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2 years ago

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What is the simplest fraction whose value is equal to the number (red heart) depicted on this number line. (Give your answer as

a fraction, not a mixed number. "Simplest fraction" means the numerator and denominator should have no common divisor greater than 1. : Look closely at the numbers on the number line. (red heart) is between 2 and 3. There are 6 tick marks between 2 and 3. How many regions do those tick marks split the number line into?

1 answer:

maks197457 [2]2 years ago

6 0

Answer:

simplest fraction: 2 1/3 the tick marks split the number into 7 regions

Step-by-step explanation:

The red heart is on the 2 tick mark of the 6 ticks between 2 and 3. The answer is 2 2/6 which after simplifying if equal to 2 1/3.

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if two dice are thrown together , what is the probability of getting an even number on one die and odd number on the other die ?

Veronika [31]

Answer:

1/2

Step-by-step explanation:

the probability of the die rolling an even number = the probability of the die rolling an odd number =1/2

Let us name these 2 dice as A and B

One die can roll an even and the other can roll an odd, in the following cases

A rolls even and B rolls odd. The probability of this happening =1/2×1/2

A rolls odd and B rolls even. The probability of this happening =1/2×1/2

∴ The required probability

=1/2×1/2+1/2×1/2

=1/4+1/4

=1/2

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1 year ago

a group of four students is performing an experiment with salt. each student must add three eights teaspoon of salt to a solutio

vladimir1956 [14]

<em>3/8 divided by 1/8 = 3</em> Each student must fill the tablespoon 3 times
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2 years ago

if set A contains 4 distinct numbers and set B contains 7 distinct numbers, how many elements are in ( A u B)

Juli2301 [7.4K]

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2 years ago

Which is the distance between parallel lines with the equations 3x-5y=1 and 3x-5y=-3

jonny [76]

Answer:

The distance between parallel lines is $0.6860\ units$

Step-by-step explanation:

we have

$3x-5y=1$ -----> equation A

$3x-5y=-3$ -----> equation B

Line A and Line B are parallel lines, because their slopes are equal

Step 1

Find the slope of the given lines

isolate the variable y in the equation A

$5y=3x-1$

$y=(3/5)x-1/5$

The slope is $m=(3/5)$

Step 2

Find the slope of the perpendicular line to the given lines

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

$m1*m2=-1$

we have

$m1=3/5$ -----> given lines

substitute

$(3/5)*m2=-1$

$m2=-5/3$

Step 3

Find the equation of the perpendicular line that pass though the origin

with the slope $m2=-5/3$ and the point (0,0) Find the equation of the line

$y-y1=m(x-x1)$

$y-0=(-5/3)(x-0)$

$y=-(5/3)x$

Step 4

Using a graphing tool

Graph the two parallel lines and the perpendicular line

The intersection points are

$A(-0.2647,0.4412)$ and $B(0.0882,-0.1471)$

see the attached figure

we know that

the distance between the points A and B is the distance between parallel lines

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$d=\sqrt{(-0.1471-0.4412)^{2}+(0.0882+0.2647)^{2}}$

$d=\sqrt{(-0.5883)^{2}+(0.3529)^{2}}$

$d=0.6860\ units$

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