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Ad libitum [116K]
3 years ago
15

What is the weight (in grams) of a liquid that exactly fills a 202.0 milliliter container if the density of the liquid is 0.685

grams over milliliter ? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Mathematics
1 answer:
harina [27]3 years ago
5 0

Answer:

The weigh in gram is 138.7

Step-by-step explanation:

From the question we can even write out an equation which gives us the formula

(0.685=).grams/millimeter 0.685

is the density in this density formula, and since and from the question we know what the mass will be and what the volume will be.

in the equation above we just need to plug in the 202 milliliter into the equation.

0.685= grams/202

Then if we cross multiply we have

grams = 0.685× 202

=138.7

Therefore, the weight in grams is 138.7

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What is the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1?
alexandr1967 [171]

Answer:

The slope of the line is -\frac{2}{3}

Step-by-step explanation:

For any line y=mx+b, a line that is perpendicular to it is y_\perp =-\frac{1}{m} x+b.

Therefore the slope of the perpendicular line is -\frac{1}{m}.

For our case y=\frac{3}{2}x-\frac{1}{2} therefore the slope of the prependicular is the reciprocal of \frac{3}{2} multiplied by -1.

\therefore\:slope=-\frac{2}{3}.

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3 years ago
A triangle is removed from the rectangle. Find the area of the remaining figure.
Mariulka [41]

Answer

C) 160 in^2


Step by step explanation

First, let's find the area of the rectangle.

Area of a rectangle = length x width

The area of the rectangle = 20 * 10

= 200 in^2

Now let's find the area of the triangle that is removed.

Area of a triangle = 1/2 base * height.

Here base = 10 and height = 8. Plug in these values into the formula, we get

Area of the triangle = 1/2 * 10*8

= 5* 8

The area of the triangle = 40 in^2

The area of the remaining figure = Area of the rectangle - area of the triangle

=  200 - 40

= 160 in^2

The answer is "160 in^2"

Thank you.

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3 years ago
Suppose a different student reaches in the bag, randomly selects their twenty chips, and estimates that 60% of the students are
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3 years ago
Factor the expression and simplify as much as possible. 24x(x2 1)4(x3 1)5 42x2(x2 1)5(x3 1)4
zmey [24]

Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]

Step-by-step explanation:

=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4

Remove the brackets first

=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]

=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]

=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)

Then the common:

=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]

=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]

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3 years ago
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