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Dvinal [7]
3 years ago
11

the accompanying diagram shows that the length of a pencil from its eraser to its tip is 7 units and that eraser is 1.5 units wi

de the picture was placed on a photocopy machine and reduced to 66 2/3%. what is the new size of the pencil

Mathematics
1 answer:
DochEvi [55]3 years ago
6 0

Answer:

width = 1 units

Length= 4 2/3 units

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the original width of the pencil by the percent decrease in decimal form (divided by 100).

1.5 x ([66 2/3] /100) =1.5 ([2/3]/100) =1 unit

Same process for the length:

7 x ([66 2/3] /100) =7 ([2/3]/100)= 4 2/3 unit

Feel free to ask for more if needed or if you did not understand something.  

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What is 6.42 written as a fraction in lowest terms?
FinnZ [79.3K]

Answer:

6 21/50

Step-by-step explanation:

  1. Convert 6.42 into a fraction (6 42/100)
  2. The GCF of 42 and 100 is 2, so divide 42 and 100 by 2 to simplify.
6 0
3 years ago
What is the set of counting number less than 10?
zhuklara [117]
Counting numbers are whole integers starting from 1 and going to infinity. It doesn't include negative numbers or zero.

Therefore, the set would be:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
5 0
4 years ago
Read 2 more answers
Find the equation of the line. A line that is perpendicular to the graph of 3x +2y =6 and contains the point (6,-3)
aniked [119]

9514 1404 393

Answer:

  2x -3y = 21

Step-by-step explanation:

The perpendicular line will have an equation with the x- and y-coefficients swapped and one of them negated. The constant will be the value that makes the equation true at the given point.

  3x +2y = 6 . . . . . given equation

  2x -3y = c . . . . . . coefficients swapped, one negated

  2(6) -3(-3) = c = 21 . . . . . the value of c for the given point

The desired equation is ...

  2x -3y = 21

6 0
3 years ago
$ 20,000 is invested at a rate of 5% compounded quarterly. Identify the compound interest function ta model the situation. Then
liq [111]

Answer:

the balance after 5 years is: 26540.744

Step-by-step explanation:

Given the information:

  • P = initial balance  = $ 20,000
  • r = interest rate (decimal)  = 5% = 0.05
  • n = number of times compounded annually  = 4
  • t = time  = 5

We have the compound interest function ta model the situation is:

A=P(1+\frac{r}{n} )^{nt}

<=> A = 20000(1+\frac{0.05}{4} )^{4*5}

<=> A = $26540.744

Hence, the balance after 5 years is: $26540.744

7 0
3 years ago
jen is 26 years younger than her mom. Together their ages total 50 how old is Jen? How old is her mom?
lesantik [10]
Jen is twelve years old and her mom is 38. 38 plus 12 is 50
5 0
3 years ago
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