How many integer-valued solutions are there to each of the following equations and inequalities?a) x1 + x2 + x3 + x4 + x5 = 63, all xi > 0.b) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0.c) x1 + x2 + x3 + x4 + x5 ≤ 63, all xi ≥ 0.d) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0, x2 ≥ 10.e) x1 + x2 + x3 + x4 + x5 = 63, all xi ≥ 0, x2 ≤ 9.

a. 3/4 ÷ 1/8 = 6

step-by-step explanation:

in the question, the number line represents 3/4 divided into 6 equal units. each arrow represents a unit and there are a total of six arrows.

the size of each unit is 1/8 as shown.

showing that 1/8 divides 3/4 into 6 divisions:

3/4 ÷ 1/8

= 3/4 x 8/1

= 3/1 x 8/4

= 3 x 2

= 6

hence, the number line represents six divisions given by 3/4 ÷ 1/8.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

$119.20

step-by-step explanation:

$372.50 - 60% off is $149. $149-20% off is $119.20

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)