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Usimov [2.4K]
2 years ago
5

The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost

for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?
On a coordinate plane, a line goes through points (6, 8) and (12, 4).
(0, 12)
(0, 18)
(12, 0)
(18, 0)
Mathematics
1 answer:
Advocard [28]2 years ago
4 0

Answer:

1) y=12 and 2) (0,12) and (18,0)

Step-by-step explanation:

1) y intercept is when x=0, so 3y=36, y=12

2) the equation of line is y=-(2/3)x+18, so the answer is (0,12) and (18,0)

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The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence
vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0
3 years ago
Are the given lenghts a right triangle? 28, 53,45​
aalyn [17]
Yes that should be correct
5 0
3 years ago
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Micheal runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?
ANEK [815]
Micheal's rate is 7 miles per 80 minutes, which can be written as a fraction:
7/80, which equals 0.0875.
Now you can say that Micheal runs 0.0875 miles per one minute.
Multiply 0.0875 by 64,
64(0.0875) = 5.6

Micheal would run 5.6 miles in 64 minutes.
7 0
3 years ago
Find inequality represented by graph please help
kirill115 [55]
U have a dashed line...meaning there is no equal sign in the problem.....it goes thru the origin (0,0)...meaning the y int is 0....u have a slope of 3/4

so ur inequality is : y = 3/4x <==
5 0
3 years ago
Find the length of the missing side<br><br> a) 17 cm<br> b) 22 cm<br> c ) 15 cm<br> d) 13 cm
Black_prince [1.1K]

Answer:

Step-by-step explanation:

You just have to use the Pythagorean theorem which is A squared plus B squared = C squared. So you have A and B already so just put it in an equation

A^{2} +B^2=C^2\\5^2+12^2=C^2\\169=C^2\\13=C

5 0
3 years ago
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