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Evgesh-ka [11]
3 years ago
11

John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the ma

ximum number of bags he can make?
Mathematics
1 answer:
Elena L [17]3 years ago
3 0

The maximum number of bags is an illustration of the greatest common factor

The maximum number of bags John can make is 8

The given parameters are:

Chocolate=48

Peanut=56

Start by expressing 48 and 56 as a product of their factors.

Chocolate = 1 \times 2 \times 2 \times 2 \times 2 \times 3

Peanut = 1 \times 2 \times 2 \times 2 \times 7

The product of the common factors between the above products is:

Factors = 1 \times 2 \times 2 \times 2

Multiply

Factors = 8

The above represents the greatest common factor of 48 and 56.

Hence, the maximum number of bags John can make is 8

Read more about greatest common factor at:

brainly.com/question/219464

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
Solve for f. 2+1.25f=10-2.75f
Harrizon [31]
f = 2

Simplify both sides of the equation <span><span>1.25f</span>+2</span>=<span><span>−<span>2.75f</span></span>+<span>10

Add 2.75 to each side </span></span><span><span>4f</span>+2</span>=<span>10

Subtract 2 from both sides </span><span>4f</span>=<span>8

Divide each side by 4 </span>f=<span>2</span>
<span>


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8 0
3 years ago
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What is the lowest common denominator of 4,5,6,7,8 and 9?
Readme [11.4K]

Answer:

least common is 1!

Step-by-step explanation:

plz mark me brainliest

5 0
4 years ago
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Please help.........
faust18 [17]
The answer for PA is 60/13. This is found by
The area of the rectangle is 60, therefore, the big triangle areas are 30 each. We know that the hypotenuse is 13, so therefore, we get
1/2(13*PA) = 30. This then simplifies to 
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Hope this helps and have a nice day:)
5 0
3 years ago
A triangle has points R(-2,0) ,S(2,8) and T (8,2) as shown in the group. M is the midpoint of RT . What is the length of SM
wlad13 [49]

The midpoint is calculated by averaging the coordinates of its endpoints:

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Now we can use the usual distance formula to get the length of SM:

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5 0
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