Answer:
10.8 gallons
Step-by-step explanation:
First change everything to inches:
2.75 ft = 33 in
1.5 ft = 18 in
Volume of tank = lwh = (33)(18)(7) = 4158 in³
The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³
Now find out how much 2494.8 in³ is in gallons:
231 in³ = 1 gallon
1 in³ = 1/231 gallons
2494.8 = (1/231)(2494.8) gallons = 10.8 gallons
The fourth one since it will pass the vertical test.
Answer:
15
Step-by-step explanation:
For these kind of problems, its best to use a Venn Diagram.
Lets break down the information:
<em>There are 50 students total.</em>
<em>25 take Math competiton classes.</em>
<em>29 take Geometry</em>
<em>12 take history and </em><em><u>no math classes</u></em>
<em>19 take </em><em><u>both math classes</u></em>
Now, make a Venn Diagram.
[Look at the photo attached. Also, the blank spaces in the Venn Diagram are ones that no student takes.]
The 12 taking history and no math classes and 3 kids not taking any of those classes look like they're the only ones not taking either math class.
12 + 3 = 15.
So the answer is 15.
[I'm not sure if this is correct or if I made a mistake so please let me know! Thank you! I hope this helps!]
:)
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
Given
Using the point-slope form

where
- m is the slope of the line
In our case:
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form



Subtract 3 from both sides



comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line

at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.