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lubasha [3.4K]
3 years ago
15

X + y is rational, must x and y each be rational

Mathematics
2 answers:
iren [92.7K]3 years ago
7 0
The rationals are closed under addition, so if x,y are rational then x+y must be rational since Q is a group under addition.
timofeeve [1]3 years ago
3 0
Yes because x and y must be integers
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Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also
galina1969 [7]

Answer: 3x + 5 = 57.50

Step-by-step explanation:

Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:

= 3x

His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:

= 1.50 + 1.50 + 2.00

= $5.00

The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:

3x + 5 = 57.50

5 0
2 years ago
You are flying a kite on a line that is 350 feet long. Let's suppose the line is perfectly straight (it never really is) and it
aliina [53]

Answer:

We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.

And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.

This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°

A = 90° - 65° = 25°

Then the altitude of the kite is the adjacent cathetus to this angle.

We can use the relation:

sin(A) = Adjacent cathetus/hypotenuse.

Sin(25°) = X/350ft

Sin(25°)*350ft = X = 147.9m

4 0
3 years ago
Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
taurus [48]
The answer to your question is 4.11 if I’m correct
8 0
2 years ago
16/21 × 20/24 × 28/15​
Troyanec [42]

Answer:

32/27

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Help me please !!!!!!!!!!!!!!
tensa zangetsu [6.8K]

Answer:

\large\boxed{V=\dfrac{49\pi}{3}\ in^3}\approx51.29\ in^3}

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have

r = (7 : 2) in = 3.5 in

H = 4 in

Substitute:

V=\dfrac{1}{3}\pi(3.5)^2(4)=\dfrac{1}{3}\pi(12.25)(4)=\dfrac{49\pi}{3}\ in^3

\pi\approx3.14\\\\V\approx\dfrac{(49)(3.14)}{3}\approx51.29\ in^3

5 0
3 years ago
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