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pogonyaev
3 years ago
12

Three fourths of a gasoline storage tank is emptied by filling each of five trucks with the same amount of fuel what part of the

total capacity of the storage tank did each vehicle receive
Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

Each vehicle received \frac{3}{20} of the total capacity of the storage tank

Step-by-step explanation:

we know that

To find out what part of the total capacity of the storage tank that each vehicle received, divide three fourths by five

so

\frac{(3/4)}{5}=\frac{3}{20}

therefore

Each vehicle received \frac{3}{20} of the total capacity of the storage tank

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1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the
Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1).  First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4.  Using point-slope form,

y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2.  To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2.  Using point-slope form,

y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}

#4) The slope of Main Street on the diagram, found by using rise/run, is 2.  This means the bike path will also have a slope of 2 in order to be parallel.  The park entrance is at (0, 4).  This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel.  They are never perpendicular.

3 0
3 years ago
Read 2 more answers
Brainliest + Points!
LenaWriter [7]
Hey refer to attachment!!!

Draw straight line from 220 (in thousands ) to the plotted line. Draw line parallel to x-axis from point where it touches the plotted line to the y -axis.

It'll automatically meet at 500 which is the answer..

All you need to do is to see the graph carefully.

Hope it helps *_*

3 0
3 years ago
Two common names for streets are FirstFirst Street and MainMain ​Street, with 14 comma 86614,866 streets bearing one of these
oksian1 [2.3K]

Answer:  There are 7,677 streets named as " First Street" and 7, 189 streets named as  "Main Street" .

Step-by-step explanation:

Let x be the number of streets named as First Street .

y be the number of streets named as Main Street.

AS per the given information, we have the following system of equations :

x+y=14866-------------(1)\\\\x=488+y-------------(2)

Substitute the value of x from (2) in (1) , we get

488+y+y=14866\\\\ 2y =14866- 488\\\\ 2y=14378\\\\ y=7189

Put value of y in (2), we get

x=488+7189=7677

Hence , there are 7,677 streets named as " First Street" and 7, 189 streets named as  "Main Street" .

6 0
3 years ago
Is it true or false lollll
Reika [66]

Answer:

I think true im sorry if its not

4 0
2 years ago
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Does the number -2.675 belong to the set of integers
tankabanditka [31]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
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