Plz me with all of the problems thx

Step-by-step explanation:

17. A board 8 1/4 wanting to be cut out of the board are a number of pieces each piece 1 3/4 long

Convert both 8 1/4 and 1 3/4

8 1/4 = Multiply the denominator(4) by the whole number(8) to get 32 then add it to the numerator(1) to get 33, then put it over the original denominator to get 33/4.  Do the same for the rest of the questions.

1 3/4 = 7/4

Divide 33/4 by 7/4 since we want to see how many times we can get 7/4 out of 33/4

33/4 ÷ 7/4

33/4 * 4/7,  Changing the division sign to multiplication changes the fraction or number after it to the inverse of itself 7/4 = 4/7

132/28 - simplify by dividing the numerator and denominator by 4

33/7 -  She will be able to cut 33/7 boards

Converting back to mixed fraction, divide the numerator by the denominator to give 4, write it as the whole number then write the remainder, 5, as the numerator and use the original denominator 7

= 4 5/7 boards

18. Total = 50

One serving = 1 1/3 = 4/3

50 ÷ 4/3

50 * 3/4

150/4 - simplify

75/2

= 37 1/2 servings

19. Saturday = 1 1/3 = 4/3

Sunday = 2 3/4 = 11/4

In a week, she watches 4/3 + 11/4 = 49/12 hrs

In 3 weeks, she watches 49/12 * 3 = 147/12- simplify = 49/4 hrs

= 12 1/4 hrs

20. Total = 10

Sister = 3 1/2 = 7/2

Brother 4 1/5 = 21/5

Total given out = 7/2 + 21/5 = 77/10

What's left = 10 - 77/10 = 7/3

= 2 1/3 lbs

21. One day = 4 1/4 = 17/4

One week = 7 days

17/4 * 7 = 119/4

= 29 3/4 houses

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

what is the answer?