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denis-greek [22]
3 years ago
14

6. Juan recibe de su papá, quien tiene un negocio de maquinitas, su mesada semanal de $62.000 en monedas de $200,

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
7 0

Answer:

15100

Step-by-step explanation:

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A carpenter is making a rectangular form for a concrete pad she wants the length of the path to be 11 feet more than the width o
Basile [38]

Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

<u>Given the following data;</u>

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

l = 11 + w

<em>We know that, the area of rectangle, A = length * width</em>

A = l*w

<em>Substituting the values into the equation, we have;</em>

80 = (11 + w)w

<em>Expanding the bracket, we have;</em>

80 = 11w + w^{2}

w^{2} + 11w - 80 = 0

*Solving the quadratic equation by using factorization method*

w^{2} + 16w - 5w - 80 = 0

w(w + 16) - 5(w + 16) = 0

(w - 5)(w + 16) = 0

Width, w = 5 feet or w = -16 feet.

<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>

<em>To find its length, l;</em>

l = 11 + w

When w = 5 feet

l = 11 + 5

Length, l = 16 feet

When w = - 16 feet

l = 11 + (-16)

l = 11 - 16

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.

6 0
3 years ago
If the 9th term of an ap is 1/7 and the 7th term os 1/9 find the 63rd term
Mnenie [13.5K]

Answer:

a_{63} = 1

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

use the 9 th term and 7 th term to find a and d

a_{9} = a + 8d = \frac{1}{7} → (1)

a_{7} = a + 6d = \frac{1}{9} → (2)

Subtract (2) from (1) term by term

2d = \frac{2}{63} ⇒ d = \frac{1}{63}

Substitute this value into (2) and solve for a

a + \frac{6}{63} = \frac{1}{9}

a = \frac{1}{9} - \frac{6}{63} = \frac{1}{63}

Hence

a_{63} = \frac{1}{63} + \frac{62}{63} = 1


5 0
3 years ago
50 POINTS
larisa86 [58]

Answer:

see below

Step-by-step explanation:

f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5

f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559

g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72

h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337

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3 years ago
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8 ounces because 1 quart equals 36 ounces. 36 Divided by her and her 3 friends equals 8 since 36 divided by four equals eight.
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Solve 8p = 40 using mental math<br><br> A 32 B6 C 5 D 4
Anastaziya [24]

Answer:

B

Step-by-step explanation:

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3 years ago
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