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pentagon [3]
3 years ago
8

A car can travel 24.8 miles for every 1 gallon of gasoline. Estimate the number of miles the car can travel on 9.5 gallons

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer:

235.6 miles

Step-by-step explanation:

24.8/1 = x/9.5

1x/1 = 235.6/1

x=235.6


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The amount of force one exerts on a wrench handle to loosen a bolt is inversely
Inessa [10]

Answer:

a)

F =  \frac{1152}{l}

b) l=19.2 units

Step-by-step explanation:

a)Let F represent the force and l represents the length of the wrench handle.

Then inverse variation relation is:

F\propto \:  \frac{1}{l}

When we introduce the variation constant, we get:

F =  \:  \frac{k}{l}

From the question when F=96, l=12

96=  \:  \frac{k}{12}

k = 1152

The equation is

F =  \:  \frac{1152}{l}

b) If a person can only exert 60 pounds of force on a wrench,then

60 =  \frac{1152}{l}

\implies \: l =  \frac{1152}{60}

l = 19.2

Hence the length of the wrench must be 19.2 units

4 0
3 years ago
Hiiiooo! Can someone please help❤️
ICE Princess25 [194]

Answer: it is either A or B im leaning more to B..im so sorry if im worng.

Step-by-step explanation:

Have a good day! :) ^-^ ❤️

5 0
3 years ago
What does (4+1)(x+2x) simplify to?
Digiron [165]

Answer:

15x

Step-by-step explanation:

5 (x+2x)

5 (3x)

15x

8 0
3 years ago
Read 2 more answers
The equation d=4-1/15t represents your distance from home, d, for each minute you walk, t. If you graphed this equation, determi
lara [203]

Answer: the slope is -1/15 and it means that the distance from home decreases 1/15 units per minute of walk, which indicates the your are going home.


Explanation:


The equation d = 4 - (1/5)t has these features:

  • it is a linear (first degree) equation/
  • d is the dependent variable, distance from home.
  • t is the independent variable, minutes of walk
  • 4 is the constant term and it is the value of d when t = 0, which means that it is the vertical axis intercept and represents the initial distance from home.
  • - ( 1/15) is the coefficient of the independent variable, it is the slope of the equation, and means the rate of change of the distance per minute of walk.
  • this slope, since it is negative, means that the distance decreases as times goes on. It means that each minute of walk the distance decreases 1/15 unit.
  • you can find when the distance is zero, by doing the variable d = 0:

         d = 0 = 4 - (1/15)t ⇒ t = 4×15 = 60 min.

The given equation, d = 4 - (1/5)t is a linear equation, whose y-intercept form is y = mx + b.

  • m is the slope, therefore it is - 1/15.
  • 4 is the y-intercept, therefore it is 4.

The domain of the function is the interval [0, 60], meaning that those are the minutes of the walk.

The range of the function is the interval [4, 0] meaning that the distance goes from 4 to 0 units.

You have plenty information to do the graph:

  • label the horizontal axis t in minutes
  • do marks at 0, 5, 10, 15, 20, 25, .... up to 60 on the horizontal axis
  • lable the vertical axis d
  • do marks at 4, 3, 2, 1, on the vertical axis
  • draw the points (0, 4) and (60,0)
  • draw a segment joining those two points.

You can see the graph in the image attached.

7 0
4 years ago
Lionel is buying ice chests to hold 144 bottles of lemonade for a picnic. Each ice chests holds 20 bottles. Lionel calculates th
xxMikexx [17]

Answer:

It is reasonable


Step-by-step explanation:

His explanation is reasonable because you can't fit 144 bottles into 7 ice chests that carry 140 bottles max so he went for the next best thing and got 8 ice chests so he can make sure he can fit all his bottles

7 0
3 years ago
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