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2 years ago

2/3 to 3/2 ratio in simplest form

Mathematics

1 answer:

ale4655 [162]2 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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Solve for z. z/4 −2 = 2 z =

PilotLPTM [1.2K]

Answer:

z=16

Step-by-step explanation:

z/4-2=2(take l.c.m)

or,(z-8)/4=2

or,z-8=8

z=16

6 0

2 years ago

The sum of two numbers is 72. one number is 4 less than the other number. what are the two numbers?

-Dominant- [34]

Let 1st number be = x
Thus second number = x - 4

Now

(x) + (x - 4) = 72
2x - 4 = 72
2x = 76
x = 38

1st number is 38 thus 2nd number is (38 - 4) = 34

8 0

3 years ago

Factorise 2x²-9x+10 (this must be put in two brackets)

galben [10]

Find both roots :
$\Delta=81-80=1$ hence $r=\frac{9\pm1}4=\frac{5}2\text{ or }2$

Thus it is $2(x-\frac{5}2)(x-2)$

4 0

2 years ago

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Find the range of this data set: 225 342 288 552 263.

Katarina [22]

The range is 327 the maxim subtract the minimum

4 0

2 years ago

Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc whe

Artemon [7]

Answer:

$L=2l$ where $l,L$ denote arc lengths of two circles

Step-by-step explanation:

Let $l,L$ denote arc lengths of two circles, $r,R$ denote corresponding radii and

$\alpha _1\,,\alpha _2$ denote the corresponding central angles.

So,

$l=r\alpha _1$ and $L=R\alpha _2$

This implies $\alpha _1=\frac{l}{r}$ and $\alpha _2=\frac{L}{R}$

As each circle has an arc where the measures of the corresponding central angles are the same, $\alpha _1=\alpha _2$

$\frac{l}{r}=\frac{L}{R}$

As radius of one circle is twice the radius of the other circle,

$R=2r$

$\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l$

7 0

2 years ago