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3 years ago

Can someone please help me you have to explain your answer plzzz help ?!?!?!?!?!

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer:

<h3>Question 1</h3>

Let number of adult tickets - x, student tickets - y

<u>Required equations:</u>

x + y = 8
7.25x + 5.50y = 52.75

<u>Solve by substitution x = 8 - y</u>

7.25(8 - y) + 5.50y = 52.75
58 - 7.25y + 5.50y = 52.75
1.75y = 5.25
y = 5.25/1.75
y = 3

x = 8 - 3 = 5

Answer: 5 adults and 3 students

<h3>Question 2</h3>

Pair of gloves costs- x, hats cost- y

<u>Equations:</u>

2x + 4y = 43
2x + 2y = 30

<u>Solve by elimination, subtract the equations:</u>

2y = 43 - 30
2y = 13
y = 6.5

2x = 30 - 13
2x = 17
x = 8.5

Answer: Gloves cost $8.5, hats cost $6.5

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The temperature in a town 29.7 °F during the day -19.7°F at night. Find the difference in the temperature

timofeeve [1]

Answer:

Step-by-step explanation:

29.7 - (-19.7) = 29.7 + 19.7 = 49.4°F

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3 years ago

Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a

laila [671]

Answer:

We have a system of equations with no solutions.

One of the equations is:

x + y = 5.

Isolating y in one side of the equation, we get:

y = 5 - x

And the other equation has an y-intercept of -2, the equation can be written as:

y = a*x - 2.

Then the system will be:

y = -1*x + 5

y = a*x - 2

The solution of a system of equations is a point where the graphs of both functions intersect.

Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.

And two lines are parallel if they have the same slope.

Then the other equation will be:

y = -x - 2

8 0

3 years ago

Which of the following represents the set of possible rational roots for the

Marat540 [252]

Answer:

is there an option for no solution? because when I solved there were no possible rational solutions

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP

guajiro [1.7K]

−2x2−6.8x−210. Im pretty sure this is the answer good luck.

7 0

3 years ago

Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

<em>There is an important fact about the parallel lines: </em>

Parallel lines have equal slopes

<em>The rule of the slope of a line is:</em>

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

<em>Let us use the fact and the rule to solve the question</em>

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago