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horsena [70]
3 years ago
7

Carlos is driving on a straight section of highway from Ashford to Lincoln. Ashford is at mile marker 333 and Lincoln is at mile

marker 453. A rest stop is located along the highway 2/3 of the distance from Ashford to Lincoln. Assuming Carlos drives at a constant rate of 60 miles per hour, how long will it take him to drive from Ashford to the rest stop? Round your answer to the nearest hundredth.
It will take _______hours to drive from Ashford to the rest stop?
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Distance between the two cities:

453 - 333 = 120 miles.

Rest area is 2/3 of the way:

120 x 2/3 = 240/3 = 80 miles.

Divide the miles to the rest stop by his speed:

80 miles/ 60 miles per hour = 1 and 1/3 hours as a fraction. 1.3333 as a decimal( round as needed.

( 1 hour and 20 minutes)

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Complete the page for 15 points.
sergey [27]

Answer:

1. 15, 16, 17

2. 21, 23, 25

3. 44, 46, 48

4. -4, -3, -2

Step-by-step explanation:

1)

Step 1. Writing an equation

Let's set x as the second number in the equation.

This means that the first number is x-1, and the third number is x+1.

We know that the sum of the three numbers is 48, so:

(x-1)+x+(x+1)=48

Step 2. Solving the equation

x-1+x+x+1=48

x+x+x-1+1=48

3x=48

x=16

<em>So the answer is 15, 16, 17</em>

2)

Again, let's set x as the middle number.

Odd numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that the equation must be:

(x-2)+x+(x+2)=69

x+x+x=69

3x=69

x=23

<em>The numbers are 21, 23, and 25</em>

3)

x will be the middle number

Even numbers are 2 numbers apart, so the first number is x-2, and the third is x+2.

This means that:

x-2+x+x+2=138

x+x+x=138

3x=138

x=46

<em>The numbers are 44, 46, and 48.</em>

4)

x will be the middle number.

x-1=first number, x+1=third number

x-1+x+x+1=-9

3x=-9

x=-3

<em>The numbers are -4, -3, and -2.</em>

3 0
3 years ago
J 4 + 14 = 18 j = what
aliya0001 [1]

Answer:

j = 1

Step-by-step explanation:

4j + 14 = 18j

subtract 4j from both sides

14 = 14j

divide 14 from both side

j = 1

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dolphi86 [110]
Answer: Coordinates for S (4,-13)
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2 years ago
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schepotkina [342]
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For this example, from the graph you see the center is at (0,-3) and radius is 2.
h  = 0, k = -3, r = 2

Sub into general equation:
(x-0)^2 + (y-(-3))^2 = 2^2 \\  \\ x^2 +(y+3)^2 = 4
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