Answer:
6 miles
Step-by-step explanation:
Let the route length be r. The distance the cyclist has already covered is then (5/7)r + 40. This plus 0.75r - 118 must = r, the length of the entire route.
Then:
(5/7)r + 40 + (3/4)r - 118 = r
The LCD of the fractions 5/7 and 3/4 is 28. We thus have:
(20/28)r + 40 + (21/28)r - 118 = r, or
(41/28)r - 78 = (28/28)r
Combining the r terms, we get 13r = 78, and so r = 78/13 = 6.
The cyclist's bike route is 6 miles long.
Answer:
Length = 22 cm
Width = 4 cm
Step-by-step explanation:
Area = 88 cm²
Length = x + 7
Width = x - 11
Area of rectangle = length*width
Therefore:
(x + 7)(x - 11) = 88
x(x - 11) +7(x - 11) = 88
x² - 11x + 7x - 77 = 88
Add like terms
x² - 4x - 77 = 88
x² - 4x - 77 - 88 = 88 - 88
x² - 4x - 165 = 0
Factorize
x² - 15x + 11x - 165 = 0
x(x - 15) +11(x - 15) = 0
(x + 11)(x - 15) = 0
x = -11 or x = 15
Let's use the positive number.
Therefore:
Length = x + 7
Plug in the value of x
Length = 15 + 7 = 22 cm
Width = x - 11 = 15 - 11 = 4 cm
Answer:
C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.
Step-by-step explanation:
Correct on TTM
So the factors are
79=2*5*7
100=2*2*5*5
2*5 is common to both so that is the greatest common factor (10)
10 is the answer
Answer:
Option B
Step-by-step explanation:
From the figure attached,
Circle D is drawn with the radius = DG or DE
A tangent FG has been drawn at a point G on the circle from an external point F.
By theorem,
Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.
Therefore, DG ⊥ FG.
Option B will be the correct option.
