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erik [133]
2 years ago
13

The density of liquid a is 8 pounds per gallon and the density of liquid b is 6 pounds per gallon. what quantity of liquid b wei

ghs the same as 30 gallons of liquid a?
Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

40 gallons of liquid b weighs the same as 30 gallons of liquid a.

<h3>What is density?</h3>

A substance's density is defined as its mass per unit volume (more specifically, the volumetric mass density; also known as specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Density is mathematically defined as mass divided by volume.

where m is the mass, V is the volume and D is the density, which is sometimes roughly characterized as weight per unit volume, while this is incorrect scientifically; this quantity is more precisely known as specific weight.

For liquid a,

8= mass/30

For liquid b,

6=mass/volume

For the two masses to be equal,

240=6*volume

volume=240/6

volume=40

Learn more about density here:

brainly.com/question/1354972

#SPJ4

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A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?
pychu [463]

Answer:

55°

Step-by-step explanation:

triangle= 180°

third angle= 180-90-35

= 55°

4 0
2 years ago
What are the solutions to
Svetllana [295]

Answer:

B and F

Step-by-step explanation:

Given

x² + 4x + 4 = 12 ( subtract 4 from both sides )

x² + 4x = 8

Using the method of completing the square to solve for x

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 8 + 4, that is

(x + 2)² = 12 ( take the square root of both sides )

x + 2 = ± \sqrt{12} ( subtract 2 from both sides )

x = ± \sqrt{12} - 2

  = ± 2\sqrt{3} - 2

Hence

x = 2\sqrt{3} - 2 → B

x = - 2\sqrt{3} - 2 → F

4 0
3 years ago
A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each packa
Sveta_85 [38]

Answer:

  more than 1100

Step-by-step explanation:

The contribution margin for each package sold is ...

  $6.50 -3.00 = $3.50

The number of packages that must be sold to cover fixed costs is ...

  3.50n > 3850

  n > 1100 . . . . . . . divide by 3.50

The company will generate a profit if more than 1100 packages are produced and sold each week.

_____

<em>Additional comment</em>

If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.

5 0
2 years ago
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0+ (2x + 1)
ElenaW [278]

\displaystyle\lim_{x\to0^+}(2x+1)\cot x=\lim_{x\to0^+}\frac{2x+1}{\tan x}

As x\to0, the numerator approaches 1 while \tan x\to0, but since x\to0 from above we have \tan x>0, which suggests the limit is +\infty.

3 0
3 years ago
Ted brought a cooler containing 7.5 liters of water to a picnic. If 500 milliliters of water are served to each person, how many
bekas [8.4K]
Answers:
k = 13The smallest zero or root is x = -10
===============================
Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
7 0
3 years ago
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