Subtract the fractions. Write each difference in simplest form. 11/12

The sugar company will choose from two companies to transport its sugar to market. the first company charges $6500 to rent truck

yulyashka [42]

Answer:

20 ton

Step-by-step explanation:

We created a system of two separate equations to answer these questions.

"y" will be the total cost to transport the sugar

"x" will be the amount of sugar transported

Therefore, we have to:

y = 3995 + 225.50 * x

y = 6500 + 100.25 * x

We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:

3995 + 225.50 * x = 6500 + 100.25 * x

solved we have:

225.50 * x - 100.25 * x = 6500 - 3995

125.25 * x = 2505

x = 2505 / 125.25

x = 20

which means that when the amount of sugar transported is 20 tons, the price is the same

4 0

3 years ago

Find the x-intercept and the y-intercept without graphing. Write the coordinates of each intercept.

ANEK [815]

Answer:

Point of x-intercept: (2,0).

Point of y-intercept: (0,6).

Step-by-step explanation:

1. Finding the x-intercept.

This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:

$y=-3x+6\\ \\-3x+6=0\\ \\-3x=-6\\\\x=\frac{-6}{-3} \\ \\x=2$

Hence, the point of x-intercept: (2,0).

2. Finding the y-intercept.

This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:

$y=-3(0)+6\\ \\y=6$

Hence, the point of y-intercept: (0,6).

7 0

11 months ago

Read 2 more answers

What is the discriminant of the quadratic equation 0 = –x2 4x – 2? a.–4 b.8 c.12 d.24

MrMuchimi

X^2 - 4x + 2
d = b^2 - 4ac, where a = 1, b = -4 and c = 2
d = (-4)^2 - 4 x 1 x 2
d = 16 - 8
d = 8

4 0

2 years ago

The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou

Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as $\sigma^2 = mean = 6.2$

hence, standard deviation is given as $\sqrt{6.2} = 2.48998$

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2 surgeries in a given day is

$P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)$

$= \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}$

= 0.002029 + 0.012582+ 0.039006

= 0.053617

= 0.0536

7 0

2 years ago

Help please ASAP thank you

jonny [76]

Question 1

If we let $FE=x$ , then $DE=x-5$ .

Also, as $\overline{DF}$ bisects $\overline{BC}$ , this means $BE=EC=6$ .

Thus, by the intersecting chords theorem,

$6(6)=x(x-5)\\\\36=x^2 - 5x\\\\x^2 - 5x-36=0\\\\(x-9)(x+4)=0\\\\x=-4, 9$

However, as distance must be positive, we only consider the positive case, meaning FE=9

Question 2

If we let CE=x, then because AB bisects CD, CE=ED=x.

We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.

By the intersecting chords theorem,

$2(32)=x^2\\\\64=x^2\\\\x=-8, 8$

However, as distance must be positive, we only consider the positive case, meaning CE=8

4 0

2 years ago

Subtract the fractions. Write each difference in simplest form. 11/12 - 7/12 =