Answer:
6
Step-by-step explanation:
Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.
18 ÷ 12 = 1 r 6
12 ÷ 6 = 2 r 0 . . . . the GCF is 6
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You can also factor the numbers and see what the common factors are.
18 = 2·3·3
12 = 2·2·3
The common factors are 2·3 = 6.
In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6
If you used $8, then you must add 8 to 32 which equals $40
Answer:
Step-by-step explanation:
The equations that she wrote are
6x+8y=133
2x=y
The following statements about the system are true
1.Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133
5. The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
The following statements are wrong because,
2. Because there was no relationship between the number of pipes sold and the size of each pipe.
3. x=2y shows that there are more 8 inches pipes
4. 6 and 8 are just size descriptions. It is only the cost of each size of pipe that related to the total cost
Answer: x = -1
Step-by-step explanation:
- 2x-3= - 4x+9
- 2x+4x = -9 + 3
- 6x = -9 + 3
- 6x/6 = -6/6
- x = -1
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
<h3>What is an Angle Bisector ?</h3>
The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2
= 3.46 cm from O
To know more about Angle Bisector
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