Mathematics, 23.10.2019 19:00 gwen8605

Write the ratio in three different formats: in a year, there are 4 months that have 30 days. write a ratio of the months with 30 days to the months with other than 30 days. a.1 to 3, 1: 3, 1/3b.1 to 2, 1 : 2, 1/2
c.2 to 1, 2: 1, 2/1
d.3 to 1, 3: 1, 3/1

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This problem is an example of ratio and proportion. A ratio is a comparison between two different things. You are given 4 months that have 30 days. You are required to get the ratio of the months with 30 days to the remaining months that have a different number of days. First, you will get the ratio as 4/30 = 2/15. Assuming that the other months also has 30 days. Then the second ratio is 8/30 = 4/15. Multiply 2/15 to 15/4 you will get ½. Other forms of this is 1:2 or 1 is to 2. The answer is B.

Answer from: AniyahM17

So find the amount of months that don't haave 30 days
12 months total
4 have 30 days
12-4=8
so the ratio of months that have 30 days to the months that do not havve 30 days is 4 to 8 or 4:8
this can be simplified like a fraction
4:8 4/8=1/2
ratio is
1 to 2, 1:2, 1/2

answer is B

Answer from: Quest

$18 was the price of the t-shirt

step-by-step explanation:

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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