Maths-

General

Easy

Question

A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used $30 straight percent sign$ of the paper. Which of the following equations models the number of sheets of paper, p , remaining in the machine m minutes after the machine started printing?

$p = 5, 000 - 20 m$
$p = 5, 000 - 75 m$
$p = 5, 000 (0.3)^{\frac{m}{20}}$
$p = 5, 000 (0.7)^{\frac{m}{20}}$

hint Hint:

We use logical thinking to solve this problem.

The correct answer is: $p equals 5 comma 000 left parenthesis 0.7 right parenthesis to the power of m over 20 end exponent$

Step 1 of 2:
A photocopy machine is initially loaded with 5000 sheets of paper. It copies at a constant rate. After 20 minutes, it has used 30% (= 30/100 = 0.3) of the paper.
Since the machine copies at a constant rate, from the above given data we can determine the rate as $left parenthesis 0.3 right parenthesis to the power of 1 over 20 end exponent$
Step 2 of 2:
For m minutes, the machine will copy 5000 $left parenthesis 0.3 right parenthesis to the power of m over 20 end exponent$
Now, it is asked to find the number of sheets remaining in the machine. So, in that case, after m/20 minutes it should be left with (100 -30)% = 70% = 70/100 =0.7 of papers.
Hence, the remaining number of sheets, p, be 5000(0.7)^m^/20.
Final Answer:
The right choice is— D) $p equals 5000 left parenthesis 0.7 right parenthesis to the power of m over 20 end exponent$

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The correct answer is: $p equals 5 comma 000 left parenthesis 0.7 right parenthesis to the power of m over 20 end exponent$

Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below.

On what interval did the number of figurines decrease the fastest?

Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below.

On what interval did the number of figurines decrease the fastest?

Solve each inequality and tell whether it has infinitely many or no solution :
-2(x-5)≥-2x+10

Solve each inequality and tell whether it has infinitely many or no solution :
-2(x-5)≥-2x+10

Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

Solve each inequality and tell whether it has infinitely many or no solution:
0.5x+8<2x-4

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

One pound of grapes costs $straight $ 2$ . At this rate, how many dollars will c pounds of grapes cost?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Triangles ABC and DEF are shown above. Which of the following is equal to the ratio $fraction numerator B C over denominator A B end fraction$ ?

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
-2x-5≥3x-25

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Solve each inequality and tell whether it has infinitely many or no solution:
7.2x+6≤2.4x

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
4(3-2x)≥-4

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
-2(2x+1)<24

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

Solve each inequality and tell whether it has infinitely many or no solution:
$0.25 x plus 3 minus fraction numerator 7 x over denominator 8 end fraction less than negative 2$

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?

$negative x plus y equals negative 3.5$
$x plus 3 y equals 9.5$
If (x, y) satisfies the system of equations above, what is the value of y ?