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3 years ago

Expressions equivalent 5(4n-11) - 3n + 20

Mathematics

1 answer:

avanturin [10]3 years ago

6 0

5(4n-11) - 3n + 20

To get equivalent expression we remove the parenthesis and combine like terms

We distribute 5 inside the parenthesis 4n - 11

5 times 4n = 20n

5 times -11 = -55

So expression becomes

20n - 55 - 3n + 20

Now we combine like terms

20n and -3n are like terms

20n - 3n is 17n, also -55 + 20 is -35

so expression becomes -17n -35

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Evaluate the difference between 5.1 and 1.8

Crank

Step-by-step explanation:

to evaluate the difference between them so,

subtract 1.8 by 5.1

so,

5.1 - 1.8 = 3.3

so difference between them is 3.3

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3 years ago

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Find the solution(s) for x in the equation below.

Kobotan [32]

Answer:

D) x=5, x=-5.

Step-by-step explanation:

x^2-25=0

factor

(x+5)(x-5)=0

x+5=0, x-5=0,

x=0-5=-5,

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3 years ago

Neil has 3 partially full cans of white paint. They cantain 1/3 gallon, 1/5 gallon, and 1/2 gallon of paint. About how much pain

Marianna [84]

Answer:

1 1/30 gallons, or 31/30 gallons of paint

Step-by-step explanation:

Before these fractions can be added together they have to have a common denominator. The Least Common Multiple of 2, 3, and 5 is 30, so

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3 years ago

Both lines pass through the point (-3,-4). one has a slope of 4 and the other has a slope of -1/4

Alchen [17]

If the question is to find the slope-intercept form of both lines, here's the answer:
Both lines pass through the point (-3,-4), so we can use these coordinates in both equations. The slope-intercept form is represented by y=mx+b, with m the slope, b the intersection of the line with Y'Y for x=0, y and x the coordinates of a point.
Let's first apply all these for the first line, with a slope of 4.
y = mx + b
y=-3; x=-4; m=4. All we need to do is find b.
-3 = 4(-4) + b
-3 = -16 + b
b=13
So the equation of the first line is y= 4x + 13.

Now, we'll do the same thing but for the second line:
y=-3; x=-4; m=-1/4, and we need to find b.
-3 = (-1/4)(-4) + b
-3 = 1 + b
b= -4
So the equation of the second line is y=(-1/4)x - 4

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3 years ago

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function

Serggg [28]

P(x) = 12x – 180

Given:

A company makes and sells charm bracelets.

The cost of producing x bracelets is represented by the function C(x) = 180 +

The revenue earned from selling x bracelets is represented by the function

R(x) = 20x.

Explanation of terms:

For x bracelets,

Cost of production is C(x); C(x) = 180 + 8x

Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown

Profit made = Revenue earned – Cost of production

∴ P(x) = R(x) – C(x)

P(x) = 20x – (180 + 8x)

P(x) = 20x – 180 – 8x

P(x) = 12x – 180

The profit made from selling x bracelets is represented by the function

P(x) = 12x – 180

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3 years ago

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