Answer:
Step-by-step explanation:
odd numbers are 1,3,5,7
number of odd cards=4
Total number of cards=8
Number of cards less than 4=3 {1,2,3}

Paul: 140 + 12x
Jacklyn: 56 + 16x
Where x is how many practice sessions he had this season
"After how many more practices will Paul and Jacklyn have completed the same number of laps?"
This means what will x be if both equations are equal to each other
140 + 12x = 56 + 16x
Isolate x in one side by subtracting both sides by 12x
140 + 12x - 12x = 56 + 16x - 12x
140 = 56 + 4x
Subtract both sides by 56 to shift the 56 from the right side to the left side
140 - 56 = 56 - 56 + 4x
84 = 4x
Divide both sides by 4 to isolate x
84/4 = 4/4x
21 = x
x = 21
They'll have completed the same number of laps after 21 practices
Hope it helps :)
Branliest would be appreciated
For the answer to the question above, this is a right triangle problem using the tangent function.
<span>Tan(x) = Opposite (O) / Adjacent (A) </span>
<span>x = 40 degrees </span>
<span>A = 30 ft </span>
<span>Solve for O </span>
<span>O= Tan (x) * A </span>
<span>O = Tan (40) * 30 </span>
<span>Use your calculator or whatever method to get the tangent of 40 degrees (which is .84) </span>
<span>O = .84 * 30 </span>
<span>O = 25.2 Ft</span>
Answer:
The equation is equal to

Step-by-step explanation:
Let
x -----> the number
we know that
The equation that represented the problem is equal to


Solve the quadratic equation by graphing
The solution are x=-2 and x=4
see the attached figure
therefore
The number can be -2 or 4
Answer:
the answer should be 1
Step-by-step explanation:
4[(-3+z)2-2(-3+z)]+1
4(-6+2z+6-2z)+1
-24+8z+24-8z+1
the 24's and 8's cancel out leaving 1