Answer:
John's number is 1500
Step-by-step explanation:
* Lets explain how to solve the problem
- Factors of a number are the numbers you multiply to get the number
- Ex: Factors of 12 are 1 × 12 , 2 × 6 , 3 × 4
- The factors of a number smaller than or equal the number
- Multiple of a number is that number multiplied by an integer
- Ex: 2, 4, 6, 8, and 10 are multiples of 2
- The multiples of a number greater than or equal the number
* Lets solve the number
- John is thinking of a number
- He gives the following 3 clues
# The number has 125 as a factor
# The number is a multiple of 30
# The number is between 800 and 2000
∵ 125 is a factor of the number
- Assume that the number is 125 (its factors 1 , 5 , 25 , 125)
∵ The number is a multiple of 30
- Assume the number is 30 (the first multiple of 30)
- To solve the problem lets find the lowest common multiple of 125
and 30 by using prime numbers only
∵ The prime factors of 125 = 5 × 5 × 5
∵ The prime factors of 30 = 2 × 3 × 5
- L.C.M of the two numbers is the product of their prime factors
without reputation
∴ L.C.M = 5 × 5 × 5 × 2 × 3 = 750
∵ 750 has 125 as a factor
∵ 750 is a multiple of 30
- But 750 is not between 800 and 2000
∴ Find a multiple of 750 and between 800 and 2000
∵ 2 × 750 = 1500
* lets check the three clues
∵ 1500 has 125 as a factor
∵ 1500 is a multiple of 30
∵ 1500 is between 800 and 2000
∴ John's number is 1500
slope = -3/7 what is the equation?
Answer:
y = -(3/7)x + 2
Step-by-step explanation:
(see attached)
recall that the slope-intercept form of a linear equation is
y = mx + b
where m = slope = given as -(3/7)
and b = y-intercept = 2
substituting these values into the eqation:
y = mx + b
y = -(3/7)x + 2
45 1/2% is equivalent to 91/200 as a fraction in simplest form.
To convert a percent to a fraction, we write the value of the percent as a fraction with a denominator of 100. In this case, 45 1/2% can be written as 45 1/2/100. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2. Simplifying the fraction gives us the answer: 91/200.
#SPJ11
Answer:
Step-by-step explanation:
The opposite of a number is its additive inverse, which means it's the number that, when added to the original number, results in zero. On a number line, the opposite of a number is located symmetrically on the other side of zero.
For the first part of your question:
The opposite of -3 5/8 is 3 5/8, and it is on the same side of zero on a number line as -3 5/8.
For the second part of your question:
The opposite of 4 2/9 is -4 2/9, and it is on the same side of zero on a number line as 4 2/9.
So, in both cases, the opposites are on the same side of zero as the original numbers.