<u>Answer:</u>
Bill has bags of candy with five pieces in each. The Bill has 16 bags
<u>Solution:</u>
Given, Dan has bags of candy with two pieces in each.
Bill has bags of candy with five pieces in each.
Bill has six more bags than Dan.
Then, number of bags with bill = 6 + number of bags with dan.
The total number of pieces candy the two boys have 100.
Now, candies with bill + candies with dan = 100
⇒ 5 pieces per bag x number of bags with bill + 2 pieces per bag x number of bags with dan = 100
⇒ 5 x (6 + number of bags with dan) + 2 x number of bags with dan = 100
⇒ 30 + 5 x number of bags with dan + 2 x number of bags with dan = 100
⇒ (5 + 2) x number of bags with dan = 100 – 30
⇒ 7 x number of bags with dan = 70
⇒ Number of bags with dan = 10
So, number of bags with bill = 6 + 10 = 16
Hence, bill has 16 bags.
The answer is 1,800, you would multiply 5 by 10 which is 50 then t would be 50 to the 4th power 50 times 4 is 200. then you do the same on the other side 3 time 10 which is 30 to the second power which is 90 than you multiply 200 and 90 because when you have two parentheses next to each other you always multiply but when you do that your answer turns out to be 1,800
It would be: 8 (x + 3) - 2x
= 8x + 24 - 2x
= 6x + 24
In short, Your Answer would be 6x + 24
Hope this helps!
Answer:
5/18
Step-by-step explanation:
Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...
<u>-4 </u>x <u>-5</u> = <u>20</u> (when you multiply two negatives, it makes a positive)
9 x 8 = 72
20/72 simplifies to 5/18.
Hope this helps!! Have a wonderful day C:
Answer:
<u>Option D: A cylinder with a circumference of about 50 units</u>
Step-by-step explanation:
The rest of the question is the attached figure.
The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr
===================================================
Given: the perimeter of the square = 32
perimeter of a square is four times the length of its side
So, the side length of square = 32/4 = 8 units
The square is rotated about line k.
So, it will form a cylinder with radius 8 units.
Circumference of a circle = 2 π r
Where, r is the radius of the circle.
Circumference of the base is C = 2 π * 8
∴ C = 16π = 16 * 3.14
∴ C = 50.26548 ≈ 50
The shape is created by the rotation is a cylinder with a circumference of about 50 units.
<u>So, the answer option is D.</u>
