Question

evaluate
$( - 20) + ( - 8) \div ( - 2) \times 3$
(-20) + (-8) + (-2) x3 ​

Answer 1

Step-by-step explanation:

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In free math answers, these are the questions asked by the students to show it in step-by-step solution.

1. In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:

(a) 5, (b) 7, (c) 10, (d) 12, (e) 14

Solution:

Let the number of cows be x and their legs be 4x.

Let the number of chicken be y and their legs be 2x.

Total number of legs = 4x + 2y.

Total number of heads = x + y.

The number of legs was 14 more than twice the number of heads.

Therefore, 2 × (x + y) + 14 = 4x + 2y.

or, 2x + 2y + 14 = 4x + 2y.

or, 2x + 14 = 4x [subtracting 2y from both sides].

or, 14 = 4x – 2x [subtracting 2x from both sides].

or, 14 = 2x.

or, x = 7 [dividing by 2 on both sides].

Therefore, the number of cows = 7.

Answer: (b)

2. The roots of the equation ax2 + bx + c = 0 will be reciprocal if:

(a) a = b, (b) a = bc, (c) c = a, (d) c = b, (e) c = ab.

Solution:

Let k be one of the root of the given equation.

According to the problem,

1/k will be the other root of the given equation.

We know that, product of the roots of the equation = c/a.

Therefore, k × 1/k = c/a.

or, 1 = c/a.

or, a = c [multiplying a on both sides].

The roots of the equation ax2 + bx + c = 0 will be reciprocal if a = c.

Therefore, a = c or c = a.

Answer 2

Step-by-step explanation:

−20+−8/−2(3)

=−20+(4)(3)

=−20+12

=−8

Let's simplify step-by-step.

−20−8−2x3

=−20+−8+−2x3

Combine Like Terms:

=−20+−8+−2x3

=(−2x3)+(−20+−8)

=−2x3+−28

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