Answer:
x ≈ 4.5
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = ← k is the constant of variation
Here k = 76 and y = 17 , thus
17 = ( multiply both sides by x )
17x = 76 ( divide both sides by 17 )
x ≈ 4.5 ( to the nearest tenth )
Answer:
<u>It takes them 30/11 hours to paint them together.</u>
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
Therefore, the time it takes them to paint the fence together is <u>30/11 Hours</u>
Answer:
a=54
Step-by-step explanation:
a/9 = 6
(mutliply both sides by 9)
9(a/9) = 6(9)
a = 54
One side of triangle is given equilateral triangle which means all the angles of the triangle is 60°
so we have angles of bigger triangle:-
- 60°
- 60+35= 95°
- x( to find )
<h3>Use angle sum property </h3>
( sum of all interior angles is 180°)
Answer:
Jack is 88, Priscilla is 75.
Step-by-step explanation:
Let J represent Jack's age and let P represent Priscilla's age.
Their age totaled 163, so:
And we know that Jack was 13 years older than Priscilla. In other words:
Solve for J and P. To do so, substitute the second equation into the first:
Combine like terms:
Subtract 13 from both sides:
Divide 2 from both sides:
So, Priscilla is 75 years old right now.
Jack is 13 years older meaning that Jack is 88 years right now.
And we're done!