Answer:
$0.4933
Step-by-step explanation:
i guess
Just divided by 3 ;)
Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
Answer:
option A
12m/s
Step-by-step explanation:
Given in the question,
mass of object = 11kg
kinetic energy possess by = 792 joules
To find the velocity we use formula
v =
Plug values in the formula
v =
v =
v =
v= 12 m/s
ANSWER
EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,
and
are alternating angles.
Alternate angles are congruent.
This implies that,
We group like terms to obtain,
This simplifies to,
Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,
We group like terms to get,
This simplifies to,
We divide both side by 4 to get,
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft