Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?

NO LINKS! ​

Answers

Answer 1

Answer:

y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from home

Step-by-step explanation:

a) Let t represent the clock time (hours after midnight). The distance from home will be ...

  distance = speed × time

  jonah = 40(t -7)

  jesse = 50(t -10)

  jonah = jesse . . . . . . . same distance from home at the same time

(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)

__

b) substituting the first two equations into the second, we get ...

  40(t -7) = 50(t -10)

  4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses

  22 = t

Jonah and Jesse will be at the same place at 10 p.m.

__

c) We can find the distance by substituting into either equation.

  jonah = 40(22 -7) = 40(15) = 600

They will be 600 miles from home at that time.


Related Questions

The rectangular prism shown is formed by six intersecting planes.

Where do the planes ABFE and EFGH intersect

Answers

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

The planes ABFE and EFGH intersected by line EF.

What is Prism?

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

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Answer:

Image below!

Step-by-step explanation:

Plotting [tex]\underline{y=2x+3}[/tex]

Step 1: determine the y-intercept

[tex](0,3)[/tex]

plot the point as the first point on the graph

Step 2: Move 2 units up, and 1 unit left (keep repeating this process until you have reached the limit of the graph)

Step 3: Go to the other side of the graph of the first point (y-intercept)

move 2 units down, and 1 unit right keep repeating this process until you have reached the limit of the graph)

When you've completed this process, it should look like this:

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Answer:

B) Symmetric property of congruence

Step-by-step explanation:

The angles 1 and 2 are marked as congruent

If a ≅ b, then b ≅ a, this is called the symmetric property of congruence:

The symmetric property states that if one figure is congruent to another, then the second figure is also congruent to the first.

Correct choice is B

Answer:

Symmetric property of similarity

Step-by-step explanation:

If a=a then that's reflexive propertyIf a=b and b=c then a=c, transitive property

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Answers

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Sally gets $8.00 each week for allowance. She wants to purchase a used bicycle that costs $24.00. She also wants to donate $8.00 to the food kitchen. Label your drawings with bike.

1. How much money will she have to save for both?

2. How many weeks will it take her to save for both?

3.How many weeks will she have to save if she wants to buy a newer used bicycle
that costs $32.00 and still make her $8.00 donation?

Answers

Answer:

1: $32. 2: 4 weeks. 3: 5 weeks

Step-by-step explanation:

1: 8+24=32$

2: 32/8=4=4 weeks

3: 32+8=$40

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Answers

Answer:

11.2

Step-by-step explanation:

A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD

Answers

Answer:

$10.06

Step-by-step explanation:

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10 × 0.06 = 0.6

10 + 0.6 = 10.06

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Answer:

y=25x+1150

Step-by-step explanation:

1425-1275=150

150/6=25 so 25 dollars per month

1275-5(25)

1275-125=1150

y=25x+1150

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Answers

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Answer:

-3/7,0

Step-by-step explanation:

Recently, your parents read in the newspaper that American factory worker jobs have the lowest income ra
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B Companies are relocating factories to other parts of the world.
C Factories are always in poor areas.
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Answer:

A. A factory worker does not need a lot of education.

Step-by-step explanation:

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Answer:

[tex]\sqrt{242}[/tex]

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Step-by-step explanation:

Use the coordinates of the labeled point to find the point-slope equation of
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5
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-st
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Answers

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The equation of the line given in the task content in the point-slope form can be determined as follows;

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Answers

Answer:

9/4

Step-by-step explanation:

Answer:

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Step-by-step explanation:

9/x = 4

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation

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Answers

Answer:

first let's solve for x

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

This should be easy.

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Step-by-step explanation:

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Answers

Answer:

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Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]32\sqrt3[/tex]

Step-by-step explanation:

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Answers

Answer:

tang inamo ok please tell me

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If the base of the second triangle is 22, what is the height of the second triangle?
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D. 4.4 units

Answers

Let the height be x

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[tex]\\ \sf\longmapsto 12x=176[/tex]

[tex]\\ \sf\longmapsto x=14.7units[/tex]

Step-by-step explanation:

X :

8/12 = 22/x

x • 12 = 22 • 8

12x = 176

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