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3 years ago

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Mathematics

1 answer:

adell [148]3 years ago

4 0

Answer:

$x + y = 1042$

$1.5x + 0.75y = 1140$

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of regular fares paid.

y is the number of reduced fares paid.

1,042 total fares were paid

This means that $x + y = 1042$

A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75.

This means that:

$1.5x + 0.75y = 1140$

System of equations:

The system of equations is:

$x + y = 1042$

$1.5x + 0.75y = 1140$

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Determine the measure of each segment then indicate whether the statements are true or false

kupik [55]

Answer:

$d_{AB}\ne d_{JK}$

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$d_{GH}\ne \:d_{JK}$

Therefore,

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Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)

B(2, 5)

Finding the length of AB using the formula

$d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}$

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$=\sqrt{36+1}$

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Given the vertices of the segment JK

J(2, 2)

K(7, 2)

From the graph, it is clear that the length of JK = 5 units

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Given the vertices of the segment GH

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H(-2, -2)

Finding the length of GH using the formula

$d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}$

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$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$d_{GH}\:=\:3$ units

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$d_{AB}=6.08$

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$d_{GH}\:=\:3$

Thus,

$d_{AB}\ne d_{JK}$

$d_{AB}\ne \:d_{GH}$

$d_{GH}\ne \:d_{JK}$

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

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