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Alenkinab [10]
3 years ago
8

You are studying for your final exam on the semester. Up to this point, you received 3 exam scores of 99%, 80%, And 70%. To rece

ive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam in order to receive a grade of B for the class. Use interval notation
Mathematics
2 answers:
frozen [14]3 years ago
8 0

Answer: The interval would be [71,107]

Step-by-step explanation:

Since we ave given that

Scores received in 3 exams are 99%, 80%, and 70%.

To receive a grade of B in the class, he must have an average exam score between 80% and 89% for all 4 exams for all 4 exams.

So, Minimum marks he needs for all 4 exams is given by

80\times 4=320

Maximum marks he needs for all 4 exams is given by

89\times 4=356

And his total marks in 3 exams is

99+80+70\\\\=249

Minimum marks he needs in final exam is given by

320-249\\\\=71

Maximum marks he needs in final exam is given by

356-249\\\\=107

Hence, the interval would be [71,107]

Alchen [17]3 years ago
5 0
80*4=320
89*4=356
This is the range of the addition of all 4 scores.

99+80+70=249

320-249= 71
356-249= 107

[71, 100] would be the answer, unless you can get extra credit on the final.
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Answer:

\sqrt {32}

Step-by-step explanation:

Next term of the given AP can be obtained by adding common difference (d) in the last term \sqrt {18}

d =  \sqrt{18}  -  \sqrt{8}  = 3 \sqrt{2}  - 2 \sqrt{2}  =  \sqrt{2}  \\ next \: term =  \sqrt{18}  +  \sqrt{2}   \\  = 3 \sqrt{2}  +  \sqrt{2}  \\  = 4 \sqrt{2}  \\  =  \sqrt{ {4}^{2} \times 2 }  \\  =  \sqrt{16 \times 2}  \\  \huge \red{ \boxed{next \: term =  \sqrt{32} }}

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2 years ago
Julia went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Marvin went to the same movie an
hichkok12 [17]
X=price of one jumbo popcorn
y=price of one chocolate chip cookies

$5.00=$5.00(100 cts / $)=500 cts
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We suggest this system of equations:

x+2y=500
x+4y=600

we solve this system of equations by reduction method.

-(x+2y=500)
  x+4y=600
----------------------
      2y=100    ⇒ y=100/2=50

x+2y=500
x+2(50)=500
x+100=500
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x=400

solution: one chocolate chip cookie cost 50 cts.
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