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Kisachek [45]
3 years ago
15

If a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11, what is the

average of a, b, and c, in terms of x?
Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

2x+4

Step-by-step explanation:

Given that a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11

By definition of arithmetic mean,

we have a=\frac{4x+7}{2} \\b=\frac{5x+6}{2} \\c=\frac{3x+11}{2}

Let us calculate sum of a,b,c in terms of x

a+b+c = \frac{4x+7+5x+6+3x+11}{2} \\=6x+12

Average = sum/3 = \frac{6x+12}{3} =2x+4

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BlackZzzverrR [31]

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26ft

Step-by-step explanation:

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Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one
agasfer [191]

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

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interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

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The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

4 0
3 years ago
Which ordered pairs (x,y) are solutions to the linear equation 2x+3y=6
Nuetrik [128]

Answer:

I think it is 0,2

Step-by-step explanation:

Because you need to substitute the ordered pairs into the linear equation:

so,

2(0)+3(2) = 6

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The two side, so equation are identical, so the correct answer is (0,2).

I hope this helps!

8 0
2 years ago
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