Shelley compared the number of oak trees to the number of maple trees. she counted 9 maple trees to every 5 oak trees in the beginning of the year. at the end of the year,the new ratio of the number of maple tree to the number of oak trees is 3:11. at the end of the year,there were 132 oak trees . how many more maple tree were then in the beginning of the year than the end of the year? explain

Answers

Answer 1

Answer: so at the end of the year maple:oak=3:11 and there were 132 oak so 132=11 units 132/11=12 so there were 3 times 12 maple trees at the end or 36 so 36:132
assuming the units stay the same (1 unit=12) in the biginning of the year there were 108 maple trees
108-36= 72
there were 72 more

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at a dog park, there are 12 golden retrievers and 20 poodles . what is the ratio of golden retrievers to poodles

Answers

golden retrievers: 12/32
poodles: 20/32
does it need to be simplified?

um not to be rude or anything but wouldn't the ratio be 12:20.

The diameter of a cylinder is 3yd the height is 8yd

Answers

Answer:

volume= 56.55 yds

Step-by-step explanation:

If you're looking for the volume, the formula is $V=\pi r^(2) h$ .

Diameter is two times the radius (radius is half of the diameter) so the radius of the cylinder would be 1.5 yds.

After you've gotten that information, plug those values into the formula.

$V=\pi 1.5^(2) 8$

Solve 1.5^2 first. Then multiply that value by pi. Then multiply that value by the height which is 8yds.

Volume=56.55yds rounded to the nearest hunderedth.

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock. But this quantity of fabric can make only 1 1/3 shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?

Answers

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
$3 (1)/(6) yards :1 (1)/(3)shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 (1)/(6) =3+ (1)/(6) = 3* (6)/(6)+ (1)/(6) = (18)/(6) + (1)/(6) = (18+1)/(6) = (19)/(6)$

Similarly, 1 1/3 = 4/3:
$1 (1)/(3) =1+ (1)/(3) = 1* (3)/(3)+ (1)/(3) = (3)/(3) + (1)/(3) = (3+1)/(3) = (4)/(3)<span>$

Now, let's use this in the proportion:
$3 (1)/(6) yards :1 (1)/(3)shirts =xyards:2shirts$
$(19)/(6) : (4)/(3) = x:2$

Crossing the products:
$x* (4)/(3) =2* (19)/(6)$
⇒ $x* (4)/(3) = (19)/(3)$
⇒ $x = (19)/(3) : (4)/(3)$
$x= (19)/(3) * (3)/(4)$
⇒ $x = (19)/(4) = (16+3)/(4) = (16)/(4) + (3)/(4) =4+ (3)/(4) =4 (3)/(4)$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

Answer:

The answer is 4 3/4 yards of the fabric.

jon has 12 pennies. lucy has 17 pennies. how many more pennies do they need to have 75 pennies altogether.

Answers

12+17=29 so 75-29=46 so they need 46 more

What is the minimum area of cardboard needed to make a box that is 16 centimeters long, 12 centimeters wide, and 6 centimeters tall?