Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
let eqn be y - y1 = m(x - x1)
m = (9 - 1)/(-3 - (-7))
m = 2
sub (-7, 1):
y - 1 = 2(x + 7)
therefore, the equation is y - 1 = 2(x + 7)
Topic: coordinate geometry
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Plato answer is 13863
B f(x) = 1500(115)x
C f(x) = 1500(2.15)x
D f(x) = 1500(215)x
Answer:
Option (c) is correct.
function representing the increase of bacteria every hour x,
Step-by-step explanation:
Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.
we have to find the function that represents the given scenario.
Let x represents the number of hours elapsed.
Given A colony contains 1500 bacteria
and number of bacteria is increasing at a rate of 115% each hour.
Using formula for Compound interest , we have,
Where A is amount
T is time period
R is rate of interest
Here, P = 1500
T = x hours
R = 115%
Let f(x) be the function representing the increase of bacteria every hour.
Substitute, we have,
Simplify, we get,
Thus, function representing the increase of bacteria every hour x,
Answer:
Half
Step-by-step explanation:
Any time that you see .5 it means it is half. EX. 2.5 means 2 and a half!
Which expression can be used to determine the greatest possible volume of the cardboard box?
A) (x−7)(x−11)x
B) (7−2x)(11−2x)x
C) (11−7x)(11x−7)
D) (7x−11)(7−11x)
Answer:
Option B
Step-by-step explanation:
Given is a rectangle with width 7 and length 11.
From each corner of the rectangle a square of length x is cut and foled to make a box
Now for the open box we made, height = x
width = rectangle width - 2 times d
= 11-2x
Length = rectangle length-2x
Hence volume of box
=lwh
= (7-2x)(11-2x)x
Answer: B)
Step-by-step explanation:
Given: The length of the cardboard = 11 in.
The width of the cardboard =7 in.
If a box is created without a top from a piece of cardboard, but cutting out square corners with side length x, then the dimensions of box will be:-
Width (w)=
length (l)=
Height (h)=
Now, volume of rectangular box is given by :-
Hence, the expression can be used to determine the greatest possible volume of the cardboard box is given by :-