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melisa1 [442]
3 years ago
13

(4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y) i need help solving

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer:

\huge \boxed{11x^2 y^3-4xy^2 }

Step-by-step explanation:

(4x^2y^3  + 2xy^2  - 2y) - (-7x^2 y^3  + 6xy^2  -2y)

Distribute the negative sign to the terms in the bracket.

(4x^2y^3  + 2xy^2  - 2y) +7x^2 y^3  - 6xy^2  +2y

Grouping like terms.

(4x^2y^3 +7x^2 y^3) + (2xy^2 - 6xy^2 ) +( - 2y   +2y)

Combining like terms.

(11x^2 y^3) + (-4xy^2 ) +(0)

11x^2 y^3-4xy^2

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The expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s

<h3>What is the perimeter?</h3>

The formula for perimeter of a triangle is expressed as;

Perimeter = a + b + c

Where a , b and c are the lengths of its side

  • (q+r)
  • (5q-10s)
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Now, let's substitute the values

Perimeter = (q + r) + (5q - 10s) + (5s - 7r)

expand the bracket

Perimeter = q + r + 5q - 10s + 5s - 7r

collect like terms

Perimeter = q + 5q + r - 7r -10s + 5s

Add like terms

Perimeter = 6q - 6r - 5s

Thus, the expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t
gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

<em>Represent price of Cake with C and Price of Pie with P</em>

C = 9 + P

Cakes sold = 8

Pies sold = 14

Total = \$402

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

8C + 14P = 402

Substitute 9 + P for C

8(9+P) + 14P = 402

Open the bracket

72 + 8P + 14P = 402

Collect Like Terms

8P + 14P = 402 - 72

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Divide both sides by 22

P = \frac{330}{22}

P = 15

Recall that

C = 9 + P

C = 9 + 15

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