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Ksivusya [100]
3 years ago
5

Duane’s scores on the first three math tests this quarter are 82, 74, and 96. Which is the lowest score he could get on the four

th test so that his average score will be at least 80 for the quarter?
Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

84

Step-by-step explanation:

(The sum of 82, 74, and 96 would be 252. And the count of numbers included in the question would be 3, and so you would divide the count from the sum as shown like Sum/Count. In this case it'd be 252/3, and that would equal 84.)

Average =  Sum/Count  

=   252/3  

=  84

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Let f(x)= x^4 + ax^2 +b. The graph of f has a relative minimum at (0,1) and an inflection point when x=1. The values of a and b
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7 0
3 years ago
pheobe andy and polly share £270 pheobe gets three times as much as andy who hets twice as much as polly how much do they each g
KIM [24]
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - £270
Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total £270. Thus,

B + A + L = £270 (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as

B = 3A

3. Andy has twice as much money as Polly and this is expressed as

A = 2L (EQUATION 2)

4. This means that Phoebe has ____ as much money as Polly,

B = 3A
B = 3 x (2L)
B = 6L (EQUATION 3)

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,

6L + 2L + L = £270
9L = £270
L = £30

So, Polly has £30.

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.

A = 2L
A = 2(£30)
A = £60

Andy has £60

B = 6L
B = 6(£30)
B = £180

Phoebe has £180
5 0
3 years ago
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