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2 years ago

Explain how to find the LCM and GCF of a number.

2 answers:

8 0

To find either the Least Common Multiple (LCM) or Greatest Common Factor (GCF) of two numbers, you always start out the same way: you find the prime factorizations of the two numbers. Then you put the factors into a nice neat grid of rows and columns, and compare and contrast and take what you need.

yuradex [85]2 years ago

5 0

When you find the LCM you are looking for the least common multiple in numbers.
It doesn't matter how many number you have you list the multiples of each number and the number that is the same that comes first is your LCM. For example if you want to find the LCM 21 and 7 the LCM would be 21 because if you list the multiples (count by 20 and 7) 21 is common in both numbers.
When you are looking for the GCF (greatest common factor) you list the factors that go into the number in a list of numbers. The largest number that goes into the set of numbers is your GCF. If there is no number but one, your GCF is 1 for example 3 and 7. one and three both go into 3 and 1 and 7 go into 7 to the common number in both of them are 1. if you have the numbers let say 4 and 8, the number that go into 4 are 1, 2, and 4. The numbers that go into 8 are 1, 2, 4, and 8. As you can see the numbers 1, 2, and 4 are the common but the largest number that is common is 4.
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VMariaS [17]

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2 years ago

An amusement park charges admission plus a fee for each ride. Admission plus 2 rides costs $10. Admission plus five rides costs

LenaWriter [7]

Answer:

The charge for admission is $6 and the charge for each ride is $2

Step-by-step explanation:

Let

x ----> the charge for admission

y ----> the charge for each ride

we have that

$x+2y=10$ -----> equation A

$x+5y=16$ -----> equation B

Solve the system by elimination

Subtract equation B from equation A

$x+2y=10\\-(x+5y)=-16\\---------\\2y-5y=10-16\\-3y=-6\\y=2$

Find the value of x

substitute the value of y in any equation

$x+2(2)=10$

$x+4=10$

$x=10-4$

$x=6$

therefore

The charge for admission is $6 and the charge for each ride is $2

8 0

2 years ago

Which part of the graph best represents the solution set to the system of inequalities y<_ x+1 and y+x<_ -1

Pavel [41]

Hello!

Remember that the symbols: ≤ and ≥ are graphed as a solid line. While the symbols: < and > are graphed as a dotted line.

Also, before graphing, it would be better to convert both equations to slope-intercept form.

y ≤ x + 1 is already in slope-intercept form.

y + x ≤ -1 is not written in slope-intercept form. (Slope-intercept form: y = mx + b)

y + x ≤ - 1 (subtract x from both sides)

y ≤ -x - 1

Graphing those lines, you get the graph below. You can see that Part C best represents the solution set systems of inequalities, because that is where both of the shaded lines intersect.

Answer: Part C