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3 years ago

How many rational numbers lie between-2/3 and 7/3

Mathematics

2 answers:

Lemur [1.5K]3 years ago

6 0

Answer:

{x:x=-2/3-7/3}

Step-by-step explanation:

B/c ther are many rational number between them.

so that let me make some example

x>4/5 x€Q then the solution set is {x€Q:x>4/5} just like that

tiny-mole [99]3 years ago

3 0

Answer:

infinite

Step-by-step explanation:

name two, and then find a third in between them.

you can repeat that as often as you want.

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△ABC is a right isosceles triangle, the centers of two arcs are the midpoint of AB

mel-nik [20]

Answer:

Step-by-step explanation:

Let's define 3 areas:

S = area of semicircle with radius 6 in (diameter AB)
T = area of quarter circle with radius 6√2 in (radius AC)
U = area of triangle ABC (side lengths 6√2)

The white space between the "moon" and the triangle has area ...

white = T - U

Then the area of the "moon" shape is ...

moon = S -white = S -(T -U) = S -T +U

The area we're asked to find is ...

moon - triangle = (S -T +U) -U = S -T

The formula for the area of a circle of radius r is ...

A = πr²

So, ...

S = (1/2)π(6 in)² = 18π in²

and

T = (1/4)π(6√2 in)² = 18π in²

The difference in areas is S -T = (18π in²) -(18π in²) = 0.

There is no difference between the areas of the "moon" and the triangle.

4 0

3 years ago

Uwu this isnt a test but its practiceee

igor_vitrenko [27]

<u>Answer</u>: B, (-3/2, -1)

<u>Step-by-step explanation:</u>

When you use the midpoint formula, (x1+x2/2 , y1+y2/2) you end up taking one away from -4, and dividing it by 2 (-3/2), and when you add 2 to -4, you get -2, divided by 2, is -1.

4 0

3 years ago

Maria and farida has 250 beads altogether. After Maria used 18 beads to make a bracket and farida gave away 2/5 of her beads, th

Elenna [48]

Answer:

Maria had 105 beads at first.

Step-by-step explanation:

Let number of beads Maria have be x.

Let number of beads Farida have be y.

Given:

Maria and Farida has 250 beads altogether.

Hence equation is represented as;

$x+y =250 \ \ \ \ equation \ 1$

Also Given:

Maria used 18 beads to make a bracket.

hence bead left with maria = $x-18$

farida gave away 2/5 of her beads.

Hence beads left with Farida = $y - \frac{2}{5}y= \frac{5y}{5}-\frac{2y}{5}=\frac{5y-2y}{5}=\frac{3y}{5}$

Also they have the same number of beads left.

bead left with maria = beads left with Farida

$x-18= \frac{3y}{5}\\5(x-18)=3y\\5x-90=3y\\5x-3y =90 \ \ \ \ equation \ 2$

Now Multiplying equation 1 with 3 we get;

$3(x+y)=3\times250 = 3x+3y = 750 \ \ \ \ equation \ 3$

Now adding equation 2 by equation 3 we get;

$(5x-3y)+(3x+3y) = 750+90\\5x-3y+3x+3y = 840\\8x=840\\x=\frac{840}{8}=105$

we know the value of x = 105

hence substituting value of x in equation 1 we get;

$105+y=250\\y=250-105 =145$

Maria had 105 beads and Farida had 145 beads at first.

Final Answer: Maria had 105 beads at first.

7 0

3 years ago

For which inequality would x = 8 not be a solution?

Naya [18.7K]

Put the value of x to the inequality:

$4x+3 > 0\\L=4(8)+3=32+3=35;\qquad R=0;\qquad L > R\ CORRECT\\\\9x-5 < 100\\L=5(8)-5=40-5=35;\qquad R=100;\qquad 35 < 100\ CORRECT\\\\x+4\leq10\\L=8+4=12;\qquad R=10;\qquad 12 > 10\ INCORECT (\leq)\\\\72\div x\geq4\\L=72\div 8=9;\qquad R=4;\qquad 9\geq4\ CORRECT$

3 0

3 years ago

What does "math is not an spectator sport" mean?

lapo4ka [179]

You can do math in sports to calculate angles and other stuff

6 0

3 years ago

How many rational numbers lie between-2/3 and 7/3​

How many rational numbers lie between-2/3 and 7/3