No, She is not correct.
Step-by-step explanation:
To find the greatest common factor of the expression 20x + 100xy.
Given expression 20x + 100xy.
Let us factor the expression 20x + 100xy.
Now take the common factor in the expression 20x + 100xy.
The common factor is 20x.
So, 20x + 100xy = 20x( 1+ 5y)
But Claudia says that the greatest common factor is 20(x+5xy).
The GCF is wrong.
So, she is not correct.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:
Solving the algebraic expression
solving the equation for 'n'
Add 7 to both sides
Simplify
Divide both sides by 2
Simplify
Answer:
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Step-by-step explanation:
Let x represent the speed of the side walk and y represent her walking speed
It takes Jason's 8-year-old daughter Josie 44 sec to travel 176 ft walking with the sidewalk
Distance = speed × time
176 = (x+y)×44
44x+44y = 176
x+y = 4 .......1
It takes her 7 sec to walk 21 ft against the moving sidewalk in the opposite direction).
21 = (y-x)7
7y - 7x = 21
y - x = 3 ......2
Add equation 1 to 2
2y = 7
y = 3.5 ft/sec
From equation 1
x + y = 4
x = 4 - 3.5 = 0.5
x = 0.5 ft/sec
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Answer:
≈ 0.2526
Step-by-step explanation:
<u>The number of combinations of 4 out of 8:</u>
- 8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70
<u>Success factor is: </u>
<u>and failure factor is: </u>
<u>Probability:</u>
The perimeter is 24 inches squared
