Mai walked 1/8 of a 30-mile walking trail.How many miles did mai walk

Mathematics

1 answer:

Ket [755]3 years ago

0 0

Answer:

3 3/4 OR 3.75

Step-by-step explanation:

If Mai walked 1/8 of a total 30 miles then you multiply both of them in fraction form, so you find the one eighth,

$\frac{30}{1} * \frac{1}{8}$ now we multiply the numerators and denominators

30 * 1 = 30 1 * 8 = 8

30/8 now we divide

3 3/4 or 3.75

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Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4

Dima020 [189]

Step 1. Solve both inequalities for $y$ :
$3x+y\ \textgreater \ -3$
$y\ \textgreater \ -3x-3$

$x+2y\ \textless \ 4$
$2y\ \textless \ -x+4$
$y\ \textless \ - \frac{1}{2} x+2$

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines $-3x-3$ and $- \frac{1}{2} x+2$ :

$y=-3x-3$ (1)
$y=- \frac{1}{2} x+2$ (2)

Replace (1) in (2):
$-3x-3=- \frac{1}{2} x+2$
Solve for $x$ :
$\frac{5}{2} x=-5$
$x=-2$ (3)

Replace (3) in (1):
$y=-3x-3$
$y=-3(-2)-3$
$y=6-3$
$y=3$

We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.