MATHEMATICS HIGH SCHOOL

5(x-6)+ 3x = 3/4(2x-8)

Answers

Answer 1

Answer:

Answer:

x = 3.69 (3 significant figures)

Step-by-step explanation:

5(x - 6) + 3x = 3/4(2x - 8)

5x - 30 + 3x = 1.5x - 6

5x + 3x - 1.5x = 30 - 6

6.5x = 24

x = 3.6923 (5 significant figures)

x = 3.69 (3 significant figures)

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Find the area of the triangle

Answers

Hello!

To find the area of a triangle, first multiply the base by the height. Afterwards, divide the product by 2.

Base: The bottom side of the triangle.
Height: The distance from the bottom to the top of the triangle.

Base = 13
Height = 18.2

13 × 18.2 = 236.6

Now we do the final step, which is to divide by 2.

236.6 ÷ 2 = 118.3

118.3 is your answer.

But why do we divide the product of the base and the height by 2? This is because a triangle is recognized as half of a rectangle/square.

:)

I think it should be 118.3 the equation is base times height divided by two equals the area

A line has a rise of 6 and a slope of 1/20. What is the run?30
90
120
What is the answer please help.
Thank you

Answers

Answer:

$\boxed{\boxed{\text{Run}=120}}$

Step-by-step explanation:

From coordinate geometry we know that, slope is ratio of vertical change rise and the horizontal change run.

Mathematically,

$\text{Slope}=\frac{\text{Rise}}{\text{Run}}$

Putting the given values,

$\Rightarrow (1)/(20)=\frac{6}{\text{Run}}$

$\Rightarrow \text{Run}=6* 20$

$\Rightarrow \text{Run}=120$

Rise/Run=(Y-y)/(X-x)

6/Run=1/20=6/120

Say that R=Run

6/R=6/120

720/R=6

6R=720

R=720/6=120

Therefore Run=120.

Kitchen chairs are purchased wholesale for $36 by a discount furniture store. Then, the store marks up the chairs by 60 percent. The store has a special sale where all items are marked down by 20 percent. How much would two chairs cost during the sale?

Answers

As a result of the sale, two chairs can be purchased at the discounted price of $92.16.

After the store bought the chairs for $36, they gave it a markup of 60%. The new price is:

= Cost of chair + Markup

= 36 + (60% x 36)

= $57.60

They then reduced this price by 20%:

= Marked up price - Discount

= 57.60 - (20% x 57.60)

= $46.08

Two chairs are to be bought:

= 46.08 x 2

= $92.16

In conclusion, two chairs would cost $92.16

Find out more at brainly.com/question/18410539.

starts at 36....marks up by 60%
36 + 0.60(36) = 36 + 21.60 = 57.60
now they mark it down by 20%
57.60 - 0.20(57.60) = 57.60 - 11.52 = 46.08

46.08 * 2 = 92.16

(x³-9x)/(x²-2x-3) is equal to

Answers

Answer:

Step-by-step explanation:

A storage company has a rectangular storage area 20m long, 8m wide and 2.8m wide. How many boxes of dimensions 1m x 0.5m x 2.5m can fit into this storage area?

Answers

For this question I think you can find the volume of the storage room and then divide that by the volume of the boxes going into the storage room to see how many boxes can fit into it.
448 cubic meters in the storage area divided by 1.25 cubic meters per box equals 358.4 boxes.

you might need to put 358 since it would be weird to only have .4 of a box.

Find all solution of the equation.
y=-x
y=xlnx

Answers

$\left\{\begin{array}{ccc}y=-x\ny=xlnx\end{array}\right;\ \ \ D:x\in\mathbb{R^+}\n\nxlnx=-x\n\nxlnx+x=0\n\nx(lnx+1)=0\iff x=0\notin D\ or\ lnx+1=0\n\nlnx=-1\iff x=e^(-1)\to x=(1)/(e)\in D\n\nAnswer:x=(1)/(e)\ and\ y=-(1)/(e)$

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