Answer:
204 ft^2
Step-by-step explanation:
<u>triangle on the left</u>:
A= l x w x 1/2
A = 12 x 5 x 1/2
A = 30 ft^2
<u>triangle on the right</u>:
Same thing
A = 30 ft^2
<u>square in the middle</u>:
A = l x w
A = 12 x 12
A = 144 ft^2
<u>Add them up</u>:
30 + 30 + 144 = 204 ft^2
Answer:
Step-by-step explanation:
We can write them both like functions like this
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
we replace with the functions
we solve for x
The output that makes the out put of A 3 times teh output of B is
Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of
are
and
, respectively.
Plugging these values into the first inequality,
, gives us
, which simplifies to
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality,
, gives us
, which simplifies to
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore,
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!
Answer:

Step-by-step explanation:
<u>Fractions</u>
They can be expressed as proper fractions, improper fractions or mixed numbers. Proper fractions are such that the numerator is less than the denominator, like 2/5, 7/11, -9/10. Improper fractions are those whose numerators are greater than the denominator, such as 5/3, 10/9, -21/8.
Mixed numbers are expressions made of whole numbers and a proper fraction, like 4 3/5, 1 1/2, -5 4/9. Mixed numbers can be transformed to improper fractions and vice-versa.
The question requires us to find the average change in field position on each run of the running back for the Bulldogs football team which carried the ball 5 times for a total loss of 11 1/4 yards.
The number 11 1/4 is mixed, to express it as an improper fraction, we add the numbers like

This improper fraction will now be divided by 5 to find the average of 5 runs:

We now need to separate the improper fraction to a mixed number, let's just divide 9 by 4 to get 2 as the quotient and 1 for the remainder, thus
Answer:
$24.45
Step-by-step explanation:
6.65 + 4 + 7.15 + 6.65 = 24.45