Mathematics, 22.09.2019 22:30 ibidnnudny2623

Nicci's sister is 7 years less than twice nicci's age, a. the sum of nicci's age and her sister's age is 41. which equation represents this relationship?

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Answer from: 81074

The equation that represents this relationship is:

3x - 7 = 41

Let Nicci's age be represented by x

Twice Nicci's age = 2x

Nicci's sister's age = 2x - 7

Sum of Nicci's age and her sister's age = x + 2x - 7

Sum of Nicci's age and her sister's age = 3x - 7(*)

Sum of Nicci's age and her sister's age = 41(**)

Compare equations (*) and (**)

3x - 7 = 41

The equation that represents this relationship is:

3x - 7 = 41

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Answer from: actived

a+(2a-7)=41

Step-by-step explanation:

Let be "a" the Nicci's age and "s" the Nicci's sister.

You know that the sum of Nicci's age and her sister's age is 41. This can be represented with the following equation:

a+s=41

And knowing that Nicci's sister is 7 years less than twice Nicci's age, you can write another equation to represent this:

s=2a-7

Now, substitute the second equation into the first equation in order to find the equation that represents this relationship.

Then, this is:

a+(2a-7)=41

Answer from: Quest

i dont know sorry

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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