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DedPeter [7]
3 years ago
8

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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Michele bought 3.50 pounds of dried fruit for $11.55. Her friend buys 7.25 pounds of peanuts for $25.38. Which is less expensive
Kisachek [45]

Answer:

fruit cost less by the

Step-by-step explanation:

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

8 0
3 years ago
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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:

<u>Sides of the garden</u>

  • 16 feet and 8 feet

<u>New dimensions of the garden</u>

  • 16 + 2x and 8 + x

<u>1. The area of the new garden</u>

  • (16 + 2x)(8 + x) =
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<u>2. The difference in area </u>

  • 2x^2 + 32x + 128 - 16*8 =
  • 2x^2 + 32x

<u>3. x= 2 effect on the area</u>

  • 2*2^2 + 32*2 =
  • 8 + 64 =
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<u>4. Area difference = 160</u>

  • 2x^2 + 32x = 160
  • x^2 + 16x - 80 = 0
  • Solving we get positive root of 4 ft

<u>5. Area difference = 4 times</u>

  • 2x^2 + 32x = 128*3
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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}

8 0
3 years ago
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number 7: always bisect

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