MATHEMATICS MIDDLE SCHOOL

Jessica is converting 60 feet per hour into yards per hour. Which conversion factor should she use?A. 1yd/3ft
B. 1h/60 min
C. 60 min/ 1h
D. 3ft/ 1yd

Answers

Answer 1
Answer: A. Check to make sure the conversion factor units will cancel out the original units and leave the desired units

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Find the arithmetic combination of f(x) =x+2, g(x)=x-2

Answers

Answer:

The arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4,  (f * g)(x) = \mathrm{x}^(2)-4 , \left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)

Solution:  

Given, two functions are f(x) = x + 2 and g(x) = x – 2

We need to find the arithmetic combinations of given two functions.

Arithmetic functions of f(x) and g(x) are (f + g)(x), (f – g)(x), (f * g)(x), \left((f)/(g)\right)(\mathrm{x})

Now, (f + g)(x) = f(x) + g(x)

= x + 2 +x – 2

= 2x

Therefore (f + g)(x) = 2x

similarly,

(f - g)(x) = f(x) - g(x)

= x + 2 –(x – 2)

= x + 2 –x + 2

= 4

Therefore (f - g)(x) = 4

similarly,

(f * g)(x) = f(x) * g(x)

= (x + 2) * (x – 2)

= x * (x – 2) + 2 * (x -2)

=x^(2)-2 x+2 x-4

=x^(2)-4

Therefore  (f * g)(x) = x^(2)-4

now,

\left((f)/(g)\right)(\mathrm{x})=(f(x))/(g(x))

=(x+2)/(x-2)

((f)/(g))(x) = (x+2)/(x-2)

Hence arithmetic combinations of given functions are (f + g)(x) = 2x, (f - g)(x) = 4,  (f * g)(x) = \mathrm{x}^(2)-4 , \left((f)/(g)\right)(\mathrm{x})=(x+2)/(x-2)

Sean's mom asks him how long his homework will take. He tells her that he needs to read for 25 minutes and also do some math problems that will take m minutes. All together, his homework will take h minutes. Write an equation for the number of minutes Sean's homework will take h, if his math problems take m minutes

Answers

Answer:  The required equation is h=25+m.

Step-by-step explanation:  Given that Sean's mom asks him how long his homework will take.

He tells her that he needs to read for 25 minutes and also do some math problems that will take m minutes. All together, his homework will take h minutes.

We are to write an equation for the number of minutes Sean's homework will take h, if his math problems take m minutes.

Since Sean needs to read for 25 minutes and do some math problem for m minutes, so total time that Sean will take will be

25+m.

Also, since Sean takes h minutes altogether to complete his homework, so the equation is written as

25+m=h\n\n\Rightarrow h=25+m.

Thus, the required equation is h=25+m.

Answer:

h=25+m

Step-by-step explanation:

Hope this helped I did it on Khan Academy

A rational number can be written as a fraction with any number in the numerator and the denominator. Is this true or false? Why or Why not?

Answers

It's close to being true, but it needs a couple of clarifications.

The fraction needs whole numbers in the numerator and
denominator, and the denominator can't be zero.

How do you find the area of parralelogram

Answers

Answer:

See below.

Step-by-step explanation:

The area = length of  the base * perpendicular height.

If you are given the lengths of the side  and  the measure of one of the angles you can use the trigonometry to find the  perpendicular height.

Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60 percent of the items on our list," her father says. Anastasia sees 12 items in the cart.

Answers

Hi

Left to do 40% of the shopping

12 items ⇒ 60% of the items
x items ⇒ 40% of the items

60x = 12(40)
60x = 480
x = 480/60
x = 48/6
x = 8 items 

Answer:

Left 8 items of the list (40% of the shopping)

Items: 12+8 = 20 items on her list

Answer:

20

Step-by-step explanation:

its 20 trust me

The diagonal of a TV set is 52 inches long. It's length is 28 inches more than the heigh. Find the dimensions of the TV set.

Answers

The diagonal makes a triangle. Pythagorous means that 52^2=L^2+w^2. 52^2=2704. 2704/2 is 1352. The square root of this is 36.77 inches. If you add 14 onto one and minus 14 from the other (because 14+14=28) you get 50.77 inches (the width) and 22.77 inches (the height).
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