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ELEN [110]
3 years ago
6

2/3 to 3/2 ratio in simplest form

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

2/3 : 3/2 = 4 : 9

Step-by-step explanation:

LCD(2/3, 3/2) = 6

2/3 : 3/2 = 4/6 : 9/6

Our two fractions now have like denominators so we can multiply both by 6 to eliminate the denominators.

2/3 : 3/2 = 4 : 9

The GCF of 4 and 9 is 1

Divide both terms by the GCF, 1:

4 ÷ 1 = 4

9 ÷ 1 = 9

The ratio 4 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

Therefore:

2/3 : 3/2 = 4 : 9

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5/6+2/9= in simplest form I NEED this plz help
tensa zangetsu [6.8K]

Answer: 1  1/18

Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as  5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max  (5/5 x 1/2 = 5/10= 1/2)

  • First, you need to find a like denominator,  which is 18
  • Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3  ( 3/3 is just  a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply  2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
  • Next you add them but only the numerator  15/18 + 4/18 = 19/18
  • Finally, you change the the fraction into a mixed number 1 and 1/18
6 0
3 years ago
A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult h
bogdanovich [222]

Answer:

(a)

  • Independent Variable- Dosage of Omega-3 Fatty Acids
  • Dependent Variable - Number of news item remembered

(b)Discrete

(c)Ratio Scale and Discrete Variable

(d) Experimental Method

Step-by-step explanation:

The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.

(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).

The memory test involves measuring the number of items each participant remembers from the past three weeks of news.

Therefore:

  • Independent Variable- Dosage of Omega-3
  • Dependent Variable - Number of news item remembered

(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.

(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.

Since the dosage is given in multiples of 50mg, it is a discrete variable.

(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.

5 0
3 years ago
What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3
andrew-mc [135]
Solve <span>4x − 3y = 3 and  5x − 4y = 3

Step 1: Solve for x in 4x-3y=3:
4x-3y=3
4x-3y+3y=3+3y [Add 3y to both sides]
4x=3y+3
</span>\frac{4x}{4} =  \frac{3x+3}{4} [Divide both sides by 4]
x=\frac{3}{4}y+ \frac{3}{4}

Step 2: Substitute \frac{3}{4}y+ \frac{3}{4}<span> for x in 5x-4y=3
5x-4y=3
5(</span>\frac{3}{4}y+ \frac{3}{4}<span>)-4y=3
</span>\frac{-1}{4}y+ \frac{15}{4}  =3
\frac{-1}{4}y+ \frac{15}{4} - \frac{15}{4} =3- \frac{15}{4} [Subtract \frac{15}{4} to both sides]
\frac{-1}{4}y= \frac{-3}{4}
\frac{ \frac{-1}{4}y}{ \frac{-1}{4} }=  \frac{\frac{-3}{4}  }{ \frac{-1}{4}} [Divide both sides by \frac{-1}{4} ]
<span>y = 3

Step 3: Substitute 3 for y in x = </span>\frac{3}{4}y+ \frac{3}{4}
\frac{3}{4}y+ \frac{3}{4}
\frac{3}{4}(3)+ \frac{3}{4}
x = 3
5 0
3 years ago
A room that contains 28 square yards was carpeted at a cost of $322. If
ASHA 777 [7]

The cost for carpeting 20 square yards is $230.

Further explanation:

First of all, we will calculate the cost for one square yard then will find the final answer.

So,

Given

Total area = 28 square yards

Cost of carpeting 28 square yards = $322

Cost of carpeting one square yard = 322/28 = $11.5 per square yard

Now to find the cost of carpeting 20 square yards

Cost of 20 square yards = 20*11.5

= $230

The cost for carpeting 20 square yards is $230.

Keywords: Costing, Word Problems

Learn more about costing at:

  • brainly.com/question/3950386
  • brainly.com/question/4021035

#LearnwithBrainly

3 0
3 years ago
HELP!! T.T This is due tonight!!!
lesya [120]
D and e would be the answer
3 0
3 years ago
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