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Marat540 [252]
3 years ago
10

A freight train departs from one train station to its destination at a constant speed. Suppose the distance the train is from th

e station in miles is represented as a function of the number of hours after the train departed from the train station. If the graph of the function passes through the points (0.5, 135) and (2,81), what is the distance between the train station and the freight train's destination? (1 point) A. 189 miles B. 171 miles C. 153 miles D. 162 miles​
Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

108 miles

Step-by-step explanation:

Given the points (0.5, 135) and (2,81)

Diatnce between two points :

D = √(x2 - x1)² + (y2 - y1)²

X1 = 0.5 ; y1 = 135 ; x2 = 2 ; y2 = 81

D = √(2^2 - 0.5^2) + (81^2 - 135^2)

D = √(4 - 0.25) + (6561 - 18225)

D = √3.75 −11664

D = 107.98263

D = 108 miles

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Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a
FrozenT [24]

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

x + y = 160

The total earnings is: $1850, so we have:

5x + 15y = 1850

Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

5x + 15y = 1850 --- (2)

Divide (2) through by 5

x + 3y = 370 --- (3)

Subtract (1) from (3)

x - x + 3y - y = 370 - 160

2y = 210

Divide through by 2

y = \frac{210}{2}

y = 105

Substitute 105 for y in (1)

x + y = 160

Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

7 0
3 years ago
If 5/2 kg of carrots cost $3,how much will 3/2 kg cost?​
VashaNatasha [74]

Answer:

first you find out how much will 1/2 kg of carrot cost, that way you can multiply it by 3 to get what 3/2 cost.

So, 3÷ 5 = 0.6 per 1/2 kg. Then 0.6 × 3 = 1.8 dollars for 3/2 kg

7 0
3 years ago
Joan’s uncle has promised her $20,000 when she graduates college 4 years from now. What is the equivalent amount stated in today
MaRussiya [10]

Answer:

2:10

Step-by-step explanation:

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8 0
3 years ago
What is 0.4% of 1000?
alexandr1967 [171]
0.4% = 0.04 
0.04 * 1000 = 4
the answer is 4 hope I helped you out!
7 0
3 years ago
Which of the following expressions are equivalent to -0.5(1.7+1.7)−0.5(1.7+1.7)minus, 0, point, 5, left parenthesis, 1, point, 7
Allisa [31]

The expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)

and 2(-0.5(1.7))

<h3>Distributive law of expansion</h3>

Given the expression below;

-0.5 (1.7 + 1.7)

According to the distributive law;

A(B+C) = AB + AC

Expand

-0.5(1.7) + (-0.5)(1.7)

-0.5(1.7) - 0.5(1.7)

2(-0.5(1.7))

Hence the expressions equivalent to -0.5(1.7+1.7) are -0.5(1.7) - 0.5(1.7)

and 2(-0.5(1.7))

Learn more on distributive law here: brainly.com/question/25224410

#SPJ1

7 0
2 years ago
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