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vichka [17]
3 years ago
6

It takes Bill 3 minutes to eat one apple and it takes Frank 5 minutes to eat 2 apples. How long would it take for frank and bill

to eat a dozen apples (12).
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Step-by-step Answer:

Given:

Bill : 3 minutes / apple

Frank : 5 minutes / 2 apples, or 2.5 minutes / apple.

So in 15 minutes, Bill eats 5 apples, and Frank eats 15/2.5 = 6 apples for a total of 11 apples.

To eat completely at least 12 apples, it would take 15 minutes + 1 apples, which means 17.5 minutes, with Bill having eaten 5 5/6 apples, and Frank having eaten 7 apples, exactly.

So the minimum time to eat 12 apples would be 17.5 minutes.

Note: at 18 minutes, they would have eaten 13 1/5 apples.

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Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular's plan charges $39.99 per mont
Eduardwww [97]

Answer:

It will take 100 additional minutes for the two plans to cost the same.

Step-by-step explanation:

Tim is choosing between two cell phone plans, Cingular and Verizon. They offer the same amount of free minutes.

Cingular's plan charges $39.99 per month with additional minutes costing $0.45.

Verizon's plan costs $44.99 with additional minutes at $0.40

Let a = the number of additional units that it will take the two plans to cost the same.

This means total cost of Cingular's plan additional minutes will be 0.45a and total cost of Verizon's plan additional minutes will be 0.4a

For the two plans to cost the same,

39.99 + 0.45a = 44.99 + 0.4a

0.45a - 0.4a = 44.99 - 39.99

0.05a = 5

a = 5/0.05 = 100

8 0
3 years ago
Sam scored 36 marks out of 60.Express the marks in percentage ​
Pani-rosa [81]

Answer:

60%

Step-by-step explanation:

7 0
3 years ago
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An acre of land planted with sugar beet produces 550 gallons of ethanol from the sugar by fermentation. A car converted to run o
valkas [14]

Answer:

Step-by-step explanation:

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fdsa

4 0
2 years ago
Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]
Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

a-6 = -11\\a = -11+6\\a = -5

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

  • brainly.com/question/1414350
  • brainly.com/question/1430645

#LearnwithBrainly

4 0
3 years ago
Tamara looked at the expression 35 + z < 59. She believes that z can equal more than one value.
MakcuM [25]

Answer:

z<24

Step-by-step explanation:

It can't be more than one value. All you do is subtract 35 from both sides to isolate z.

Hope this helped!

4 0
3 years ago
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