Answer:
400 gumballs are in the gumball machine
Step-by-step explanation:
75% = 300 gumballs
Find 1%:
1% = 300 ÷ 75 = 4 gumballs
Find 100%:
100% = 4 x 100 = 400 gumballs.
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Area of the polygon defined by the given points is 62.5 sq units
Step-by-step explanation:
Step 1 :
Let P be the point (-5,0) Q = (0,-5), R = (-15,-20) and S = (20,-15)
We have to to find the area of the polygon PQRS
Step 2 :
The area of polygon given the vertices (x
is given by
Area = mod (
) ÷ 2
Where
is the vertex n's x coordinate ,
is the vertex n's y coordinate
Substituting the corresponding values ,
Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75) ) ÷ 2
= mod (25-75+0-75) ÷ 2
= mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units
Step 3 :
Answer :
Area of the polygon defined by the given points is 62.5 sq units
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx
where
k is the constant of proportionality
Verify each table
table a
Let
x ----> distance
y ----> sound level
For each ordered pair calculate the value of k
k=y/x
so
(5,85) -----> k=85/5=17
(10,79) ----> k=79/10=7.9
the values of k are differents
that means
the table nor represent a proportional relationship
table b
let
x ----> volume
y ----> cost
k=y/x
(16,1.49) ----> k=1.49/16=0.093125
(20,1.59) ----> k=1.59/20=0.0795
the values of k are differents
that means
the table nor represent a proportional relationship
Answer: 600
<u>Step-by-step explanation:</u>
20 x 30
= 2 x 10 x 3 x 10
= 2 x 3 x 10 x 10
= 6 x 100
= 600
Answer: 4.500
Step-by-step explanation:
4x - 18 = 2 • (2x - 9)
2 = 0
2x-9 = 0
2x = 9
x = 9/2 = 4.500