Eoin plans to purchase 6.50 pounds of cheese that costs $4.75 per pound. he used the following steps to estimate the cost.
step 1: round 6.50 pounds up to 7.
step 2: round $4.75 up to $5.00.
step 3: multiply 5 by 7 to get 35.
step 4: conclude that the cost will be just over $35.00.
in which step does eoin make a mistake?
a. in step 1, he should have rounded the weight down to 6 pounds.
b. in step 2, he should have rounded the cost down to $4.00.
c. in step 3, he chose the wrong operation to calculate cost.
d. in step 4, he should have concluded the cost would be under $35.00

Eoin make a mistake in the step 4 i.e  
Eoin conclude that the cost will be just over $35.00.  


Option (D) is correct .

Step-by-step explanation:

In the first step  
Eoin rounded up the 6.50 pounds of cheese to 7 .

In the second step  
Eoin rouunded up the $4.75 per pound of cheese to $5.00 .

In the third step the multiplication of the 7 pound of cheese to $5.00 (cost per  pound of cheese ) is 35 .

There is the mistake in the fourth step .

Exact cost of the 7 pound of cheese is 35 not over $35 .

Therefore the  
Eoin  should have concluded the cost would be under $35.00   .

Option (D) is correct .

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.