1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svlad2 [7]
3 years ago
11

Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

  (1/6) barrel

--------------------

  (2/5) hours

Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * -------------- = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

-------------------- = 0.416666 barrel/hour  =  5/12 barrel/hour

0.4 hours

You might be interested in
41% of the students at an art college want to be a graphic designer about what fraction of the students want to be a graphic des
IgorC [24]
I think the answer is 41 over 100
4 0
3 years ago
How many of these equations have the solution 2 = 12?
tino4ka555 [31]

Step-by-step explanation

i don't understand option B

3 0
3 years ago
What is the sum of the interior angles of the pentagon
musickatia [10]
<h3>The sum of the interior angles of a pentagon are always equal to 540 degrees.</h3><h3 />
8 0
3 years ago
Please Help Quicly The equation 8x - 4y = 5 is dilated by a scale factor of 8 centered at the origin. What is the new slope and
Rzqust [24]

For new line, slope m=2 and y-intercept c=(-10)

Step-by-step explanation:

<em>Note : Figure given is for reference to understand better.</em>

<em>Where redline is for given line and blueline for new line</em>

<em />

The equation of given line 8x-4y=5 and it is dilated by a scale factor of 8 centered at the origin.

Step 1 : Find two points on given line.

When x=0, y=?

8x-4y=5

8(0)-4y=5

y=\frac{-5}{4}

When y=0, x=?

8x-4y=5

8x-4(0)=5

x=\frac{5}{8}

We get points A(0,\frac{-5}{4}), B(\frac{5}{8},0)

Step 2: Find distance from centered and scale it.

Now, It is said that line 8x-4y=5 dilated by a scale factor of 8 centered at the origin and point A and point B is on same.

So that point A and point B  will also get dilated by a scale factor of 8 centered at the origin or distance of points from origin will be scaled by 8.

For point A:

Distance of point A(0,\frac{-5}{4}) from origin is ( \frac{-5}{4})  unit in x-direction and zero \frac{-5}{4})  unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is A'(0,-10)

For point B:

Distance of point B(\frac{5}{8},0) from origin is (\frac{5}{8}) unit in x-direction and zero unit in y-direction.

After scaled by factor of 8, the distance will multipy by 8 and new location is B'(5,0)

Step 3: Find Equation of new line.

Points A'(0,-10) and B'(5,0) make a new line

The equation of given as

\frac{y-Y1}{x-X1} = \frac{Y2-Y1}{X2-X1}

\frac{y-(-10)}{x-0} = \frac{0-(-10)}{5-0}

\frac{y+(10)}{x} = 2

\frac{y+(10)}{x} = 2

y+10= 2x

y= 2x-10

Now, Comparing with the equation of the line : y=mx + c

Where m=slope and c is the y-intercept

We get, Slope m=2 and y-intercept c=(-10)

8 0
3 years ago
AWARDING EXTRA POINTSWhat is the distance between point A (-3, -2) and Point B (4, -7)?
kenny6666 [7]

Answer:

Hi there!

Your answer is:

<em>8</em><em>.</em><em>6</em><em> </em><em>units</em>

Step-by-step explanation:

The distance formula is

√ ( (x2-x1)^2 + (y2-y1)^2 )

In your points:

A (-3, -2)

-3 is x1

-2 is y1

B (4, -7)

4 is x2

-7 is y2

Plug in to distance formula

√ ( 4-( -3))^2 + ( -7 - (-2))^2

√ (4+3)^2 + (-7+2)^2

√ (7^2) + ( -5)^2

√ 49 + 25

√ 74

This equals roughly 8.6 units!

4 0
3 years ago
Other questions:
  • Find x so the distance between the points (x,2) and (-1,-2) is <img src="https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D" id="TexFormula
    13·1 answer
  • Regular pentagonal prism has 9 cm base edges. A larger similar prism of the same material has 36 cm base edges. How does the vol
    6·1 answer
  • My little sis needs help it's 10 points.
    9·2 answers
  • In a certain city, the hourly wage of workers on temporary employment contracts is normally distributed. The mean is $15 and the
    11·1 answer
  • Solve equations for x/7-1=8
    14·1 answer
  • 1000 centimeters=_______meters?
    15·1 answer
  • Help me please! I realy need help
    13·2 answers
  • Can some one help thanks
    15·2 answers
  • althea started eating her dinner at 6:35pm and finshed eating at 7:03 pm.eastemated elapsed time actual elapsed time​
    15·1 answer
  • The length of a rectangle is 5 times the width. The area is 80 square yards. Find the length and width of the rectangle.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!