Mathematics, 05.09.2019 22:30 mxrvin7383

Amanda and fred are sister and brother. amanda has twice as many sisters as brothers, and fred has five times as many sisters as brothers. how many girls and boys are there in this family

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Answer from: guendyg04

In this family there are 5 girls and 2 boys

Step-by-step explanation:

Fred has five times as many sisters as brothers, so at least he has five sisters.

1. Let's suppose Fred has just one brother, in this case he would have five sisters (including Amanda). The condition that Fred has five times as many sisters as brothers is fufilled.

2. If Fred has one brother, it means that Amanda has two brothers

3. If Fred has five sisters (including Amanda), it means that Amanda has four sisters.

4. If Amanda has two brothers and four sisters, the condition that she has twice as many sisters as brothers is fufilled.

5. Then, in both cases, there are 5 girls and 2 boys:

Fred + 1 brother + 5 sisters = 2 boys, 5 girls

Amanda + 2 brothers + 4 sisters = 2 boys, 5 girls

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

Answer from: Quest

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

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Amanda and fred are sister and brother. amanda has twice as many sisters as brothers, and fred has f...