Answer:
9/12
Step-by-step explanation:
you can divide both numbers by 3 to make 3/4
Answer:
d. 2.4 in
Step-by-step explanation:
So initially w/o frame the area was 5 x 7 = 35 sq in.
Now we have to add the width of the frame to both dimensions.
(5+w)(7+w) = 69.56 sq in
35 + 7w + 5w + w² = 69.56
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)
w = 2.4
w = -14.4
Since we can't have a negative width, the answer must be <u>w = 2.4 inches.</u>
You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.
Answer:
4 weeks
Step-by-step explanation:
Company A charges $40 per week and a one time fee of $25
Company B charges $35 per week and a one time fee of $45
Therefore the number of weeks required for both companies to arrive at the same cost can be calculated as follows
Company A = 45 + 35×4
= 45 + 140
= 185
Company B = 25 + 40×4
= 25 + 160
= 185
Hence it will cost both companies 4 weeks

The Area of Shaded region is equal to the difference in Area of rectangle and Area of triangle .
let's solve for area of rectangle :



Now, Area of Triangle :



So, the area of the shaded region in terms of x :


And since, Area of Shaded region = 44 cm²
By equating the area, we get

Value of x = 2

Answer:
5/8
Step-by-step explanation:
There are 8 intervals, the tack ends at the 5th interval, so 5/8