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aleksandrvk [35]
3 years ago
14

Can someone please help me with math.

Mathematics
2 answers:
Inessa05 [86]3 years ago
8 0

4- 20

I created an equation for this one:

4x+x=100

  • 4x= four times the amount of the other number
  • x= the number
  • combine like terms

5x=100

  • divide by 5

x=20

5. One pretzel costs $3

Create an equation:

  • 2s+p=7
  • 4s+3p=17

Mulitply 2s+p=7 by -2 so you can use elimination.

  • -4s-2p=-14
  • 4s+3p=17

Combine equations

p=3

Contact [7]3 years ago
7 0
For #3
there will be 8 geese and 12 pigs

the equation would be first to find out how many geese there are

pigs have 4 feet and geese have 2
g=geese p=pigs

4(20-g)+2g=8

now we know there are 8 geese which is 8•2 so 16 feet!

now use what we know to find out how many pigs there are

20-8 is 12 which means 12 pigs or 12•4 which means 48 feet

you can check it by adding the feet and animals

12+8=20 animals
48+16=64 feet!
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Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒       Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $ \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $ \frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)} $

$ = \frac{-7 \pm \sqrt{49 + 8(99)}}{4} $

$ = \frac{-7 \pm + \sqrt{841}}{4} $

Since, $ \sqrt{841} = 29 $ we get:

$ w = \frac{-7 \pm 29}{4} $

This gives two values of 'w', viz., w = $ \frac{-7 - 29}{4} $, $ \frac{-7 + 29}{4} $

$ \implies w = \frac{22}{4}, \frac{-36}{4} $

⇒ w = $ \frac{22}{4} $, -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

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Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

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3 years ago
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~~~~~~\dfrac{2x-3}{4} = 3x\\\\\implies 2x-3 = (3x)(4)\\\\\implies 2x -3 = 12x \\\\\implies 12x -2x = -3\\\\\implies 10x = -3\\\\\implies x = -\dfrac{3}{10}

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2 years ago
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Answer:  b) 16

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64^{\frac{2}{3}}=(2^6)^{\frac{2}{3}}=2^{\frac{12}{3}}=2^4=2\cdot \cdot 2\cdot 2\cdot 2=\boxed{16}

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