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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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Please help me answer this.
Mariulka [41]

Answer:

(a) 3

Step-by-step explanation:

Calculate the slope m of the line given using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)

m = \frac{2-3}{3-0} = - \frac{1}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{3} } = 3 → (a)


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3 years ago
Please help i don't understand
alexira [117]

Answer:

A

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. Hence, the two shorter sides created on diagonal RT ("6x-7" and "x+28" ) are equal.

<em>We can set them equal and solve for x:</em>

<em>6x-7=x+28\\6x-x=28+7\\5x=35\\x=\frac{35}{5}\\x=7</em>

<em />

<em>So the side length of 6x -7 is:</em>

<em>6(7)-7 = 35</em>

<em>and the side length of x + 28 is:</em>

<em>7 + 28 = 35</em>

<em />

<em>THus, the diagonal RT = 35 + 35 = 70 units</em>

<em />

<em>Answer choice A is right.</em>

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3 years ago
Please answer the geometry question
In-s [12.5K]

Answer:

300 feet

Step-by-step explanation:

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3 years ago
Similar triangles have congruent corresponding angles. True or false
MrRa [10]

The Answer for your question is True......

4 0
3 years ago
Bring the fraction a/a−4 to a denominator of 16−a^2<br><br> really do appreciate this thx
RSB [31]

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

            a/(a - 4)                  Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)]     Multiply the denominatorator terms

= a(a + 4)/(a² - 16)               Multiply by -1/(-1)

= -a(a+4)/(-a² + 16)              Reorder terms in denominator

= -a(a+4)/(16 - a²)

5 0
3 years ago
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