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3 years ago

Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

4 0

Answer:

A) $(x,2-\frac{2}{3}x)$

B) $( 3-\frac{3}{2}y .y)$

Step-by-step explanation:

As can be seen in the graph, the set of solution numbers is the real numbers R for both x and y, but since it is requested that they be ordered pairs, we find the conditions for which it must be met

Also: we can work according to x

$2x+3y=6\\3y=6-2x\\y=2-\frac{2}{3}x$

ordered pair

$(x,2-\frac{2}{3}x)$

according to y

$2x+3y=6\\2x=6-3y\\x=3-\frac{3}{2}y$

oedered pair

$( 3-\frac{3}{2}y .y)$

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Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they

kakasveta [241]

Answer:

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Step-by-step explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

Number of people = 3

Money Spend on popcorn and soft drink = $22.50

Hence we can say that;

$3x+3y=22.50 \ \ \ \ equation \ 1$

Next week three people traveled again.

Each ticket was bought = $8.00

Number of tickets bought = 3

Money spend on tickets = $8\times3 = \$24$

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

Cost of popcorn = y

Now Total return trip is equal to sum of Money spend on tickets and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

$24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2$

Now Subtracting equation 2 from equation 1 we get;

$(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50$

Now substituting the value of y in equation 1 we get;

$3x+3y=22.50\\\\3x+3\times4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=\frac{9}{3}=\$3.00$

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

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3 years ago

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 864 square feet. The width of the basem

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29.3938769134 ft

Take the radical of 864 to get an answer based on the limited info provided.

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3 years ago

Rearrange your equation to isolate a:(a+b/c)(d-e)=f

sukhopar [10]

To rearrange the equation given, we need to take note the rules in adding, subtracting, multiplying and dividing terms. We rearrange the equation as follows:

<span>((a+b/c)(d-e)=f) 1/(d-e)

</span>(a+b/c = f/(d-e))c

a+b = fc/(d-e)

a = [fc/(d-e)] - b

Hope this answers the question.

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3 years ago

Explain how to use the number line to count on to find 7 - 4

galben [10]

Answer:

explanation

Step-by-step explanation:

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hope this helps:)

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3 years ago

Hi there!!

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Well, it depends on what the weight of the test is. Most courses tell you that a test is worth a certain percentage of your grade(i.e. Final Exam is worth 20% of your entire grade). It also depends on what your grades for other assignments were, and how many there were. Try asking your teacher.

The average of your previous grade and the grade you got on your test is 84.5%. Average is the mean, which is calculated by: (91 + 78)/2.

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3 years ago