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2 years ago

I thought of the number that is between 104 and 140. The number is divisible by 6 and 15. What is my number?

Mathematics

1 answer:

Katena32 [7]2 years ago

7 0

Answer:

120

Step-by-step explanation:

Lets find the numbers multiples of 6 that are in the range from 104-140:

108, 114, 120, 126, 132, 138

Now out of these lets find which is divisible by 15

$\frac{108}{15}=7.2\\\\\frac{114}{15}=7.6\\\\\frac{120}{15}=8\\\\\frac{126}{15}=8.4\\\\\frac{132}{15}=8.8\\\\\frac{138}{15}=9.2$

120 Is the only solution in this set which is also equally divisible by 15, making it the answer.

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Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE

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Answer:

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Step-by-step explanation:

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3 years ago

Find the solution for this system of equations.<br><br> 2x + 4y = 8<br> x = 3y − 6

natima [27]

Answer:

${ \tt{2x + 4y = 8 - - - (a)}} \\ { \tt{x = 3y - 6 - - - (b)}}$

Substitute for x in equation (a) :

${ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2$

Substitute for y in equation (b) :

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6 0

3 years ago

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Look at the pattern below.

Paladinen [302]

There will be 36 squares in the 8th step of the pattern

<h3>How to determine the number of squares?</h3>

The pattern and the squares are represented as:

<u>Pattern Squares</u>

1 1

2 3

3 6

4 10

This can be rewritten as:

<u>Pattern Squares</u>

1 1

2 1 + 2

3 1 + 2 +3

4 1 + 2 + 3 +4

So, the number of squares on the 8th pattern is:

8th pattern = 1 + 2 + 3 +4 + 5 + 6 + 7 + 8

Evaluate

8th pattern = 36

Hence, there will be 36 squares in the 8th step

Read more about patterns at:

brainly.com/question/7882626

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3 0

2 years ago

A juice shop needed 360 oranges to make 40 L of fresh-squeezed juice.

trasher [3.6K]

Answer:

Using direct proportion

40L was made from 360 oranges

1 L will have been made from (360/40) oranges = 9 oranges

60L will then be made from : 60 * 9 oranges = 540 oranges.

Step-by-step explanation:

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3 years ago

Is 6/8 in simplest form

KengaRu [80]

6/8 in simplest form:

First, we need to find the GCF of the numerator (6) and the denominator (8). Doing so, it will help us divide the number to get the correct answer. Let's start out by listing the factors of both of the numbers.

Factors of 6: 1, 2, 3, 6
Factors of 8: 1, 2, 4, 8

Now that we have the factors listed for both the numerator and the denominator, which number appears in both of the listed factors? The common numbers are 1 and 2, and 2 is the greatest common factor (GCF) since it is the biggest number out of 1 and 2.

Second, now we can divide the numerator and denominator by the GCF (2) that we just found. It will help us find the new numerator and denominator for the simplified fraction.
$6 \div 2 = 3 \\ 8 \div 2 = 4$

Third, our last step is putting together our new simplified fraction. To do this, simply take the numbers we got from dividing above and put them as the new numerator and denominator. You should get: $\frac{3}{4}$

Answer in fraction form: $\fbox {3/4}$
Answer in decimal form: $\fbox {0.75}$

7 0

3 years ago

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