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11Alexandr11 [23.1K]
3 years ago
5

Which of the following is a y-coordinate from the solution set of the system of equations y = -x + 1 and

Mathematics
1 answer:
evablogger [386]3 years ago
6 0
The answer is B)2 :)
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The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0
Naddik [55]
Answer: 460.6 miles South of Chicago

Explanation:

1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:


 →to south                                                    ←to north
                |----------------------|---------------------|
               A          x             X      930.0 - x    B
            6:00 am                                          6:00 am
           →                                                      ←
           v = 79.0 mi/h                                     v = 81.1 mi/h


=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x         81.1*t
------------- =   ----------
      x                 79*t

t cancels out =>

930.0 - x         81.1
------------- =   --------
     x                 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.
</span>
7 0
3 years ago
The regular price of a TV is $475. It's currently on sale for 30% off. What is
Hitman42 [59]

Answer:

You will pay $332.50 for a item with original price of $475 when discounted 30%

meaning the discount is $142.50

Step-by-step explanation:

if you buy an item at $475 with 30% discount, you will pay 475 - 142.5 = 332.5 dollars.

please give brainliest and thanks if possible

7 0
2 years ago
The volume
Sedaia [141]
\bf \begin{array}{cccccclllll}&#10;\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\&#10;\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\&#10;y&=&{{ k}}&\cdot&x&#10;&&  y={{ k }}x&#10;\end{array}\\ \quad \\&#10;

and also

\bf \begin{array}{llllll}&#10;\textit{something}&&\textit{varies inversely to}&\textit{something else}\\ \quad \\&#10;\textit{something}&=&\cfrac{{{\textit{some value}}}}{}&\cfrac{}{\textit{something else}}\\ \quad \\&#10;y&=&\cfrac{{{\textit{k}}}}{}&\cfrac{}{x}&#10;&&y=\cfrac{{{  k}}}{x}&#10;\end{array}&#10;

now, we know that V varies directly to T and inversely to P simultaneously
thus\bf V=T\cdot \cfrac{k}{P}

so     \bf V=T\cdot \cfrac{k}{P}\qquad &#10;\begin{cases}&#10;V=42\\&#10;T=84\\&#10;P=8&#10;\end{cases}\implies 42=\cfrac{84k}{8}\implies 4=k&#10;\\\\\\&#10;V=\cfrac{4T}{P}\qquad now\quad &#10;\begin{cases}&#10;V=74\\&#10;P=10&#10;\end{cases}\implies 74=\cfrac{4T}{10}\implies 185=T
7 0
3 years ago
Can someone help me thx
VikaD [51]
Answer: 118



Explanation:

Since ∠A=∠ADB: ∠ADB=61°. The sum of the interior angles of any triangle is 180°, thus:

61°+61°= 122
180-122=58°
∠DBA=58°

Since triangle BCD is an equilateral triangle, all the interior angles are the same:

180/3=60
∠DBC=60°
∠BCD=60°
∠CDB=60°

Since angles DBC and DBA make up angle ABC, just simply add the two angles together:

58+60=118°

Therefore, ∠ABC is 118°.
7 0
3 years ago
Is 1 1/4 closer to 1 or 2?​
stira [4]

Answer:

It is closer to 1.

Step-by-step explanation:

Think about this:

1 1/4 is 1/4 closer to one.

1 1/4 is 3/4 closer to two.

3 0
2 years ago
Read 2 more answers
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