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Elina [12.6K]
3 years ago
11

Give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132​

Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

LCM,

(Least common multiple)

100 and 132 is 3300

The GCF

(Greatest common factor)

100 and 132 is 4

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The function f(x) = -0.25x + 5 models the height of a candle x seconds after it is lit. Explain the
lbvjy [14]

Answer:

The y-intercept is the height of the candle before it was lit

Step-by-step explanation:

The y-intercept is at 0 on the x-axis meaning that not time has passed, so the candle is at its original height

4 0
3 years ago
What are the solutions of the equation x4+3x2+2=0? use u substitution to solve
sweet [91]

Answer: x = ± i , x = ±√2i are solution .

Step-by-step explanation:

Given : x^{4} +3x^{2} +2=0, use u substitution to solve.

To find : what are the solutions of the equation .

Solution : We have given that x^{4} +3x^{2} +2=0.

Let consider x^{2} = u .

Substitute u =  x^{2} in given equation .

u^{2} + 3u +2=0.

On factoring

u^{2} + 2u+1u +2=0.

Taking common

u( u+2) +1 (u+2) = 0.

On grouping

(u+1) (u+2) =0

Now, u+1 = 0 ⇒ u = -1.

         u+2 = 0 ⇒ u = -2.

In term of x, plugging x^{2} = u.

x^{2} = -1   ;  x^{2} = -2.

taking square root both side

x = ± i

x = ±√2i.

Therefore, x = ± i , x = ±√2i are solution .

8 0
3 years ago
Sarah went to the movies.After the movies , she wanted to ride the bus home.The b6 and the b9 buses both stop at the movies outs
erastova [34]

The next time the buses will leave together is at 3:36 p.m.

<h3>What is the least common multiple?</h3>

A least common multiple is the smallest number divisible by two or more numbers. This concept is important for this question because the least common multiple shows how often do both buses leave at the same time.

<h3>How to find the least common multiple?</h3>

1. List the multiples of each number.

  • B 9 = 12 minutes                           B6= 9 minutes
  • 12 x 1 = 12                                      9 x 1 = 9
  • 12 x 2 = 24                                    9 x 2 = 18
  • 12 x 3 = 36                                    9 x 3 = 27
  • 12 x 4 = 48                                    9 x4 = 36

2. Identify the common number.

If you check carefully, the common number is 36, this means every 36 minutes the two buses leave at the same time.

<h3>What is the next time both of the buses will leave together?</h3>

The next time will be at 3:36 p.m. Let's check this answer.

B9

  • 3: 00 p.m.
  • 3: 12 p.m.
  • 3: 24 p.m.
  • 3: 36 p.m.

B6

  • 3: 00 p.m.
  • 3: 09 p.m.
  • 3: 18 p.m.
  • 3: 27 p.m.
  • 3: 36 p.m.

Note: This question is incomplete because some of the information about the buses is not given; here is the missing section.

-A B9 and B6 bus both left the movies at 3 pm.

-B9 buses are scheduled to leave the movies every 12 minutes.

- B6 buses are scheduled to leave the movies every 9 minutes.

If the buses ran on schedule, what is the next time both of the buses will leave together?

Learn more about least common multiple in: brainly.com/question/13696879

6 0
2 years ago
Please answer the picture
SSSSS [86.1K]

Answer:

a

Step-by-step explanation:

5q +5q= 10q

8 0
3 years ago
Read 2 more answers
Sam drove 6 1/2 hours on Saturday and 8 2/3 hours on Sunday. How much longer was his drive on Sunday than on Saturday?
Schach [20]
Based on the phrase "how much longer" this is going to be a subtraction problem
8 2/3 - 6 1/2
Steps:
1. Find the least common denominator. Both 3 and 2 have a multiple of 6
2. Multiply 2/3 by 2 (numerator and denominator) and 1/2 by 3 to get an overall denominator of 6
8 4/6 - 6 3/6
3. Now you can do basic subtraction. Subtract the whole numbers
           8-6= 2
 4. subtract the numerators
        4-3=1
Answer is 2 1/6
5 0
3 years ago
Read 2 more answers
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