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klemol [59]
3 years ago
13

Jeremy is having his basketball team over for an end-of-season party. He has $80 to spend on pizza and soda. Pizzas cost $13.99

each and cases of soda cost $4.49 each. Write an inequality to represent this scenario. Make sure to define your variables.
Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

13.99p + 4.49s ≤ 80

Step-by-step explanation:

Pizza is p and soda is s.  If he has only $80 to spend on a combination of both, he cannot obviously spend more than that.  Therefore, the inequality sign is "less than or equal to".  He can spend 80, but he can also spend less than 80.  He cannot spend anything over that, since he doesn't have it to spend!

If pizzas are represented by p, and we know the cost of each one is 13.99, we represent one pizza as 13.99p; if the cost of sida is 4.49 per case, we represent one case as 4.49s.  

The sum of these cannot exceed 80, so the inequality, then, is:

13.99p + 4.49s ≤ 80

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Answer:

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Mark bought a package of 62 candies to stuff 10 party favor bags. If each party favor bags receives and equal number of will be
timama [110]
2 candies will be left over after you but ten in each bag.
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17. Which of the following equations would graph a line parallel to 3y = x + 5? (
Naddik [55]

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st

Step-by-step explanation:

Parallel lines have same slopes and different y-intercepts

To find which equation would graph a line parallel to 3y = x + 5

1. Put the equation in the form of y = mx + c

2. m is the slope of the line and c is the y-intercept

3. Look for the equation which has the same values of m and different

   values of c

∵ 3y = x + 5

- Divide each term of the equation by 3 to put the equation in the

 form of y = mx + c

∴ y = \frac{1}{3} x + \frac{5}{3}

∴ m = \frac{1}{3}

∴ c = \frac{5}{3}

The first answer:

∵ 3y = x + 1

- Divide each term of the equation by 3

∴ y = \frac{1}{3} x + \frac{1}{3}

∴ m = \frac{1}{3}

∴ c = \frac{1}{3}

∵ The two equations have same slope m = \frac{1}{3}

∵ The two equations have different y-intercepts c = \frac{5}{3}

   and c = \frac{1}{3}

∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5

Learn more:

You can learn more about slope of a line in brainly.com/question/12954015

#LearnwithBrainly

8 0
3 years ago
The volume of a cube is 343 cubic centimeters. how many centimeters long is each edge of the cube?
motikmotik
If the volume is 343 cubic cm the length of each side is 7cm.

3 0
3 years ago
The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.
Elden [556K]

Answer:

height = 12 cm

base length = 4 cm

Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

x = y + 8

24 = y × (y + 8) / 2

48 = y × (y + 8) = y² + 8y

squared equation

y² + 8y - 48 = 0

solution

y = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 8

c = -48

y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

5 0
3 years ago
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