

liberstina [14]

Answer:

$\boxed{B. Hypotenuse = 10}$

Step-by-step explanation:

By applying <em>Pythagoras theorem</em> we can find hypotenuse of a right angle triangle.

Side of right angle triangle (a) = 5√2 cm

Side of right angle triangle (b) = 5√2 cm

Hypotenuse² = a² × b²

${Hypotenuse}^{2} = {(5 \sqrt{2} )}^{2} \times {(5 \sqrt{2} )}^{2} \\ \\ {Hypotenuse}^{2} = (25 \times 2) + (25 \times 2)\\ \\ {Hypotenuse}^{2} = 50 + 50\\ \\ {Hypotenuse}^{2} = 100\\ \\ {Hypotenuse}^{ \cancel{2}} = {10}^{ \cancel{2}} \\ \\ Hypotenuse = 10$

7 0

1 year ago

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