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4 years ago

4. Write these fractions in the simplest form. 6_9

Mathematics

2 answers:

kompoz [17]4 years ago

6 0

Answer:

$\Large \boxed{\displaystyle \frac{2}{3}}$

Step-by-step explanation:

$\displaystyle \frac{6}{9}$

Factor out 3 from the numerator and denominator.

$\displaystyle \frac{3(2)}{3(3)}$

Cancel the common factors.

$\displaystyle \frac{2}{3}$

Lisa [10]4 years ago

3 0

Answer:

Given fraction is 6/9 .

→What does fractions in simplest form means?

Fractions are said to be in simplest form if the HCF of numerator and denominator is equal to 1 .

→ How to convert?

We will find the HCF of numerator and denominator and we will divide the numerator and denominator by that number.

Now HCF of 6 and 9 is 3.

→ 6/9 = 6÷3/9÷3 = 2/3.

Hence the required answer is 2/3.

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Circle A and circle B are congruent. CD is a cord of both circles. if AB = 24 inches in the radius is 13 inches how long is CD A

Nitella [24]

Option A

Length of CD is 10 inches

Solution:

The diagram is attached below

Given that, Circle A and circle B are congruent

CD is a cord of both circles

AB = 24 inches

Radius = 13 inches

To find: length of CD

Draw a straight line connecting A and C

AC represents the radius of circle. Also given that radius is 13 inches, So AC = 13 inches

Given in question that AB = 24 inches

Therefore from figure, AO = AB/2 = 24/2 = 12

AO = 12

Let "b" be the length of CO

Therefore, CD = CO + OD = b + b

AOC forms a triangle, so we can use pythogoras theorem

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for triangle AOC

$AC^2 = AO^2 + OC^2$

Substituting AC = 13 and AO = 12 and OC = b

$13^2 = 12^2 + b^2\\\\b^2 = 169 - 144\\\\b^2 = 25\\\\b = 5$

Thus length of CD is:

CD = b + b = 5 + 5 = 10

Thus length of CD is 10 inches

8 0

4 years ago

4. At a baseball game, the ratio of Barons fans to Blue Sox fans is 8 : 3. If you know that at least 22,000 people are attending

Anna11 [10]

8+3 = 11

22000 / 11 = 2000

2000 x 3 = 6000

at least 6,000 Blue Sox fans

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4 years ago

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Every week, a car dealer ship sells at least 5 minivans. Write an inequality that represents this situation. Let c represent the

kvv77 [185]

Answer:

we conclude that an inequality 'c ≥ 5' denotes this situation.

Step-by-step explanation:

Given

A car dealer ship sells at least 5 minivans

When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.

For instance,

'm≥n' means 'm' is greater than or equal to 'n'.

It means 'm' is at least equal to 'n'.

Coming back to the question,

Let 'c' represent the number of minivans sold each week.

As the car dealer ship sells at least 5 minivans. so the

inequality will be: c ≥ 5

Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.

8 0

3 years ago

A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 13 ft. What is the volume of the

stepan [7]

28 ft bruh Hope Im not too late

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3 years ago

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Lesson Application Problem 521

noname [10]

Answer:

1st to 4th: Sam, Cras, Randy, Charte

Step-by-step explanation:

The places are determined by putting the times in increasing order.

time, place, name

25.85, 1st place, Sam

25.90, 2nd place, Cras

32.20, 3rd place, Randy

32.28, 4th place, Charte

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Additional comment

Sometimes it is easier to compare values when they all have the same number of decimal places.

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3 years ago

4. Write these fractions in the simplest form. 6_9​

4. Write these fractions in the simplest form. 6_9