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expeople1 [14]
3 years ago
9

Members of a baseball team raise $967.50 to go to a tournament. They rented a bus for $450.00 and budgeted $28.75 per player for

meals. They will spend all the money they raised.
Write and solve an equation that models the situation and could be used to determine the number of players, p, the team could bring to the tournament.
Mathematics
2 answers:
WINSTONCH [101]3 years ago
7 0
967.50 = 450 + 28.75p
967.50 - 450 = 28.75p
517.5 = 28.75p
18 = p
lutik1710 [3]3 years ago
3 0

Answer: The equation that models the situation is

28.75p+450.00=967.50 and p=18


Step-by-step explanation:

Let p be the number of players the team could bring to the tournament.

Total amount raised by the members of a baseball team=$967.50

Rent of bus = $450.00

Budget of meal per player = $ 28.75

Thus, the total budget of meal of the base ball team = $28.75p

Now, according to the question

28.75p+450.00=967.50\\\Rightarrow28.75p=967.50-450.00\\\Rightarrow28.75p=517.5\\\\\Rightarrow\ p=\frac{517.5}{28.75}\\\\\Rightarrow\ p=\frac{51750}{2875}\\\Rightarrow\ p=18

Hence the total number of players in the baseball team = 18.

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Paulina swims 5 miles down a creek with a current for 2 hours. It takes her 4
Westkost [7]

Answer: her swimming speed = 1.875 mph

Speed of current = 0.625 mph

Step-by-step explanation:

Let x represent her swimming speed.

Let y represent the speed of the current.

Paulina swims 5 miles down a creek with a current for 2 hours. Since this is faster, it means that she swam with the current. Her total speed would be (x + y) mph

Distance = speed × time

Therefore,

5 = 2(x + y)

dividing both sides by 2, it becomes

2.5 = x + y- - - - - - -1

It takes her 4 hours to swim the same 5 miles back to her original destination against the

same current. It means that her total speed was (x - y) mph

Distance covered would be

5 = 4(x - y)

Dividing both sides by 4, it becomes

1.25 = x - y- - - - - - - 2

Adding equation 1 to equation 2, it becomes

3.75 = 2x

x = 3.75/2

x = 1.875

Substituting x = 1.875 into equation 1, it becomes

2.5 = 1.875 + y

y = 2.5 - 1.875

y = 0.625

4 0
3 years ago
Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286.
Nitella [24]

Answer: the cost of one cherry pie is $18 and the cost of one pumpkin pie is $20

Step-by-step explanation:

Let x represent the cost of one cherry pie.

Let y represent the cost of one pumpkin pie.

Lea sold 2 cherry pies and 4 pumpkin pies for a total of $116. This means that

2x + 4y = 116 - - - - - - - - - - - - - -1

Kali sold 7 cherry pies and 8 pumpkins pies for a total of $286. This means that

7x + 8y = 286 - - - - - - - - - - - - 2

Multiplying equation 1 by 7 and equation 2 by 2, it becomes

14x + 28y = 812

14x + 16y = 572

Subtracting, it becomes

12y = 240

y = 240/12 = 20

Substituting y = 20 into equation 1, it becomes

2x + 4 × 20 = 116

2x + 80 = 116

2x = 116 - 80 = 36

x = 36/2 = 18

7 0
3 years ago
katherine bought cosmetic items which cost $78.12 in total she gave $100 to the shop keeper how much does she receive as change?
Leviafan [203]
Answer: $21.88 here is your answer.
7 0
3 years ago
Read 2 more answers
Select the polynomial that can be factored as (4x-5)(16x^2+20x+25)
bezimeni [28]

f(x) = 64x³ - 125

Multiply each term in the second factor by each term in the first factor

= 4x(16x² + 20x + 25) - 5(16x² + 20 x + 25)

=64x³ + 80x² + 100x - 80x² - 100x - 125

= 64x³ - 125 ← difference of cubes




5 0
3 years ago
I need help with this please :(
alina1380 [7]

Answer:

4¹⁸

Step-by-step explanation:

(4⁻³)⁻⁶

= 4⁽⁻³⁾⁽⁻⁶⁾

= 4¹⁸

4 0
3 years ago
Read 2 more answers
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