Answer:
A) 1/20
B) H = x/20
C) 9.5 in
Step-by-step explanation:
A) Slope is the ratio of rise to run, so is ...
slope = rise/run = (1 in)/(20 in)
slope = 1/20
__
B) The maximum height is 1/20 of the horizontal distance, so ...
H = (1/20)x
__
C) Using x=190 in the above formula, ...
H = (190 in)/20 = 9.5 in
The ramp will reach a height of 9.5 inches.
Option C
<u>ANSWER:
</u>
For the given equation slope is
so the correct option is c.
<u>SOLUTION:
</u>
Given, line equation is 
We need to find the slope of the given equation.
Above given equation is in the form of slope intercept form, i.e. y = mx + c
Where m is the slope and c is the intercept made on axis by this line.
By comparing the given equation and the general form, we can conclude that, m =
and c = -3
hence, for the given equation slope is
. so the correct option is c.
Answer: The height and width of the aquarium are 13 inches and 10 inches respectively .
Step-by-step explanation:
Given : The volume of aquarium = 2730 cubic inches
Length of aquarium = 21 inches
Let x be the width of the aquarium,
then Height = x+3
We consider the shape of aquarium as cuboid.
Volume of Cuboid = Length x width x Height
Put values in the above formula , we get

So , the width of aquarium =x= 10 inches ( width cannot be negative)
So height = 10+3=13 inches.
Hence, the height and width of the aquarium are 13 inches and 10 inches respectively .
Answer:
1 mile per hour
Step-by-step explanation:
Let j be Jenny's songs and d Diamond's songs
So we know that together they have 895, thus j+d=895
Jenny has 177 more songs, thus j=177+d
Solve these two equations to get the result.
d=895-177-d
2d=718
d=359
j=536