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3 years ago

How can you use a mixed number ti write 11 feet as an equivalent measure in yards

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

Answer: 3 2/3 Yards

Step-by-step Solution:

In order to solve this problem, you'll want to set up a conversion equation.

** 1 Yard = 3 Feet **

To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.

You can then solve by using simple division. I will attach a photo of the steps I did by hand.

** Canceling the units will help avoid confusion **

After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.

3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.

I hope this helps! c:

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A survey was conducted to study the relationship between the annual income of a family and the amount of money the family spends

lisov135 [29]

Answer:

The correct option is d i.e. scatter plot

Step-by-step explanation:

The correct option is d i.e. scatter plot

scatter plot will be the best option to display the variation of expenditure with respect to annual income.

on one axis annual income is used and on the other expenditure of the family. hence for a particular change in annual income, an impact on expenditure will easily be predicted.

6 0

4 years ago

Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.

goblinko [34]

Answer:

Hi,

a=b+3

Step-by-step explanation:

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}$

$\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}$

Thus:

c+2b+8-4a=c-a-b-1

3b-3a=-9

a=b+3

5 0

2 years ago

April had 3 7 of a pound of pecans. her sister ate 2 3 of april's pecans. how many pounds of pecans did april's sister eat?

RideAnS [48]

April had 3/7 of a pound of pecans. Her sister ate 2/3 of April's pecans. How many pounds of pecans did April's sister eat?

Answer:2/7

Explaining 3/7 x 2/3 = 621 = 2/7
Good Luck! :)

7 0

4 years ago

Read 2 more answers

Work out total surface area of pyramid

Agata [3.3K]

You would need to know the dimensions of the pyramid and wether it was triangle or square bottomed

7 0

3 years ago

Oduvanchick [21]

Answer: p = 30 q = 30 (if not touching edge of hexagon but if it is touching edge one of the pairs) then p or q = 120 and p and q = 30

Step 1) Sum of an interior angle of a polygon = 720 degree where n = 6 as 6 exterior sides = (n-2) * 180 = (6-2) * 180 = 4 * 180 = 720 degree Where the measure of each angle of a hexagon = 720/ 6 = 120 degree Step 2) Then show 3 angle letter names = 180 degree Step 3) Angle name letters + 2 angle (other two names letters inside within triangle) add up to 180 degree Step 3) State since triangle name (of all letters within one triangle) is Isosceles Step 4) Triangle (state same triangle letters with number 2 in front) = 180 - 120 = 60 then state triangle (letter name) / 2 = 30 degrees obviously the 120 and 60 differentiates if not a hexagon to a pentagon if not a hexagon = (3 *180) / 5 = 108 then due to isosceles (180 - 108)/ 2 = 72/2 = 36 degree for a pentagon or 30 degree each for p + q for a hexagon etc

6 0

2 years ago