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Butoxors [25]
3 years ago
7

Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6

sandwiches.
Mathematics
2 answers:
klio [65]3 years ago
5 0
4 ounces per sandwich because 24/6 is 4
allsm [11]3 years ago
4 0

Answer:

4

Step-by-step explanation:

it is 4 because if you divide 24 by 6 it will equal 4.

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A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
3 years ago
CONSUMER MATH!!
Alexxx [7]

Answer:

$10.52

Step-by-step explanation:

(1137.45 x 14.7%) / 12 - (1137.45 x 3.6%) /12 = 10.52

6 0
3 years ago
Let f(x) = 2x – 1 and g(x) = 3x<br> Find g(f(x))
Gemiola [76]
6x-3

You have to put f(x) into g(x) to find the answer, so you rewrite it like this: 3(2x-1)
7 0
3 years ago
for a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R
Mademuasel [1]

Answer  :

Step-by-step explaation:

c(80) =40x80 +150 =3350  üretim için 80  parçanın maliyeti

satış için ise : R(80) 0.5(80-110)^2+6,050 =  456

3350-456=2983.95 kar ederler  

5 0
2 years ago
Determine whether a quadratic model exists for the set of values below. If​ so, write the model. f(0) = -4, f(3) = -19, f(-1) =
Vikentia [17]

Answer:

  A) The model exists: f(x) = -3x^2 +4x -4

Step-by-step explanation:

A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.

Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.

The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...

  f(x) = -3x^2 +4x -4

7 0
2 years ago
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