Answer:
-9/14 so the answer is B
Step-by-step explanation:
Hope this helps
Answer:
J. 144
Step-by-step explanation:
Perimeter of equilateral triangle is P = 16 + 16 + 16 = 48
Perimeter of square is P = x + x + x + x = 4x
since 4x = 48 => x = 48/4 = 12
Area of square = 12 x 12 = 144
Answer:
just do 68986
- 64997
______
3,989
Answer:
not parallel
Step-by-step explanation:
while the lines have a different y-intercept they do not have the same slope which they would need to be parallel. With two different slopes the lines will eventually cross.
Answer:
To know if these lines are parallel, you just have to look at the slope. In this case they are not.
Step-by-step explanation:
The slope is the number in front of your x. So for the first formula the slope is 3 and for the second one it is 1/3. The slope tells you in which direction the line goes, so if they are the same, that means that the lines are parallel. In this case the slopes are not the same, so the lines are not parallel.
SHE ORDERED 63 MEDIUM SHIRTS
AND 27 LARGE SHIRTS, WHAT WAS
THE RATIO OF MEDIUM TO LARGE
SHIRTS?
ratio of medium shirts to large shirts
63/27
=7:3 [Ans]
Answer: The faster one needs 6 hours, the slower one needs 12 hours.
Step-by-step explanation:
Let's define Sa and Sb as the times that each worker needs to stuff the envelopes for a political fundraising letter.
Sa is the faster one
Sb is the slower one.
Let's define 1 as a complete task.
Then:
when they both work together, they need 4 hours:
(1/Sa + 1/Sb)*4h = 1.
The slower one needs 6 more hours than the faster one:
Sb = (Sa + 6h).
We can replace this in the first equation and get:
(1/Sa + 1/(Sa + 6h))*4h = 1.
let's solve this for Sa.
1/Sa + 1/(Sa + 6h) = 1/4h.
(Sa + 6h) + Sa = Sa*(Sa + 6h)/4h.
2*Sa + 6h = Sa^2/4h + Sa*(6/4)
Then we have a quadratic equation:
(1/4h)*Sa^2 - (2/4)*Sa - 6h = 0h
(0.25*1/h)*Sa^2 - 0.5*Sa - 6h = 0h
The solutions come from the Bhaskara equation:
Then we have two solutions:
Sa = ((0.5 + 2.5)/0.5 )h = 6h.
Sb = ( (0.5 - 2.5)/0.5) = -4h
The one that makes sense is the positive option (the negative one has no physical meaning in this situation)
Then the faster worker needs 6 hours to stuff all the envelopes.
And the slower one needs 6h + 6h = 12hours to stuff all the envelopes.
So when they work together, the combined rate is:
(1/6h + 1/12h) = (2/12h + 1/12h) = (3/12h) = (1/4h)
So working together they need 4 hours to stuff all the envelopes.