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3 years ago

9 is 12 percent of what number? ( show your work)

1 answer:

3 0

For this question, we want to find out what 9 / 12 equals as a percent or x / 100. Therefore, we have a proportion here and can say: 9/12 = x/100 Now, at this point, we can cross multiply to get: 900 = 12x Now, divide both sides by 12 to get x alone and find that: x = 75 <==== FINAL ANSWER
so 9 is 12% of 75!
I hope that helps you out! Please let me know if you have any other questions!

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Add or subtract mentally 16.9+ 12.1

saul85 [17]

When you add it mentally you'd get 29
When you subtract it mentally you'd get 4.8

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3 years ago

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Find 5/6(−4 x 2/7). Write your answer in simplest form.

shtirl [24]

-0.96
If you look up that exact equation on google you get -0.952380952 and you just round it to get -0.96

4 0

3 years ago

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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0

3 years ago

PLEASE HELP!!!!! 2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)? 30 points if you can

vredina [299]

Answer:

22 units

Step-by-step explanation:

Known Quantities:

AB = CD and AC = BD

Calculations:

AB = 8
AC = 3
CD = 8
BD = 3

Final Calculations:

perimeter = 2 x (3+8)
perimeter = 22

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2 years ago

Sawyer recorded the number of different types of pets his friends have in the table shown below:

Colt1911 [192]

The answer to your question is <em>"A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners." </em>Because this is the only plot described that fits with the data from the table with the information on how many cats, dogs, rabbits, and guinea pigs there are.

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3 years ago

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