Answer:
Step-by-step explanation:
The distances they jumped were
x,y,z
y=x+2
z=x+2+2=x+4
x+y+z=12.69
x+x+2+x+4=12.69
3x+6=12.69
3x=6.69
x=2.23
So Jack jumped 2.23m, Alex jumped 4.23m, and Amir jumped 6.23m.
To find the number of divisors, including 1 and m, add 1 to the exponent of each of the prime factors and multiply those sums together.
.. number of divisors = (2 +1)*(1 +1)*(3 +1) = 3*2*4 = 24
When you exclude 1 and m, you have 22 divisors remaining.
Selection D is appropriate.
Answer:
15 gallons
Step-by-step explanation:
So the easiest way to solve this one is basic reasoning. It's easy to find 3/4 of a number if you know what 1/4 is.
20/4 = 5, or 1/4 of 20 = 5
3/4 is 3 times as much as 1/4, so 5(3)=15
Or, you can solve using a proportion
3 x
_ = _
4 20
(those are fractions)
Cross multipy
3 (20) = 4x
60 = 4x
Divide both sides by 4 to isolate the variable
15 = x
The final way to solve this is by converting the decimal to a fraction. 3/4 = 0.75
20 x 0.75 = 15
Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is , the slope is of , and the function is:
For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is , the slope is of , and the function is:
The plans cost the same for x minutes of calling, considering that:
The two plans cost the same for 5000 minutes of calling.
To learn more about linear functions, you can take a look at brainly.com/question/24808124
Answer:
3
Step-by-step explanation:
私は怠惰なのでグーグルで調べました