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Sergeeva-Olga [200]
3 years ago
5

The fastest train in the Western Hemisphere is the Acela Express. On a route between Boston, Massachusetts, and New Haven, Conne

cticut, the train regularly travels 135 miles in 60 minutes.
What is the speed, in miles per minute, on this portion of the route?
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0
What answer is 75 is the correct answer
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If 4x+y= x solve for x.
erik [133]

4x+y= x

Move all x term to left side

4x-x+y=0

Subtract 4x from 3x

3x+y=0

Move y term to right side

3x= -y

Divide both sides by 3

X= -y/3



Ok so if it's


4x+y= z solve for x


Move y to right side


4x= -y +z


Now divide both by 4 to get x alone


X= -y/4 + z/4

6 0
3 years ago
You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of beverage to provide enough for the
olga nikolaevna [1]

Answer:

You have 112 cups of beverage

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- You need to supply at least 120 cups of beverage to provide enough

 for the projected number of people that will attend

- <em><u>Assume that a cup can fill by 8 fl. oz. (American standard)</u></em>

- <em>You have received the following donations</em>

- Enough mix to make 4 gallons of lemonade

∴ You have 4 gallons of lemonade

∵ 1 gallon = 128 oz.

∴ 8 gallons = 4 × 128 = 512 oz.

∴ You have 512 oz. of lemonade

∵ You can fill one cup by 8 oz.

∴ The number of cups of lemonade = 512 ÷ 8 = 64 cups

- 6 bottles of fruit juice that each contain 64 fl. oz

∵ 6 × 64 = 384

∴ You have 384 oz. of fruit juice

∵ You can fill one cup by 8 oz.

∴ The number of cups of fruit juice = 384 ÷ 8 = 48 cups

- <em>Now add the number of lemonade cups to the number of fruit</em>

<em>  juice cups</em>

∵ There are 64 of lemonade cups

∵ There are 48 fruit juice cups

∴ The total number of cups = 64 + 48 = 112 cups

* You have 112 cups of beverage

6 0
3 years ago
Is a line is represented by a straight narrow segment with arrow signs at the end? ...?
Luda [366]
Yes, as a line is a continuous object; it's infinite. A line segment is what you would use in a number line, per se.
8 0
3 years ago
Which statement is true about the equation 3.5z = 2.25z − 4.25 + 6.25?
Yuliya22 [10]
Since the solution will be of the form z=k it has one solution...

3.5z=2.25z-4.25+6.25

3.5z=2.25z+2

1.25z=2

z=1.6

A single solution...


5 0
3 years ago
Read 2 more answers
(0,5) (3,4) into y=mx+b
Veseljchak [2.6K]

Answer:

y = -1/3x + 5

Step-by-step explanation:

Find slope.

m = y₂ - y₁ / x₂ - x₁

Two points given.

(0,5) (3,4)

m = 4 - 5 / 3 - 0

m = -1 / 3

y = -1/3x + b

Substitute x and y by an point. Let's take (0,5)

0 - x

5 - y

5 = -1/3(0) + b

5 = 0 + b

5 - 0 = b

5 = b

So,

y = -1/3x + 5

6 0
4 years ago
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