MATHEMATICS
HIGH SCHOOL

t = total price

p = price per kilogram

k = number of kilograms of food

A. t=p/k

B. t=k/p

C. t = p × k

D. t = p + k

Answer: For this case we have the following variables:

t = total price

p = price per kilogram

k = number of kilograms of food

We then have that the equation that models the total cost is a linear equation of direct variation.

Where, the slope of the line represents the price per kilogram.

k: is the independent variable

t: it is the dependent variable

The equation is given by:

Answer:

C. t = p × k

t = total price

p = price per kilogram

k = number of kilograms of food

We then have that the equation that models the total cost is a linear equation of direct variation.

Where, the slope of the line represents the price per kilogram.

k: is the independent variable

t: it is the dependent variable

The equation is given by:

Answer:

C. t = p × k

Answer: We are given the three variables: t = total price, p = price per kilogram, k = number of kilograms of food. In this case, we can see that multiplying price per kilogram multiplied by the number of kilograms of food is equal to price. This means the answer that translates here is t = pk. Answer is C.

MIDDLE SCHOOL

2±√44 /2

How do you simply this radical

Answer:

depends on whether the 2 divides everything or just the square root

see below

Step-by-step explanation:

2 ±sqrt(44) /2

We know that sqrt(ab) = sqrt(a) sqrt(b)

2 ±sqrt(4*11) /2

2 ±sqrt(4) sqrt(11) /2

{2 ±2 sqrt(11)} /2

Now if the 2 in the denominator is under the entire top

Factor out a 2

2 ( 1±sqrt(11)} /2

Cancel the 2

1±sqrt(11)

If the 2 is just under the sqrt of 44

2±2sqrt(11) /2

Cancel the 2 in the numerator and denominator

2±sqrt(11) /1

2±sqrt(11)

HIGH SCHOOL

What is the period of the function y=3(tan 6x)?

With all trig functions, the period can be calculated with the equation PB = 2π.

P = period

B = anything in the tangent part of the equation except the x. (in this case, it would be 6)

When we plug in 6 for B, we get 6P = 2π.

Divide both sides by 6 and you get P = 2π / 6

OR

P = π/3

P = period

B = anything in the tangent part of the equation except the x. (in this case, it would be 6)

When we plug in 6 for B, we get 6P = 2π.

Divide both sides by 6 and you get P = 2π / 6

OR

P = π/3

MIDDLE SCHOOL

In which quadrants of the coordinate plane is the shaded region of the inequality located? y ≤ x A) I, II and III B) I, II, and IV C) I, III, and IV D) II, III, and IV

Answer:

The quadrants of the coordinate plane, the shaded region of the inequality located is:

Option: C

C) I, III, and IV

Step-by-step explanation:The graph of the inequality y ≤ x is a straight solid line ( since the inequality is non-strict) and the shaded region is below the line.

Hence, the region which is covered by the shading is:

first, third and fourth quadrant.

The answer to this question is C) I, III, and IV. Only quadrant II has no solution points for this inequality.

MIDDLE SCHOOL

Jody made 10 party invitations. yesterday she mailed 4 of them. what decimal represents the number of invitations that have been mailed

0.4 invitations have been mailed because it's "out of ten."

MIDDLE SCHOOL

What is the slope of (0,1) and (5,4)

Answer:

3/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-1)/(5-0)

m=3/5

MIDDLE SCHOOL

Josh made his school basketball team this year. He played 10 minutes in his first game, but he played twice that amount in each of the other games. Let y represent the total number of minutes Josh played in x games. Which type of sequence does the situation represent?

A.

The situation represents an arithmetic sequence because the successive values have a common difference of 10.

B.

The situation represents an arithmetic sequence because the successive values have a common difference of 20.

C.

The situation represents a geometric sequence because the successive values have a common ratio of 2.

D.

The situation represents a geometric sequence because the successive values have a common ratio of 5.

Answer:

B. The situation represents an arithmetic sequence because the successive values have a common difference of 20.

Step-by-step explanation:

(x, y) values appear to be ...

(1, 10) . . . . 10 minutes played in the first game

(2, 30) . . . 20 minutes played in the second game, adding 20 to the total

(3, 50) . . . 20 minutes played in the third game, adding 20 to the total

From here, we can see that each additional game adds 20 minutes to the total (y), so the sequence is ...

an arithmetic sequence because the successive values have a common difference of 20

MIDDLE SCHOOL

1/7 x 4/5 =

1 1/3 x 5/8 =

5/6 x 2/3 =

Answer:

- × =

- × =

- × =

Step-by-step explanation:

- Consider the first equation, ×.

Solving this as follows:

The fraction cannot be simplified any further.

- Consider the second equation, ×

Solving this as follows:

The fraction cannot be simplified any further.

- Consider the second equation, ×

Solving this as follows:

The fraction cannot be simplified any further.

COLLEGE

What is the answer for 1/5k+15

I hope this helps you

1/5k+15.5/5

1k+75/5

1/5k+15.5/5

1k+75/5

The correct answer is k = 75

MIDDLE SCHOOL

Solve: The total cost (C) in dollars for building a house of x square feet is given

by the function C(x) = 50,000 + 155x.

If the total cost was $283,275.00, how many square feet was the house?

Answer:

1505 square feet.

Step-by-step explanation:

okay so what you do is:

283,275.00-50,000; because 50000 is one section of 283,275 and we are trying to find what 155x equals.

283,275- 50,000= 233275

233275/155= 1505; you do this next because you found out that 283,275- 50,000= 233275, so now you have to divide 233275 by 155 because you have to find out what x is. and your answer is 1505