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2 years ago

Gordon buys an antique teapot for £95.

Mathematics

1 answer:

alexgriva [62]2 years ago

7 0

so he got for £95 and sold it for £133, so hmmmm the difference is simply £38.

if we take 95 to be the 100%, what is 38 off of it in percentage?

$\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 95 & 100\\ 38& x \end{array} \implies \cfrac{95}{38}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40$

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What's the answer and the work

erma4kov [3.2K]

For the first 6 trips she walked 3.2 kilometers and for the next 6 she made another 3.2 which would be 6.4 kilometers for 12 trips now she made 3 more trips which is half of the amount she originally did so it would be half of the distance also so 3.2 divided by 2 is 1.6 kilometers so for the last 3 trips she walked 1.6 kilometers. now add up all the distance she walked so 6.4 kilometers for the 12 trips plus the 1.6 for the other 3 trips is 8 kilometers in total. she walked 8 kilometers after 15 trips.

3 0

3 years ago

Pls helppp me with this

Annette [7]

Answer:

Step-by-step explanation:

Applying,

The angle bisector theorem of triangle

From the diagram,

Since ΔAMT is an issoceless triangle,

Then,

Line OA divides Line MT into two equal parts.

Therefore,

Line MO = Line OT.............. Equation 1

From the diagram,

Line MO = 4x-1, Line OT = 3x+3

Substitute into equation 1

4x-1 = 3x+3

Collect like terms

4x-3x = 3+1

x = 4.

Therefore,

OT = 3(4)+3

OT = 12+3

OT = 15

7 0

3 years ago

Use the data in the table below and a graphing calculator to describe how a linear model compares to a quadratic model. Analyze

Delvig [45]

The quadratic model and the linear model of the table of values are the same

<h3>The linear model of the data</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 0
Sum of Y = 113
Mean X = 0
Mean Y = 22.6
Sum of squares (SSX) = 10
Sum of products (SP) = 28

The regression equation is

y = mx + b

Where

m = SP/SSX = 28/10 = 2.8

b = MY - bMX = 22.6 - (2.8*0) = 22.6

So, we have:

y = 2.8x + 22.6

See attachment for graph (1)

<h3>The quadratic model of the data</h3>

To do this, we make use of a graphing calculator.

From the graphing calculator, we have the following summary:

a = 0
b = 2.8
c = 22.6

0 X^2 +2.8 X +22.6

The regression equation is

y = ax^2 + bx + c

So, we have:

y = 0x^2 + 2.8x + 22.6

See attachment for graph (1)

<h3>Why both graphs look the same</h3>

The graphs look the same because when the quadratic model is simplified, it gives the linear model.

This in other words mean that:

The quadratic model and the linear model of the table of values are the same