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2 years ago

5

Mr. Con makes punch by mixing 10.6 L of apple juice 0.6 L of oranges and 8 L of Ginger ale. He pours the mixture equally into 6

large punch bowls. How much punch in each bowl

1 answer:

sattari [20]2 years ago

3 0

Answer:

3.2

Step-by-step explanation:

For this we need to get the entire volume of the mixture. We get it by summing each quantities:

Vol = 10.6 + 0.6 + 8 = 19.2 L

So, we have 19.2 L for 6 bowls.

For getting the punch of each bowl we just need to divide this volume between the 6 bowls:

19.2 / 6 = 3.2 L

So, each bowl has 3.2 L

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Answer:

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Step-by-step explanation:

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Which fraction is larger: 1/4 or 2/4

melisa1 [442]

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2 years ago

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James notes the angle of elevation of the top of tower to be 30 degree if James is 100meter away horizontally from the base of t

noname [10]

Answer:

h = 57.73 m

Step-by-step explanation:

We have,

The angle of elevation of the top of tower to be 30 degree

James is 100 m away horizontally from the base of the tower.

It is required to find the height of the tower.

Here, angle is 30 degree

Base, b = 100 m

Let h is the height of the tower. The relation between base and height is given by :

$\tan\theta=\dfrac{h}{b}\\\\h=b\times \tan\theta\\\\h=100\times \tan(30)\\\\h=57.73\ m$

So, the height of the tower is 57.73 m.

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3 years ago

How do I solve it because it’s really difficult

dybincka [34]

The solution of the equation is x= 3 and y = 2

Step-by-step explanation:

Given,

-3x-4y = -17 and

-x-3y = -9

The system of equation can be rewritten as

3x+4y = 17 ------eq 1 and

x+3y = 9 ------ eq 2

To solve for x and y

Multiplying eq 2 by 3 we get,

3x + 9y = 27

or, 3x = 27-9y

Putting this value of x into eq 1 we get,

27-9y +4y = 17

or, -5y = 17-27

or, -5y = -10

or, y = 2

Now put y=2 in eq 2 we get,

x = 9 - 3(2)

= 3

Hence the solution is x = 3 and y = 2

6 0

2 years ago

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:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

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

7 0

2 years ago