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mrs_skeptik [129]
3 years ago
10

What is the slope of the line that passes through the points (1, 2) and (3, 12)?

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Answer:

Slope is 5

Step-by-step explanation:

(1, 2) and (3, 12)

m= (y2-y1)/(x2-x1)

m= (12-2)/(3-1)

m= 10/2

m= 5

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Directions: Number the distances from the shortest to the longest: 1 being the shortest distance and 5 being the longest. Justif
sleet_krkn [62]

Answer: Number the distances from the shortest to the longest:

1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km


Solution:

To compare, all the distances must be in the same unit, for example feet.


a. Dallas, Texas, to Houston, Texas, is 385 km

We must transform from km to feet:

385 km * (1,000 m / 1 km) * (100 cm / 1 m) * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(385*1,000*100*1*1)/(1*1*2.54*12) feet =

38,500,000/30.48 feet =

1,263,123.359 feet =

1,263,123 feet


b. Hoboken, New Jersey, to New York City is 659,831 cm

We must transform cm to feet:

659,831 cm * ( 1 in / 2.54 cm) * ( 1 feet / 12 in)=

(659,831*1*1)/(2.54*12) feet =

659,831/30.48 feet =

21,647.99868 feet =

21,648 feet


c. Orlando, Florida, to Tampa, Florida, is 446,160 feet


d. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

We must transform from inches to feet:

2,521,728 inches * ( 1 feet / 12 inches) =

(2,521,728*1) / 12 feet =

2,521,728/12 feet =

210,144 feet


e. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

We must transform from yards to feet:

161,920 yards * (3 feet / 1 yard) =

(161,920*3)/1 feet =

485,763 feet


Ordering the values in feet from the shortest to the longest:

21,648 feet < 210,144 feet < 446,160 feet < 485,763 feet < 1,263,123 feet


With the original units:

659,831 cm < 2,521,728 inches < 446,160 feet < 161,920 yards < 385 km


Then the order is:


1. Hoboken, New Jersey, to New York City is 659,831 cm

2. Cleveland, Ohio, to Akron, Ohio, is 2,521,728 inches

3. Orlando, Florida, to Tampa, Florida, is 446,160 feet

4. Chicago, Illinois, to Milwaukee, Wisconsin, is 161,920 yards

5. Dallas, Texas, to Houston, Texas, is 385 km

6 0
3 years ago
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
Talja [164]
To calculate the cost of 1 diesel divide the cost of 5 by 5 to get 1 or $1025/5=205
To get the cost of 17, multiply the cost of 1 which is 205x17=3,485 so 17 is $3,485
6 0
3 years ago
48w + 42x. Write you're answere as a product with a whole number greater than 1???
Natali [406]

Answer:

6(8w + 7x)

Step-by-step explanation:

Hello!

The greatest common factor between 48 and 42 is 6. We can factor out 6 from each term.

<h3>Factor</h3>
  • 48w + 42x
  • 6(8w) + 6(7x)
  • 6(8w + 7x)

The expression is 6(8w + 7x).

4 0
1 year ago
Read 2 more answers
The length of one strip of paper is 1 whole unit.Fold two strips of paper in half.Open the strips and place them ent end .How ma
Harman [31]

Answer:

The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.

Step-by-step explanation:

When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.

5 0
3 years ago
Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
choli [55]

Answer:

x = 32/7, or 4 4/7 meals

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

 7/8 lb           4 meals

------------        -------------

    1 lb                   x

x will be the number of meals necessary for the dog to eat 1 lb of food.

Cross-multiplying, (7/8)x = 4.

Multiplying both sides by 8/7 is an easy way to isolate x:

(8/7)(7/8)x = (8/7)(4)

or

              x = 32/7, or 4 4/7 meals

3 0
3 years ago
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