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otez555 [7]
10 months ago
15

Lee is traveling by train to visit his grandmother. After 1 hour, he has 270 miles left to travel. After 2 hours, he has 180 mil

es remaining. The train travels at a constant rate for the entire trip. What is the speed of the train and the distance of the trip? Move numbers to the blanks to complete the sentences. The train is traveling at a speed of ____miles per hourThe distance of the train trip is ___ miles. 90 90 180 270 360 450
Mathematics
1 answer:
Nat2105 [25]10 months ago
6 0

Answer:

• 90 miles per hour.

,

• 360 miles

Explanation:

After 1 hour, he has 270 miles left to travel.

After 2 hours, he has 180 miles remaining.

To determine the speed of the train, we find the rate of change.

\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{270-180}{1-2} \\ =\frac{90}{-1} \\ =-90\text{ miles per hour} \end{gathered}

The speed of the train is 90 miles per hour.

If the train travels 90 miles per hour, and after 1 hour, he has 270 miles to travel:

The distance of the train is:

\begin{gathered} =270+90 \\ =360\text{ miles} \end{gathered}

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A box contains four blue and eight red balls. Jim and Jack start drawing balls from the box, respectively, one at a time, at ran
aleksandrvk [35]

Answer:

the probability that Jack draws the blue ball is 0.38539

Step-by-step explanation:

Given the data in the question;

box contains

blue balls = 5

red balls = 8

Jim and Jack start drawing balls from the box, respectively, one at a time, at random, and without replacement

Now,

on the first attempted;

⇒ ( 8/13) × ( 5/12) = 10/39  

on the second attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) = 14/143

on the third attempt;

⇒ ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 5/8 ) = 35/1287

on the fourth attempt;

⇒  ( 8/13 ) ( 7/12) ( 6/11 ) ( 5/10 ) ( 4/9 ) ( 3/8 ) ( 2/7 ) ( 5/6 ) = 5/1287

so we add everything;  

⇒ 10/39 + 14/143 + 35/1287 + 5/1287

= 0.38539

Therefore, the probability that Jack draws the blue ball is 0.38539

5 0
3 years ago
Determine which ordered pair is a solution of y = –5x + 10. a. (–15, 5)
maria [59]
Y = - 5 x + 10
A ) x = - 15, y = 5
5 = 75 + 10
5 ≠ 85
B ) x = 2, y = 0
0 = - 5 · 2 + 10
0 = 0  ( correct )
C ) x = - 1,  y = - 5,
- 5 = 5 + 10
- 5 ≠ 15
D ) x = 3, y = 25
25 = - 15 + 10
25 ≠ - 5
Answer:
B ) ( 2, 0 )
7 0
3 years ago
Read 2 more answers
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

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  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Which system of equations can be graphed to find the solution(s) to -3X=7
insens350 [35]

Answer:

X=-7/3

Step-by-step explanation:

hope this helps

8 0
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A small plane circles the airport at Daniel Field at 1500 feet altitude before starting to land. If the airport runway is 10,000
klio [65]
Small plane circles the airport the angle of depression would be 180
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2 years ago
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