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Naily [24]
3 years ago
15

A bag has 30 tiles, numbered 1-30. Write the ratio even tiles to odd tiles in simplest form.

Mathematics
1 answer:
guapka [62]3 years ago
4 0

Answer:

r=1

Step-by-step explanation:

<u>Ratio of Values </u>

A ratio compares two values by diving them. If the ratio is greater than one, then the value in the numerator is greater than the value in the denominator. The opposite relation gives ratios lower than 1. A ratio of 1 means both values are the same

We have a set of tiles numbered 1 to 30:

1,2,3,4,5,6...,29,30

Note that each odd-numbered tile is followed by an even-numbered tile. It means we have 15 odd tiles and 15 even tiles. The ratio is

\displaystyle r=\frac{even}{odd}

\displaystyle r=\frac{15}{15}

r=1

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Derek buys a house for £150,000
Elden [556K]

Answer:

cost price=$150,000

selling price =$154,000

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Therfore Percentage Profit= 4,000÷15,000×100=2.7%

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Carpenters use a tool called a speed square to help them mark right angles . A speed square is a right triangle
Ronch [10]

Answer:

A. Area = \frac{1}{2}(2x^2 - 2x - 24)

B. Area = 3.75 in^2

Step-by-step explanation:

A. Area = \frac{1}{2}bh

Where,

b = 2x + 6

h = x - 4

Plug in the values to get a polynomial that represents the area of the tool

Area = \frac{1}{2}(2x + 6)(x - 4)

Area = \frac{1}{2}(2x(x - 4) + 6(x - 4)

Area = \frac{1}{2}(2x^2 - 8x + 6x - 24)

Area = \frac{1}{2}(2x^2 - 2x - 24)

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24)

Area = \frac{1}{2}(2(20.25) - 9 - 24)

Area = \frac{1}{2}(40.5 - 9 - 24)

Area = \frac{1}{2}(7.5)

Area = 3.75 in^2

8 0
3 years ago
A family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of
Aliun [14]
Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
.. 40x +35y = 1525 . . . . total miles driven = 1525

Multiply the first equation by 40 and subtract the second.
.. 40(x +y) -(40x +35y) = 40(40) -(1525)
.. 5y = 75
.. y = 15
.. x = 40 -15 = 25

The 40 mpg car consumed 25 gallons.
The 35 mpg car consumed 15 gallons.
7 0
3 years ago
Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers​
lidiya [134]

Answer:

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

Step-by-step explanation:

We are given x=\sqrt{3}-1 and we are asked to find the value of x^2-x+1.

So we will need to find x^2.

x=\sqrt{3}-1

Square both sides:

x^2=(\sqrt{3}-1)^2

Expand using identity: (x-a)^2=x^2-2ax+a^2.

x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2

x^2=3-2\sqrt{3}+1

x^2=4-2\sqrt{3}

Let's go back to the full x^2-x+1.

x^2-x+1

(4-2\sqrt{3})-(\sqrt{3}-1)+1

4-2\sqrt{3}-\sqrt{3}+1+1

6-3\sqrt{3}

If you compare this to a+b\sqrt{3}, then a=6 and b=-3.

5 0
4 years ago
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