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3 years ago

Subtract. Write your answer in simplest form. 5/6 - 2/9

Mathematics

2 answers:

Sati [7]3 years ago

8 0

Answer:

11/18

Step-by-step explanation:

5/6 - 2/9 = 15/18 - 4/18 = 11/18.

Ludmilka [50]3 years ago

8 0

Answer:

Step-by-step explanation:

step 1: $\frac{5}{6}-\frac{2}{9}$

step 2- make the denominators the same: $\frac{45}{54} - \frac{12}{54}$

simplify: $\frac{42-12}{54}$

final answer: $\frac{30}{54} --> \frac{15}{27}-->\frac{5}{9}$

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Kisachek [45]

Answer:

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one pound of fruit cost 3.30 and peanuts cost 3.50 per pound

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3 years ago

Read 2 more answers

Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing

Cloud [144]

Answer:

See below

Step-by-step explanation:

Sides of the garden

16 feet and 8 feet

New dimensions of the garden

16 + 2x and 8 + x

1. The area of the new garden

(16 + 2x)(8 + x) =
2x^2 + 32x + 128

2. The difference in area

2x^2 + 32x + 128 - 16*8 =
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3. x= 2 effect on the area

2*2^2 + 32*2 =
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72 ft²

4. Area difference = 160

2x^2 + 32x = 160
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5. Area difference = 4 times

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2x^2 + 32x - 384 = 0
x^2 + 16x - 192= 0
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3 0

3 years ago

You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

$Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}$

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