If a large shake uses 8/9 pint of milk and a medium 1/7 of the amount of the large how much does the medium take?

8 3/5 - 1 3/10 = ? this is fractions

Semenov [28]

1) $8 \frac{3}{5} - 1 \frac{3}{10}$

2) $8 \frac{6}{10} - 1 \frac{3}{10}$ =

3) $7\frac{3}{10}$

Answer
$7 \frac{3}{10}$

4 0

3 years ago

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Find (f*g) (x) for the following functions. f(x) = 9x2 – 2x – 9 g(x) = 11x – 9

e-lub [12.9K]

Answer:

all work is shown and pictured

4 0

3 years ago

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The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?

creativ13 [48]

Answer:

C. x is y less than z

Step-by-step explanation:

x+y=z

by using transposition

x = z-y

whatever x is, it is equal to the value of y taken from z

8 0

2 years ago

Find the center of the circle that you can circumscribe about DABC.

Vlada [557]

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

A circle can be modelled after a expression of the form:

$A\cdot x + B\cdot y + C =-x^{2}-y^{2}$ (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that $(x_{1}, y_{1}) = (2, 8)$ , $(x_{2}, y_{2}) = (0, 8)$ and $(x_{3}, y_{3}) = (2, 2)$ , then the solution of the system of linear equations is:

$2\cdot A + 8\cdot B + C = -68$ (2)

$8\cdot B + C = -64$ (3)

$2\cdot A + 2\cdot B + C = -8$ (4)

$A = -2, B = -10, C = 16$

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

$x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0$

$(x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0$

$(x-1)^{2}+(y-5)^{2}= 10$

The center of the circle that circumscribe about DABC is $(h,k) = (1, 5)$ .

To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983

5 0

2 years ago

A summer camp has 400 ft of float line with which to rope off three adjacent rectangular areas of a lake for swimming? lessons,

Rashid [163]

Answer:

a) A = x*(400 - 4*x)

b) domain of function A(x) is ( 0 , 100 )

c) dimension of swimming section x = 30 ft maximizes area.

Step-by-step explanation:

Given:

- Total length of float-line used L = 400 ft

- Inner sections length x

Find:

a) Express the total area A as a function of x

b) Find the domain of the function

c) Using the graph, find the dimensions that leads to largest area

Solution:

- The amount of side length of the rectangle can be calculated from the total length given y:

y = L - x - x - x - x

y = L - 4*x

y = 400 - 4*x

- The area of a rectangle is as follows:

A = x*y

- Replace y with the expression derived first:

A = x*(400 - 4*x)

- To find the domain of the function we know that A >= 0:

400*x - 4x^2 > 0

x(400 - 4x) > 0

x > 0 , 400 - 4*x < 0

x < 100

- Hence, the domain of function A(x) is ( 0 , 100 )

- From the graph given, we can see that Area is maximum when x = 30 ft. Denoted by the turning point of the graph.

- Hence, the dimension of swimming section x = 30 ft maximizes area.

5 0

3 years ago