Convert the decimal expansion 0.291666... to a fraction.

2 answers:

8 0

$0.291666...=\dfrac{291.666...}{1000}=\dfrac{291\frac{2}{3}}{1000}=\dfrac{\frac{875}{3}}{1000}=\dfrac{875}{3000}=\dfrac{125\cdot 7}{125\cdot 24}=\boxed{\dfrac{7}{24}}$

NNADVOKAT [17]2 years ago

7 0

Pa arti tu fraction

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In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y. The diagram is not draw

Nana76 [90]

Answer:

see explanation

Step-by-step explanation:

Using the property of parallelograms

• The diagonals bisect each other, hence

DH = HF and GH = HE

x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5

Solving the 2 equations simultaneously

x + 1 = 3y → (1)

3x = 5y + 5 → (2)

rearrange (1) expressing x in terms of y

x = 3y - 1 → (3)

substitute x = 3y - 1 in (2)

3(3y - 1) = 5y + 5

9y - 3 = 5y + 5 ( subtract 5y from both sides )

4y - 3 = 5 ( add 3 to both sides )

4y = 8 ( divide both sides by 4 )

y = 2

substitute y = 2 into (3)

x = (3 × 2) - 1 = 6 - 1 = 5

Hence x = 5, y = 2

3 0

2 years ago

Can somone please help me

Georgia [21]

Answer:

Is correct cus a straight line is 180

4 0

2 years ago

Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller shar

Dafna1 [17]

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!

The two shares are in the ratio of 2:3, so set up the proportion

$\frac{x}{1785-x}=\frac{2}{3}$