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Dmitry_Shevchenko [17]
3 years ago
10

Randy made 10 quarts of lemonade, and he divided the lemonade equally between 8 pitchers. How many cups of lemonade did Randy pu

t in each pitcher?
Mathematics
2 answers:
Gnoma [55]3 years ago
7 0

Answer:

5 cups

Step-by-step explanation:

Given: Randy made 10 quarts of lemonade, and he divided the lemonade equally between 8 pitchers

To find: The number of cups of lemonade did Randy put in each pitcher.

Solution: To find the number of cups of lemonade did Randy put in each pitcher, we need to first covert the quarts into cups.

We know that 1 \:\text{quart}=4\:\text{cups}

So, 10 quarts can be converted into cups as

4\times10=40 cups

Now, we have the given scenario as 10 quarts of lemonade, i.e. 40 cups of lemonade is divided equally between 8 pitchers.

Therefore, the number of cups of lemonade Randy put in each pitcher

=\frac{40}{8}

=5 cups

Hence, Randy put 5 cups in each pitcher.

anastassius [24]3 years ago
4 0
10 quarts equals 40 cups.
40 divided by 8 equals 5.
So Randy put 5 cups of lemonade in each pitcher.
Hope this helps!
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Step-by-step explanation:

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What is the width of a rectangle prism with the length of 13 feet volume of 11,232 ft.³ and height of 36
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To get the volume of a rectangular prism, you multiply the base times the height by the width, so to get the width you would divide 11,232 by 13 which is 864, then you divide that by 36 to get 24, so the width would be 24.
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What is the slope intercept form of -11x+2y=1?
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Answer:

y=  11/2 x+1/2

Step-by-step explanation:

Slope Intercept form: y = mx + b where m = slope of the line, b = y intercept and (x,y) are coordinate points on the line.

To put this in slope-intercept form, you need to solve the equation for y

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Lines k and n intersect on the y-axis
avanturin [10]

a) The equation of line k is:

y = -\frac{202}{167}x + \frac{598}{167}

b) The equation of line j is:

y = \frac{167}{202}x + \frac{1546}{202}

The equation of a line, in <u>slope-intercept formula</u>, is given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • Line k intersects line m with an angle of 109º, thus:

\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}

In which m_1 and m_2 are the slopes of <u>k and m.</u>

  • Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}

  • The tangent of 109 degrees is \tan{109^{\circ}} = -\frac{29}{10}
  • Thus, the slope of line m is found solving the following equation:

\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}

-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}

m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2

m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}

\frac{167m_2}{80} = \frac{-202}{80}

m_2 = -\frac{202}{167}

Thus:

y = -\frac{202}{167}x + b

It goes through point (-2,6), that is, when x = -2, y = 6, and this is used to find b.

y = -\frac{202}{167}x + b

6 = -\frac{202}{167}(-2) + b

b = 6 - \frac{404}{167}

b = \frac{6(167)-404}{167}

b = \frac{598}{167}

Thus. the equation of line k, in slope-intercept formula, is:

y = -\frac{202}{167}x + \frac{598}{167}

Item b:

  • Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

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m = \frac{167}{202}

Then

y = \frac{167}{202}x + b

Also goes through point (-2,6), thus:

6 = \frac{167}{202}(-2) + b

b = \frac{(2)167 + 202(6)}{202}

b = \frac{1546}{202}

The equation of line j is:

y = \frac{167}{202}x + \frac{1546}{202}

A similar problem is given at brainly.com/question/16302622

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