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RoseWind [281]
3 years ago
13

For a future teachers of America fundraiser,denzell sold food as shown in the table . He sold 11 more subs than pixxasand earned

a total of $233. Write and solve a system of equations to represent this situation. Then describe what the solution means.
Item selling Price
pizza $5.00
sub $3.00
Mathematics
1 answer:
torisob [31]3 years ago
4 0

Let x be number of pizza sold

Y be the number of sub solds

 

Equation 1

Y = x + 11

 

Equation 2 ( earned total $ 233)

 

5x + 3y = 233

 

Solving the equations simultaneously

 

X = 25 pizzas were sold

<span>Y = 36 subs were sold</span>

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Elden [556K]
Y = - b/3 +4x - 13/3

8 0
3 years ago
The length of a rectangular kitchen floor is 8 feet longer than w, its width. Which expression represents the area of the floor?
Nookie1986 [14]

Answer:

see below

Step-by-step explanation:

We can write the length as w + 8 and since area is length * width our answer is w * (w + 8) = w² + 8w.

7 0
3 years ago
An object launched straight up at a speed of 29.4 meters per second has a height, h, in meters of h , t seconds after the object
Nostrana [21]

Answer:

h = 44.06 meters (maximum height)

the time the object takes to complete this whole path is 6 seconds, this is why the time at which the object reaches its maximum height will between 0 and 6 seconds

Step-by-step explanation:

To solve this question, we need to first recognize that this is a constant acceleration problem, specifically, it can be thought of as a projectile motion problem.

Recall, the equations of motion:

1) v^2 - v_0^2 = 2a(s - s_0)\\2) s = v_0^2  + \frac{1}{2} at^2\\3) v = v_0 + at

What do we already know?

  • v_0 = 29.4 ms^-1
  • The launch is straight up
  • a = -9.81 ms^-2 this is the gravitational acceleration g
  • s_0 = 0 m, since our reference point is at s = 0, (the ground)

We can use use the Eq(1):

we know that when any object is launched up, at maximum height its velocity is going to be zero, v = 0 ms^-2

v^2 - v_0^2 = 2a(s - s_0)\\0^2 - (29.4)^2 = 2(-9.81)(s- 0)\\s = 44.06 m

this is the maximum height!

Why does t have to between zero and six?

We can answer this using a bit visualization, if you think about the second equation

s = v_0 t - \frac{1}{2}at^2\\ s = 29.4t - 4.905t^2

this is the equation of the whole trajectory that object makes.

and if you solve this by making s = 0, you will get the times at which the object was at the ground. the times will be 0s and 5.99s.

so the amount of time the object takes to go through this whole path is 6 seconds and this why the object will only reach its maximum height in between this time interval.

hope this helps :)

5 0
3 years ago
A librarian knows that 45% of the books currently checked out will NOT be returned on the due date. The library has a
malfutka [58]

Answer:

79 books

Step-by-step explanation:

45% books not returned = 55% books will be returned

145 books currently checked out

55% of 145 = 79.75

since you can't return 3/4 of a book, i would round down to 79.

7 0
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Victor wants to purchase some clothes. He has $76. He buys a pair of jeans for $40, two shirts each at $9 and three pairs of soc
myrzilka [38]

Answer:

お手伝いしたいのですが、わかりません。わかりやすくするために別のフレーズを使用してください。

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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