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3 years ago

Do the lines y=5x+2 and y=5x+4 intersect? if so, at what point? Thanks for your help!!

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

They do not intersect, they are parallel lines.

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A congruent line segmeny

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Sebastian is going to choose the color pattern

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Step-by-step explanation:

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3 years ago

2x+3y=1, -x+2y=-4 solve using substitution method

ollegr [7]

Step-by-step explanation:

1) 2x+3y-3y=1-3y. -x+2y= -4

2x/2=1-3y/2. -(1-3y/2)=-4

x=1-3y/2. -1+3y/2= -4

x=1-3(-2)/2 3y/2= -4+1

x=1+6/2 3y/2×2/3= -3×2/3

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2). -4x-6y+6y=7-6y. 4x+y= -2

-4x/-4=7-6y/-4. 4(-7-6y/4)+y= -2

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x= -7-6/4 -5y/5= 5/5

x=-13/4 y= 1

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8 0

3 years ago

working together, 9 friends picked 23 2/5 bags of apple at an orchard. they divide the bags of apple equally between them. how m

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9 friends
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23 2/5 = 23.4
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3 years ago

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Victoria's spends 5/9 of her money on a flan and two chicken pies each chicken pie cost 1/6 as much as the fly Victoria has $24

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Answer:

Amount spent by Victoria = $30.

Cost of 1 flan = $22.50

Step-by-step explanation:

Let x be total amount of money that Victoria had before purchasing the flan and chicken pies.

We have been given that Victoria's spends 5/9 of her money on a flan and two chicken pies and Victoria has $24 left. This means that 4/9 of total money is 24.

We can represent this information as:

$\frac{4}{9}x=24$

Let us solve for x.

$x=24*\frac{9}{4}$

$x=6*9=54$

Let us find 5/9 of 54 to figure out the amount spent by Victoria.

$\text{Amount spent by Victoria}=\frac{5}{9}*54$

$\text{Amount spent by Victoria}=5*6=30$

Therefore, Victoria spent an amount of $30.

Let C be cost of one chicken pie and F be cost of one flan.

We have been given that each chicken pie cost 1/6 as much as the flan. We can represent this information in an equation as:

$C=\frac{1}{6}F...(1)$

We are also told that Victoria's spends 5/9 of her money on a flan and two chicken pies.

We can represent this information as:

$2C+F=30...(2)$

Upon substituting C's value in equation (2) we will get,

$2*(\frac{1}{6}F)+F=30$

$(\frac{1}{3})F+F=30$

Now let us have a common denominator.

$(\frac{1}{3})F+\frac{3F}{3}=30$

$(\frac{1+3}{3})F=30$

$(\frac{4}{3})F=30$

$F=30*\frac{3}{4}$

$F=30*0.75$

$F=22.50$

Therefore, the cost of one flan is $22.50.

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3 years ago

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