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oee [108]
2 years ago
12

A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic

Mathematics
1 answer:
Anni [7]2 years ago
7 0
<h2>Answer:</h2>

Option: D is the correct answer.

   D. x < 397.9 and x > 402.1

<h2>Step-by-step explanation:</h2>

It is given that:

Each bag is advertised as weighing 400 grams.

Also, a  bag must weigh within 2.1 grams in order to be accepted.

Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.

i.e. the weight of the bag must be such that:

              400-2.1≤ x ≤ 400+2.1

i.e.

             397.9 ≤ x ≤ 402.1

Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.

i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.

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2 (5y-4)&gt;32<br> Solve the inequality for y.
scoray [572]

Answer:

y > 4

Step-by-step explanation:

2 (5y-4)>32

Divide each side by 2

2/2 (5y-4)>32/2

5y-4 > 16

Add 4 to each side

5y-4+4 > 16+4

5y > 20

Divide each side by 5

5y/5 > 20/5

y > 4

5 0
3 years ago
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Tell whether the number is prime or composite 68,52,63, 75, 31, 77, 59, 87
Paha777 [63]
A prime number can only be divided by one oritslef and a composite number can bedivided by other njmbers.
7 0
3 years ago
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you take out a mortgage for 350,000$ at 4% compounded monthly your payment is 1671$ write a recursive formula
Ymorist [56]

Answer:

Not sure if this is right but it might be something like

350,000-4%+1671m

or

3500,000-4%y/1671m

Step-by-step explanation:

The numbers we know are 350,000 4% and 1671 per month

350,000 is the full mortgage

4% is the APR or annual percentage rate like interest

and we know the monthly for the mortgage is 1671 per month

4 0
2 years ago
Calculate the volume of the cube
Andrews [41]

Answer:

s to the power of 3

Step-by-step explanation:

6 0
3 years ago
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I rent a gym for $150 for 30 students another time I rent the gym for $270 for 70 students I need to find a fixed rate
kirza4 [7]

Answer:

Fixed rate is $60.

Step-by-step explanation:

Let us consider per student charge be 'x'.

Let us consider fixed rate be 'b'

Given:

I rent a gym for $150 for 30 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

30x+b=150 \ \ \ \ equation \ 1

Also Given:

another time I rent the gym for $270 for 70 students.

So we can say that;

Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.

framing in equation form we get;

70x+b=270 \ \ \ \ equation \ 2

Now we will subtract equation 1 from equation 2 we get;

70x+b-(30x+b)=270-150\\\\70x+b-30x-b=120\\\\40x=120

Dividing both side by 40 we get;

\frac{40x}{40}=\frac{120}{40}\\\\x=\$3

Now we will substitute the value of x in equation 1 we get;

30x+b=150\\\\30\times3+b=150\\\\90+b=150\\\\b=150-90 =\$60

So we can say that the equation can be written as;

y =3x+60

Hence we can say that fixed rate is $60 and per student charge is $3.

3 0
3 years ago
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