Answer:
Adam
Step-by-step explanation:
Speed is calculated with the formula distance over time.
Convert all measurements to the same unit: ft/s.
<u>Speed of Frank:</u>
d/t
=11/s
<u>Speed of Emily:</u>
d/t
=86/10
=8.6/s
<u>Speed of Adam: </u>
There are 5280 feet in a mile.
d/t
=5280/388
=13.6/s
<u>Speed of Noah:</u>
There are 60 seconds in a minute.
d/t
=600/60
=10/s
Adam runs the fastest because 13.6 > 11 > 10 > 8.6.
Answer:
Step-by-step explanation:
180 = 7x +2 + 7x + 2 + 180 - (17x -23)
180 = 14x +4 + 180 -17x +23
180 = -3x +207
3x = 27
x = 9
Answer:
DEF = 103
Step-by-step explanation:
brainlyist pls
The solution of the system of equations that is given is (2,-1).
Given a system of equations are 5x+y=9 and 3x+2y=4.
A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.
The given equations are
5x+y=9 ......(1)
3x+2y=4 ......(2)
Here, the substitution method is used to solve the system of equations.
Find the value of y from equation (1) by subtracting 5x from both sides.
5x+y-5x=9-5x
y=9-5x
To find the value of x substitute the value of y in equation (2).
3x+2(9-5x)=4
Apply the distributive property a(b+c)=ab+ac as
3x+2×9-2×5x=4
3x+18-10x=4
Combine the like terms on the left side as
-7x+18=4
Subtract 18 from both sides and get
-7x+18-18=4-18
-7x=-14
Divide both sides by -7 and get
(-7x)÷(-7)=(-14)÷(-7)
x=2
Substitute the value of x in equation (1) and get
5(2)+y=9
10+y=9
Subtract 10 from both sides
10+y-10=9-10
y=-1
Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).
Learn more about system of equations from here brainly.com/question/13729904
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Answer:
$52
Step-by-step explanation:
Given that :
Amount charged for shipping and handling = 4.5%
Let cost of order = x
Total amount charged = 54.34
However,
total. Amount charged = (total cost + handling and shipping)
54.34 = x + 0.045x
54.34 = 1.045x
Order total before shipping = 54.34 / 1.045
Order total before shipping = 52