"A construction company is stringing up signs ... "
Divide 4 miles by 1/8 mile:
4 miles
--------------------------- = 32 signs are needed
(1/8) mile per sign
Answer:
8 bags of pretzels
Step-by-step explanation:
Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...
1.50x + 2.00(12-x) = 20.00
-0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms
-0.50x = -4.00 . . . . . . . . . . .subtract 24
x = 8 . . . . . . . . . . divide by -0.50
Tim will buy 8 bags of pretzels.
Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 +
b = 540 ← simplify left side
b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b =
× 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
1.)subtract 600 from 750 in order to simplify
2.)divide by 15 on both sides to get y alone. Doing this cancels the 15 on the y and makes the right side equal 10
3.)y=10
Answer:

Step-by-step explanation:
To preface, your figure is going to be a line segment, with
as your midpoint, in between points
& 
With that being said:

Identify your values:

Substitute the values into the first equation:

Combine like terms:

Subtract
from both sides of the equation:

Divide by the coefficient of
, which is
:

Substitute
for
in segments
&
:




Solve:


Check your answers by substituting:

