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hram777 [196]
3 years ago
12

Please answer for both.And please explain how you got the answer so I can understand

Mathematics
1 answer:
ipn [44]3 years ago
8 0
Multiples : these are what we get after multiplying a number by an integer (not a decimal or fraction)
Example : 6 * 1 = 6......6 * 2 = 12.....6 * 3 = 18......so 6,12, and 18 are multiples of 6.

factors : these are what we multiply by to get a number
Example : 1 * 6 = 6.....so 1 and 6 are factors of 6....2 * 3 = 6 ...so 2 and 3 are also factors of 6
==============================
problem 1 : Look at ur clues...each number is less then or equal to 12....this right here eliminates D because of the 15. The greatest common factor of the 2 numbers is 2....and this eliminates B because if it has a factor of 2, it has to be an even number. So that leaves us with :
A. 6 and 10
C. 10 and 12
last clue....they have a least common multiple of 60...this means that ur 2 numbers cant have any other common multiples until 60.
6 * 10......both are multiples of 60...however, they are also both multiples of 30...so 60 is not the least common multiple of 6 and 10, it is 30.
Therefore, ur answer is C. 10 and 12....with the LCM of 60, LCF of 2 and < or = to 12
===================
problem 2 : GCF (greatest common factor) of 42 and 84

factors of 42 : 1,2,3,6,7,14,21,42
factors of 84 : 1,2,3,4,6,7,12,14,21,28,42,84

therefore, the GCF of these 2 numbers is 42

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Which is bigger0.9 or 19/20
Mazyrski [523]
19/20

19/20 = 0.95

0.9 < 0.95
7 0
3 years ago
Express the interval using inequality notation.<br> (-♾,-11) U (7,♾)
gulaghasi [49]

The chosen topic is not meant for use with this type of problem. Try the examples below.

[-1,9)u(2,10]

(−1,2)∪(−4,0)

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4 0
3 years ago
There are 4 grams of sugar in 1⁄2 of a liter of a new sports drink. How much sugar is in 3⁄4 of a liter of the sports drink?
Ira Lisetskai [31]
The correct answer is 6 grams of sugar

Hope this helped :)
4 0
3 years ago
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are goi
AURORKA [14]

Answer:

<h2>He is going to pay 40*900= $36000 for the reservation</h2>

Step-by-step explanation:

Step one:

We are told that they need at least 50 total rooms.

Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.

There is a deficit of 50-16= 34rooms

Required

The Number of blocks Joe need to reserve in addition is 34/8

=4.25

The blocks can not be in decimal, so we need to approximate, which is 5 blocks

Therefore Joe is going to reserve 5*8= 40 rooms

<u>He is going to pay 40*900= $36000 for the reservation</u>

4 0
2 years ago
A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and
OLEGan [10]

Answer:

5.77\ \text{m}

11.54\ \text{m}

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

\theta = Angle between the rope and the ground = 30^{\circ}

\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}

The length of the rope is 5.77\ \text{m}

\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}

The length of the pole is 11.54\ \text{m}

3 0
3 years ago
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