Hey there! I'm happy to help!
We see that Jack has already run 25 miles.
25
He also wants to run 2.5 miles every day. This means we will multiply 2.5 miles by the number of days he runs. We will call the number of days x.
25+2.5x
And he needs this to equal 275.
25+2.5=275
We subtract 25 from both sides.
2.5x=250
We divide both sides by 2.5
x=100
So, Jack will need to run 100 days to meet his goal.
Have a wonderful day and keep on learning! :D
Answer:
- z for 184 = -2.2
- P(z < -2.2) ≈ 1.4%
- z for 200 = -0.6
- P(z < -0.6) ≈ 27.4%
- P(184 < x < 200) ≈ 26.0%
Step-by-step explanation:
Z is computed from ...
... z = (x -μ)/σ
Our lower limit for x is 184, so its z-value is ...
... z = (184 -206)/10 = -22/10 = -2.2
Our upper limit for x is 200, so its z-value is ...
... z = (200 -206)/10 = -6/10 = -0.6
A suitable table or probability calculator can tell you ...
... the percent of area associated with z = -2.2 is about 1.4%. That is, about 1.4% of all values lie below z = -2.2.
... the percent of area associated with z = -0.6 is about 27.4%.
The fraction of expenses between $184 and $200 is then calculated to be ...
... 27.4% - 1.4% = 26.0%
Answer:
70 people
Step-by-step explanation:
It literaly says it in the question.
Answer:
and 
Step-by-step explanation:
The LCM of 35 and 10 is 70.
35×2=70
10×7=70
You got to multiply 3 with 2 and 1 with 7 to make 6/70 and 7/70.
Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,



Now we have to move 4x to the left side by subtracting 4x from both sides.



To get x, we will divide both sides by 17. We will get,


So the smaller number = 
The larger number =
= 
So we have got the required numbers.
Smaller number =
and larger number =
.