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Evgen [1.6K]
3 years ago
8

Mrs. Taylor is planning a pizza party for her students. She plans to purchase cheese pizza and pepperoni pizza for her students

to enjoy. Cheese pizzas cost $8 each and pepperoni pizzas cost $11 each. She needs to purchase at least 12 pizzas, while spending no more than $180.
What are two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit?

Let x represent the number of cheese pizzas purchased and y represent the number of pepperoni pizzas purchased.
Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

Step-by-step explanation:

She needs 12 pizzas

x + y = 12

She also can't spend more than 180 dollars.

8x + 11y < 180 She can get all 12 pizzas and have the bill come to 132 dollars

11 * 12 = 132

She could really be kind to her pocket book and get all cheese pizzas

8*12 = 96 which saves her 36 dollars.

So any number of either kind will do.

(0,12) = 132

(1,11) = 8*1 + 11*11 = 129

and so on down the line

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Answer:

The total number of apples is 17

Step-by-step explanation:

(a)

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P ( that all three apples are green)

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= 4! / 3!(4−3)!

= 17! / 3!(17−3)!

= 1 / 170

= 0.005

(b)

Number of red apples = 8

P(that all three apple are green)

=(limit 8 and 3) / (limit 17 and 3)

= 8! / 3!(8−3)!

= 17! / 3!(17−3)!

= 7 / 85

= 0.082

Now,

P(that no three apple is red)= 1−0.082 = 0.918

c)

P(of selecting 4 apple that contain at least 2 red apples)

= (limit 8 and 2) /( limit 17 and 2) X (2/15) + (limit 8 and 3) /(limit 17 / 3) X (1/14)

= (7/34) × (2/15) + (7/85) × (1/14)

= 0.027 + 0.058

= 0.085

d)

P(that the second apple selected is yellow given that the first apple is red)

= (limit 5 and 1) / ( limit 16 and 1)

= 5! / 1!(5−1)!

= 16! / 1!(16−1)!

= 5 /16

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5 0
3 years ago
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Answer:

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2 years ago
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3(2v+5)=33

Simplify both sides of the equation

3(2v+5)=33

Distribute

(3)(2v)+(3)(5)=33

6v+15=33

Subtract 15 from both sides

6v+15-15=33-15

6v=18

Divide both sides by 6

6v/6=18/6

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I hope that's help !


7 0
3 years ago
Matthew's dad hired him to paint 6 wooden patio chairs for $125. It takes him 9 hours to paint all of the chairs. If it takes th
frozen [14]

Given:

Matthew's dad hired him to paint 6 wooden patio chairs for $125.

Time taken by him to paint all of the chairs = 9 hours.

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Now, time taken by Matthew to paint one chair is

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\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}

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Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.

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