Mathematics, 04.02.2020 18:45 tyricqreed91

Tom took a trip of 1,300 miles. he traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. how many hours did the trip take? 3 hours 4 hours 8 hours

Answers: 2

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Answer from: Nicoleazaria

x/50 = (1300-x)/275

cross multiply

275x = 65000-50x

325x=65000

x = 65000/325 = 200 ( distance traveled by train)

1300-200 = 1100 miles by plane

200/50 = 4 hours by train

1100/275 = 4 hours by plane

4 + 4 = 8 hours

Answer from: natalie2sheffield

C. 8 hours.

Step-by-step explanation:

Let x be the number of hours spent while traveling by train and y represent number of hours spent while traveling by plane.

We have been given that Tom spent same number of hours by plane and by train, so we can represent this information in an equation as:

x=y...(1)

The train covers 50 miles in 1 hour, so distance covered by train in x hours would be 50x.

The plane covers 275 miles in 1 hour, so distance covered by plane in y hours would be 50x.

We have been given that Tom took a trip of 1300. We can represent this information in an equation as:

50x+275y=1300...(2)

Substituting equation (1) in equation (2) we will get,

50x+275x=1300

325x=1300

$\frac{325x}{325}=\frac{1300}{325}$

x=4

Since x=y , therefore, y=4 .

To find the total time spent we need to add x and y.

x+y=4+4=8

Therefore, the trip took 8 hours and option C is the correct choice.

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

if you need , reply with more info. u.

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