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Finger [1]
3 years ago
15

Linear system word problem

Mathematics
1 answer:
jeka57 [31]3 years ago
3 0
Drinks, x, and popcorn, y.
38.75 = 5x+2y
37.25 = 3x + 4y
Let's solve this using the elimination method
subtract the 2nd row from the first
<span>7x=40.2<span>5
divide both sides by 7 to isolate x
</span></span><span>x=5.7<span>5

Substitute x into an equation
</span></span><span><span>10(5.75)+4y=77.5
multiply
</span></span>57.5+4y=77.<span>5
subtract 57.5 from both sides
</span>4y=77.5−57.<span>5
Simplify
</span>4y=2<span>0
divide both sides by 4 to isolate y
y = 5

To check you would plug x and y into the equations and see if it equals properly...

The price of drinks is $5.75, the price of popcorn is $5.

Hope this helps 
</span>
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Line k passes through points (-3,-6) and (-1,12) what is the slope of the line perpendicular to line c
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Do you mean "perpendicular to k"?  We have no line c there so I'm going with line k.  First we need the slope of line k.  Fitting those values into the slope formula we have m= \frac{12-(-6)}{-1-(-3)} = \frac{18}{2} =9.  So the slope of k is 9.  The slope of a line perpendicular to k has the opposite sign and the fraction is flipped.  The perpendicular slope then is -1/9.
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3 years ago
Help me pls need help
alexira [117]

Answer:

9s+11

Step-by-step explanation:

Combine like terms → (7s+2s and 2+9 = 9s and 11) and boom

7 0
3 years ago
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If you flip three fair coins, what is the probability that the first two flips will both be heads, and the third flip will be ei
Sveta_85 [38]
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Find the measure of Angle ACD.*<br> 20 points<br> A<br> 50<br> 4x + 2°<br> 6x + 12°<br> D C
jonny [76]

Answer:

hi ther ...

Step-by-step explanation:

6 0
3 years ago
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HJ= 5x -3, JK= 8x -9 and KH= 131
Fynjy0 [20]

Answer:

HJ = 52

JK = 79

Step-by-step explanation:

Hello, I want to assume you are trying to determine either HJ or JK. Below is an illustration of how to determine either HJ or JK.

From the question given above, the following data were obtained:

HJ = 5x – 3

JK = 8x – 9

KH = 131

If we draw a straight line, we'll observe the following:

H_______J_______K

KH = HJ + JK

Next, we shall determine the value of x.

HJ = 5x – 3

JK = 8x – 9

KH = 131

KH = HJ + JK

131 = (5x – 3) + (8x – 9)

131 = 5x – 3 + 8x – 9

Collect like terms

131 + 3 + 9 = 5x + 8x

143 = 13x

Divide both side by 13

x = 143 / 13

x = 11

Finally, we shall determine HJ and JK. This can be obtained as follow:

For HJ:

HJ = 5x – 3

x = 11

HJ = 5(11) – 3

HJ = 55 – 3

HJ = 52

For JK:

JK = 8x – 9

x = 11

JK = 8x – 9

JK = 8(11) – 9

JK = 88 – 9

JK = 79

6 0
3 years ago
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