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Slav-nsk [51]
2 years ago
10

James is in charge of the decorations. he hs a total budget of $50 to spend for all of the decorations. james spends $20 on one

banner and would like to buy balloons that cost $2 each with the rest of the money. Write an equation to represent the situation.
How many balloons can james buy?
Mathematics
1 answer:
Musya8 [376]2 years ago
8 0
He can buy 15 balloons

His budget (amount of money he can spend) is $50. If he spent $20 on the banner, that means he has $30 left. He wants to spend the rest on balloons $2 each. Simply- 30 divided by 2 which is 15
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Can someone help me with this problem, please?
Masja [62]

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Length = 2 ft

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Step-by-step explanation:

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Robin surveyed 5 students from the choirs of 4 different schools. He asked them how many hours they practice singing each day. S
Fittoniya [83]

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3 0
2 years ago
Three listening stations located at (3300, 0), (3300, 1100), and (-3300, 0) monitor an explosion. The last two stations detect t
erastovalidia [21]

Answer:

The coordinates of the explosion is (3300, -2750)

Step-by-step explanation:

I have plot the points and attached to thus answer for easy understanding.

Now, from the question, since station A is the first to hear the explosion, we'll make it the foci of the parabola in the graph I attached and it will be horizontal since the distance between station C and A is much more than that between station B and A. Thus, the reason why station C will have to be the other foci with the hyperbola centred at the origin.

Now, sound travels at a speed of 1100 ft/s and station B is located 1100 ft from station A. Thus, the explosion would likely have occurred at a point on the line x = 3300ft . Since station A is 3300ft from centre C = 3300,hence C² = 3300² = 10,890,000. Since it takes 4 seconds longer for the sound to reach station C than A, the sound has traveled 4(1100)= 4400 ft.

Thus, 4400 = d1 = d2 = 2a

So,2a = 4400 and so, a =2200

a² = 2200² = 4,840,000 where d1 is the distance from station C to the explosion and d2 is the distance from station A to the explosion. To find b², let's use the equation ;

c² = a² + b² and so; b² = c² - a² = 10,890,000 - 4,840,000 = 6,050,000

Equation of hyperbola is given as;

(x²/a²) - (y²/b²) = 1

Plugging in the values of a² and b², we obtain ;

(x²/4,840,000) - (y²/6,050,000) = 1

Since we have deduced that the explosion must occur on the line x= 3300, we'll put in 3300 for x to obtain ;

(3300²/4,840,000) - (y²/6,050,000) = 1

2.25 - 1 = (y²/6,050,000)

y² = (1.25 x 6,050,000)

y² = 7562500

y = √7562500

y = ± 2750

Due to the fact that the explosion will occur at a point further from station B than from station A, the explosion will take place in quadrant 4. Thus, we will take the negative value of y which is - 2750.

So explosion will occur at the coordinate (3300, -2750)

7 0
3 years ago
A point has the coordinates (0, k).
Lemur [1.5K]
**Answer**:
The Reflection across y axis
Step-by-Step Explanation:
A reflection across the y axis with x Coordinate of 0 will stay 0 and also does
Not change the y Coordinate of k

~ hope this helps
3 0
2 years ago
Read 2 more answers
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