MATHEMATICS MIDDLE SCHOOL

The density of ice is approximately 0.92 g/cm3 . If a block of ice has a volume of 2300 cm3, what is its mass?

Answers

Answer 1
Answer:

Answer:

mass = 2116g

Step-by-step explanation:

given that

density = 0.92g/cm³

volume = 2300cm³

mass = ?

recall , the formulae for calculating the density of a substance = mass / volume

density = mass/ volume

mass = density x volume

mass = 0.92g/cm³ x 2300 cm³

mass = 2116g

therefore the mass of the substance is evaluated to be equals to  2116g
Answer 2
Answer:

Answer:

2116g

Step-by-step explanation:

(0.92 g)/(1 cm^3) = (xg)/(2300cm^3)

Multiply .92 by 2300 to get x

x = 2116

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A group of 20 children were asked their age and how many pages they read in a week. The scatter plot shows the data.What is the number of pages read for the outlier?



Scatter plot on a first quadrant coordinate grid. The horizontal axis is labeled Age, in years. The vertical axis is labeled Number of pages read. Points are plotted at (eight, thirty-two), (eight, thirty-four), (eight, thirty-six), (eight, thirty-eight), (nine, thirty-two), (nine, thirty-four), (nine, thirty-six), (nine, thirty-eight), (ten, thirty-four), (ten, thirty-six), (ten, thirty-eight), (eleven, forty-two), (twelve, forty-four), (thirteen, fifty), (thirteen, fifty-two), (fourteen, forty-six), (fifteen, fifty-four), (sixteen, fifty-eight), (seventeen, fifty-eight), (seventeen, seventy-two).

Answers

The outlier would be the one with (17, 72) coordinates. If interpreted, the child is 17 years old and the number of pages the child reads in a week is 72. He appeared the outlier because his data was too far from the pattern of data relative to the sample. 

Answer:

The outlier would be the one with (17, 72) coordinates. If interpreted, the child is 17 years old and the number of pages the child reads in a week is 72. He appeared the outlier because his data was too far from the pattern of data relative to the sample

Step-by-step explanation:

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

Answers

The correct answer for this question is that the unit rate is 5:1. Wecan work this out by simplifying down the 2 commercials to every 10songs ration, so that 10:2 becomes 5:1. We can work this out by halvingthe original ratio to simplify it.

The shorter leg of a right triangle is 6 feet shorter than the longer leg. The hypotenuse is 6 feet longer than the longer leg. Find the side lengths of the triangle.

Answers

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Step-by-step explanation:

Let,

Longer leg = a = x

Shorter leg = b = x - 6

Hypotenuse = c = x + 6

As the triangle is right angles, therefore, using pythagoras theorem;

a^2+b^2=c^2\n(x)^2+(x-6)^2=(x+6)^2\nx^2+(x^2-12x+36)=x^2+12x+36\nx^2+x^2-12x+36=x^2+12x+36\n 2x^2-12x+36=x^2+12x+36

Adding (-x² - 12x-36) on both sides

2x^2-12x+36-x^2-12x-36=x^2+12x+36-x^2-12x-36\nx^2-24x=0

Taking x common;

x(x-24)=0\n

Either,

x=0

or,

x-24 = 0     => x=24

As length cannot be 0 therefore,

Longer leg = x = 24 feet

Shorter leg = x-6 = 24-6 = 18 feet

Hypotenuse = x+6 = 24+6 = 30 feet.

The length of longer leg is 24 feet, shorter leg is 18 feet and hypotenuse is 30 feet.

Keywords: triangle, addition

Learn more about triangles at:

#LearnwithBrainly

2. What is 95% of 720?​

Answers

Answer: 684

Step-by-step explanation:

95% of 720

Move decimal point two places to the right.

0.95 * 720 = 684

Answer: 684

Step-by-step explanation:

95% of 720

Move decimal point two places to the right.

0.95 * 720 = 684

−4x + y = 6
−5x − y = 21

Answers

assuming x=x and  y=y in both equations
add them together

-4x+y=6
-5x-y=21  +
-9x+0y=27
-9x=27
divide by 9
-x=3
multiply -1
x=-3

subsiutte
-4x+y=6
-4(-3)+y=6
12+y=6
subtract 12
y=-6



x=-3
y=-6
the soultion set is in (x,y) form
(-3,-6)

The equation y=2/3x describes the number of calls y a salesperson makes in x minutes. How does y change as x changes?

Answers

Y is 2/3 of x because thats how math works
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