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lukranit [14]
3 years ago
8

Malcom uses a marker to draw a straight line on a piece of paper. The line is 23 ft long. He wants to divide the line into secti

ons that are each 19 ft long. How many sections will the line be divided into? Enter your answer in the box.
Mathematics
1 answer:
allsm [11]3 years ago
5 0

He can divide the line into 1.21 sections. To determine this you need to take the length of the line and divide it by the length of the segments you want to make, in this case it equals to 1.21.

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Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they
LenaWriter [7]
Let x and y represent the hourly rates of the first and second mechanics, respectively.
.. x + y = 205 . . . . . . . the sum of the two rates was $205 per hour
.. 5x +15y = 1925 . . . . they charged a total of $1925

Divide the second equation by 5, then subtract the first equation.
.. x +3y = 385
.. (x +3y) -(x +y) = (385) -(205)
.. 2y = 180
.. y = 90
.. x = 205 -y = 115

The first mechanic charged $115 per hour; the second charged $90 per hour.
3 0
4 years ago
Determine the equation of the line that passes through the points:
marin [14]

Answer:

y = -2x+8

Step-by-step explanation:

First find the slope

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

    = ( -4-4)/(6-2)

    = -8/4

   = -2

The slope is -2

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2x +b

Using the point ( 2,4)

4 = -2(2) +b

4 = -4+b

Add 4 to each side

4+4 = -4+4+b

8 = b

y = -2x+8

3 0
4 years ago
on his way to visit his sister at college,gregg drives 135 miles in 3 hours.what is his average rate or speed in miles per hour
elena55 [62]

Answer:

45 m/p

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
The gas tank of a car is filled with a nozzle that discharges gasoline at a constant flow rate. Based on unit considerations of
Cloud [144]

Answer:

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

Step-by-step explanation:

The filling time of a gas tank can be given by a first order function in this format:

F(t) = V - r*t

In which F(t) is the current amount of fuel in the tank(in L), V is the volume of the tank(in L), r is the discharge rate of the tank(in L/s) and t is the time in seconds.

Finding the values of the parameters:

The tank is completly empty, so F(t) = 0.

The volume of the tank is 14 gallons. However, the problem states that the volume of the tank is measured in liters.

Each gallon has 3.78L.

So V = 14*3.78 = 53L

The discharge rate for the gas is 38.0 l/min. However, the problem states that the discharge rate is in L/s. So, to find the value of r, we solve the following rule of three.

38 L - 60s

r L - 1s

60r = 38

r = \frac{38}{60}

r = 0.63

Solving the equation:

F(t) = V - r*t

0 = 53 - 0.63t

0.63t = 53

t = \frac{53}{0.63}

t = 84.12s

It is going 84.12s = 1 minute and 24.12 seconds to fill the tank.

6 0
3 years ago
PLEASEEE HELPPP MEEE!!!​
Rasek [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
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