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adell [148]
2 years ago
12

Which inequality is equivalent to 5(2x-6)+6(3-x)<2x+4

Mathematics
1 answer:
Shalnov [3]2 years ago
7 0

Answer: x < 8\\

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Interval Notation: (-∞, 8)

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89,235 written in expanded form? (2 points)
Rashid [163]
A because, all the numbers multiplied by those factors equals their spot in the number
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3 years ago
What is the equation of the line perpendicular to y= 2/3x+1 that passes through the point (12, 6)?
charle [14.2K]

Answer:

y=(-3/2)x+24

Step-by-step explanation:

a perpendicular line should have the negative reciprocal of the line that it is perpendicular to.

negative reciprocal of 2/3 is -3/2

out line should look something like this

y=(-3/2)x+b

then we use the given point to find b

6=(-3/2)12+b

6=-18+b

b=24

6 0
4 years ago
I need help figuring out “What is 20% of 890”
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3 years ago
Read 2 more answers
A gallon of milk cost $2.90 in 2002. In 2018, it cost
lutik1710 [3]

Answer:

<em>The cost of a gallon of milk changed 31%</em>

Step-by-step explanation:

<u>Percent Change</u>

Is the difference between two values of the same variable in different times or conditions, expressed as a percentage of the original value.

The formula is:

\displaystyle Pc=\left |\frac{v1-v2}{v1}  \right |\cdot 100\%

Where

v1 = original value

v2 = final value

The gallon of milk cost v1=$2.90 in 2002 and v2=$3.80 in 2018. The percent change is:

\displaystyle Pc=\left |\frac{2.90-3.80}{2.90}  \right |\cdot 100\%

\displaystyle Pc=\left |\frac{-0.9}{2.90}  \right |\cdot 100\%

Pc = 31%

The cost of a gallon of milk changed 31%

8 0
3 years ago
What is the angle measure of an arc bounding sector with an area of 5pie square miles?
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if the diameter is 20, the its radius must be half that or 10.

\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=5\pi \\ r=10 \end{cases}\implies \begin{array}{llll} 5\pi =\cfrac{\theta \pi (10)^2}{360}\implies 5\pi =\cfrac{5\pi \theta }{18} \\\\\\ \cfrac{5\pi }{5\pi }=\cfrac{\theta }{18}\implies 1=\cfrac{\theta }{18}\implies 18=\theta \end{array}

8 0
3 years ago
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