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4 years ago

What is 18/21 in lowest terms

Mathematics

2 answers:

vaieri [72.5K]4 years ago

5 0

Answer:

6/7

somehow three

Step-by-step explanation:

18/21=

6/7

ie 3 can go into 18,6 times and can go into 21,7 times.

Maurinko [17]4 years ago

3 0

Answer:

Step-by-step explanation:

You might be interested in

The sum of two numbers is 21. The larger number is 6 less than twice the smaller number. Find the two numbers.

Vesnalui [34]

Hey there! :D

21= 2x-6+x

21=3x-6

27=3x

x=9

The smaller number is 9.

The larger number is:

9*2= 18 18-6= 12

The larger number is 12.

I hope this helps!
~kaikers

3 0

3 years ago

3. Rewrite -2x + 3y = 6 in slope intercept form.

zaharov [31]

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Further explanation:

The standard slope-intercept form is:

$y=mx+b$

Given equation is:

$-2x+3y=6$

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

Adding 2x on both sides

$-2x+3y+2x=6+2x\\3y=2x+6$

Dividing both sides by 3

$\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}$

Simplifying

$y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2$

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

#learnwithBrainly

4 0

3 years ago

Hey can you help me fast I am at a 83 and I need to get to a 90 on this.

jeyben [28]

Answer:

2/5

Step-by-step explanation:

First by looking, you have a slope going upward to the right so it is a positive slope.

Two points on the line that seem to go directly through the grid at the intersection points are ( -60, -90) and ( 40, -50).

Slope is Rise (y axis) over the Run (x axis). The numbers above have x first and y second.

So the rise is the total distance between -90 and -50 which is 40.

The run is the total distance between 40 and -60 which is a total of 100.

It takes 40 units to get back to the 0 mark on the x axis and the another 60 units to get to the -60 point.

So you slop is 40/100. You can simplify this down to 4/10 or even further to give you 2/5.

8 0

2 years ago

The base of a rectangle is 6cm longer than its height. The area of a rectangle is 91cm squared. What is the perimeter of the rec

r-ruslan [8.4K]

Width = 7cm

Length = 13cm

Explanation:

Area of rectangle = $91cm^{2}$

Let width of the rectangle = b ,

So, length = b+6

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

$91cm^{2} = b (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0\\$

On solving the quadratic equation we get,

b = 7cm

So, width (b) = 7cm

and length = 7+6

l = 13cm

Hence,

Width = 7cm

Length = 13cm

6 0

3 years ago

g Use the information below for questions 1 through 5. A San Francisco-based tech firm is able to keep 80% of its new employees

meriva

Answer:

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

Step-by-step explanation:

For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A San Francisco-based tech firm is able to keep 80% of its new employees after one year.

This means that $p = 0.8$

Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year

This is P(X = 2) when n = 2. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{2,2}.(0.8)^{2}.(0.2)^{0} = 0.64$

0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year

3 0

3 years ago