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Dvinal [7]
2 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]2 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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Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).
Darina [25.2K]

Answer:

a^2 + 2ab + b^2

Step-by-step explanation:

Given

(a + b)^2

Required

Express as a standard polynomial

We have:

(a + b)^2

Rewrite as:

(a + b)(a + b)

Open bracket

a^2 + ab + ab + b^2

Add like terms

a^2 + 2ab + b^2

4 0
2 years ago
URGENT PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER ABC factory brought a pile of coal. If the factory burns 1500 kilogram
wolverine [178]

Solving a system of equations, we will see that there are 6000 kg of coal on the pile.

<h3>How many kilograms of coal are in the pile of coal?</h3>

Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.

We know that:

  • If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
  • If it burns 1000 kilograms per day, it will take an additional day than planned.

Then we can write the system of equations:

(1500)*(D - 1) = N

(1000)*(D + 1) = N

Because N is already isolated in both sides, we can write this as:

(1500)*(D - 1) = N = (1000)*(D + 1)

Then we can solve for D:

(1500)*(D - 1) =  (1000)*(D + 1)

1500*D - 1500 = 1000*D + 1000

500*D = 2500

D = 2500/500 = 5

Now that we know the value of D, we can find N by replacing it in one of the two equations:

(1500)*(D - 1) = N

(1500)*(5 - 1) = N

(1500)*4= N = 6000

This means that there are 6000 kilograms of coal on the pile.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
1 year ago
A researcher wished to compare the average amount of time spent in extracurricular activities by high school students in a subur
Kisachek [45]

Answer:

A 0.01

Step-by-step explanation:

<em>I saw the answer on the internet.</em>

3 0
3 years ago
Seventy thousand in standard form
lys-0071 [83]

Answer: 70,000

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which statement about the graph of the line y=x+1/2 will be true if the 1/2 is replaced by -2
Semmy [17]
The y-intercept (where the line hits the y-axis) will move from (0, 1/2) to (0, -2)
6 0
2 years ago
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