All categories

3 years ago

Find the ratio in simplest form. 2/3to3/2 9/4 1 4/9

Mathematics

2 answers:

atroni [7]3 years ago

6 0

Answer:

Option 3 - $\frac{4}{9}$

Step-by-step explanation:

Given : Expression $\frac{2}{3}$ to $\frac{3}{2}$

To find : The ratio in the simplest form?

Solution :

According to question,

The ratio is

$\frac{2}{3}:\frac{3}{2}$

The ratio is written as fraction

$=\frac{\frac{2}{3}}{\frac{3}{2}}$

$=\frac{2}{3}\times \frac{2}{3}$

$=\frac{2\times 2}{3\times 3}$

$=\frac{4}{9}$

Therefore, The simplest form of the expression is $\frac{4}{9}$

So, Option 3 is correct.

romanna [79]3 years ago

4 0

4/9 is the simplest ratio......

You might be interested in

Arte-miy333 [17]

Answer:

if you have a bad credit score it can increase your debt ratio

Step-by-step explanation:

3 0

3 years ago

Sarah would like to make a 6 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of a mixture that is 80%

ivolga24 [154]

Answer:

a. The system of equations that models the situation is....

$0.80x+0.50y=3.60\\\\ 0.20x+0.50y=2.40$

b. The solution to the system: x = 2 and y = 4

The amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

Step-by-step explanation:

Suppose, the amount of 80/20 mixture is $x$ pounds and the amount of 50/50 mixture is $y$ pounds.

So, the amount of peanuts in 80/20 mixture $= 0.80x$ pound and the amount of almonds in 80/20 mixture $=0.20x$ pound.

And the amount of peanuts in 50/50 mixture $=0.50y$ pound and the amount of almonds in 50/50 mixture $=0.50y$ pound.

Now, Sarah would like to make a 6 pounds nut mixture that is 60% peanuts and 40% almonds.

So, the amount of peanuts in that mixture $=(6\times 0.60)=3.60$ pounds

and the amount of almonds in that mixture $=(6 \times 0.40)= 2.40$ pounds.

So, the system of equations will be.........

$0.80x+0.50y=3.60 ...................(1)\\\\ 0.20x+0.50y=2.40...................(2)$

Subtracting equation (2) from equation (1), we will get.....

$(0.80x+0.50y)-(0.20x+0.50y)=3.60-2.40\\ \\ 0.60x=1.20\\ \\ x= \frac{1.20}{0.60}=2$

Now, plugging this $x=2$ into equation (1), we will get......

$0.80(2)+0.50y=3.60\\ \\ 1.60+0.50y=3.60\\ \\ 0.50y=3.60-1.60=2\\ \\ y=\frac{2}{0.50}=4$

So, the amount of 80/20 mixture is 2 pounds and the amount of 50/50 mixture is 4 pounds.

7 0

3 years ago

John was swimming for hour and a half hours at a speed of 2 miles per hour. How far did he swim?

alisha [4.7K]

Answer: 1 mile.

Explanation: 1/2 of an hour is 1 mile because the speed was 2 miles an hour so if you do half of that it is 1 mile.

6 0

3 years ago

Read 2 more answers

Select correct answer

Sergio [31]

Answer:

The values of p in the equation are 0 and 6

Step-by-step explanation:

First, you have to make the denominators the same. to do that, first factor 2p^2-7p-4 = \left(2p+1\right)\left(p-4\right)2p

−7p−4=(2p+1)(p−4)

So then the equation looks like:

\frac{p}{2p+1}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{5}{p-4}

2p+1

−

(2p+1)(p−4)

=−

p−4

To make the denominators equal, multiply 2p+1 with p-4 and p-4 with 2p+1:

\frac{p^2-4p}{(2p+1)(p-4)}-\frac{2p^2+5}{(2p+1)(p-4)}=-\frac{10p+5}{(p-4)(2p+1)}

(2p+1)(p−4)

−4p

−

(2p+1)(p−4)

=−

(p−4)(2p+1)

10p+5

Since, this has an equal sign we 'get rid of' or 'forget' the denominator and only solve the numerator.

(p^2-4p)-(2p^2+5)=-(10p+5)(p

−4p)−(2p

+5)=−(10p+5)

Now, solve like a normal equation. Solve (p^2-4p)-(2p^2+5)(p

−4p)−(2p

+5) first:

(p^2-4p)-(2p^2+5)=-p^2-4p-5(p

−4p)−(2p

+5)=−p

−4p−5

-p^2-4p-5=-10p+5−p

−4p−5=−10p+5

Combine like terms:

-p^2-4p+0=-10p−p

−4p+0=−10p

-p^2+6p=0−p

+6p=0

Factor:

p=0, p=6p

7 0

3 years ago

Read 2 more answers

The sum of two numbers is 41 and their difference is 5. what are the two numbers

antoniya [11.8K]

This answer is 23 & 18.

Hope this is helpful!

5 0

3 years ago