Answer:
The rectangular prism with these dimensions w = 3 cm, l = 5 cm, h = 5 cm has the largest volume.
Step-by-step explanation:
The formula for the Volume of a V = 3 * 5 * 5
V = l * w * h
V = 3 * 5 * 5
V = 75 cm³
The rectangular prism with these dimensions w = 3 cm, l = 5 cm, h = 5 cm has the largest volume.
7^3 = 343
7×7=48
7×7×7=343
Let's solve your system by substitution.
3x−2y=−12;4x+5y=7
Step: Solve3x−2y=−12for x:
3x−2y=−12
3x−2y+2y=−12+2y(Add 2y to both sides)
<u>3x</u>= <u>2y−12
</u>
3 3
=
<u>2y−12
</u>
3
(Divide both sides by 3)
x=
<u>2
</u>
3 y−4
Step: Substitute
<u>2
</u>
3
y−4 for x in 4x+5y=7:
4x+5y=7
4(
2/3 y−4)+5y=7
<u>23
</u>
3
y−16=7(Simplify both sides of the equation)
<u>23</u>
3
y−16+16=7+16(Add 16 to both sides)
<u>23</u>
3
y=23
<u>23</u>
3 y
<u>23
</u>
3 = 23<u>
</u>
<u>23
</u>
3
(Divide both sides by 23/3)
y=3
Step: Substitute 3 for y in x=
<u> 2 </u>
3
y−4:
x=
<u> 2 </u>
3
y−4
x= <u> 2 </u>
3
(3)−4
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=3 (underlined and / are fractions or division)
Answer:55 units
Step-by-step explanation:
4x-9=2x+15
2x=24
X=12
12+17+26=55 units
Density and temperature and number of moles of gas