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2 years ago

15

There are 527 pencils 646 erasers 748 sharpeners there are to be put in seperate packets containing the same number of items fin

d the maximum number of the items possible in each packet

1 answer:

blsea [12.9K]2 years ago

7 0

Step 1

<u>Find the Greatest Common Factor (GCF)</u>

the prime factorization of each number is equal to

$527=17*31\\ 646=2*17*19\\ 748=2^{2} *11*17$

The GCF is 17

That means that the maximum number of packets is 17 and the maximum number of the items possible in each packet is

Number of pencils=527/17=31 pencils in each packet

Number of erasers=646/17=38 erasers in each packet

Number of sharpeners=748/17=44 sharpeners in each packet

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6 questions = 30 points someone please help me

eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = $2\pi rL$

Area of the parts that cover the open parts of cylinder = $2\pi r^2$

Therefor Total are of the cylinder = $2\pi rL+2\pi r^2$

Area of the total cylinder = $2*3.14*6.8*14.2+2*3.14*6.8^2$

= $896.784$

<u>Therefor best estimate will be D) 923 in^2</u>

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

$(AC)^2+(CB)^2=(AB)^2$

The distance from A to C = 6

The distance from C to B = 5

$(AC)^2=6^2=36$

$(CB)^2=5^2=25$

$(AC)^2+(CB)^2=(AB)^2=36+25=61$

Therefor $(AB)^2=61\\(AB)=\sqrt{61}$

<u>Therefor Answer is D) Sqr 61</u>

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 = $\frac{1}{2} *(110+40)*110=8250$

Area of the Store 2= $\frac{1}{2} *110*80=4400$

Therefore Revenue from Store 1 = $8250

Revenue from Store 2 = $4400

<u>Answer is A) Store 1 has more sales revenue</u>

Answer for Question 4

$\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545$

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

$\frac{11}{23} =0.4782$ , therefor this is not in between those two numbers.

Then it has to be $\frac{115}{264} =0.4356$

<u>Answer is B)</u>

Answer for question 6

The equation of a straight line is of the form $y=mx+c$

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

$\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2$

Therefor the equation of the graph is,

$y=2x+1$

<u>Answer is C</u>

Answer for question 7

$\frac{7}{8} =0.875$

$\frac{6}{9} =0.67$

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

$\frac{53}{72} =0.73$ , This falls between the above 2 numbers.

<u>Therefor answer is C</u>

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2 years ago

The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the

taurus [48]

Product of two consecutive integer so this mean that x and y but y = x+1 than

x(x+1)=1332

x^2 +x -1332 =0 so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie

x^2 +x -1332 = 0

(x+37)(x-36)=0

x+37=0

x=-37 so the larger integer result that will be 37

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Answer:

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cc

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Answer:

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