Answer:
C. 3x
Step-by-step explanation:
The first two choices give 1 solution each.
The last choice gives an infinite number of solutions.
Choice C. gives no solution.
3x + 9 = 3x
Subtract 3x from both sides.
9 = 0
Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.
Step-by-step explanation:
To evaluate the expression shown:
we begin by evaluating the numerator:
0.6+2.4(3-0.7×5/7)-7÷3 1/2
re-writing in proper fractions we get:
0.6+2.4(3-0.7×5/7)-7÷7/2
working out the parenthesis we get:
0.6+2.4(3-0.5)-7÷7/2
simplifying the above we get:
0.6+2.4(2.5)-7×2/7
=0.6+6-2
=4.6
working out the denominator we obtain:
5 1/4×4-(5.9-2.7÷9/11)×2 1/2
rewriting in proper fraction we get:
21/4×4-(5.9-2.7÷9/11)×5/2
working out the parenthesis:
21/4×4-(5.9-2.7×11/9)×5/2
=21-(5.9-3.3)×5/2
simplifying gives us:
21-(2.6×5/2)
=21-6.5
=14.5
thus putting back the expression we get:
4.6/14.5
=46/145
Answer: 2,916 inches³
Step-by-step explanation:
The volume of a box is:
= Length * Width * Height
But all of these have to have the same units for it to work. This means that the height of the box will have to be converted to inches :
1 ft is 12 inches so:
= 1¹/₂ * 12
= 3/2 * 12
= 18 inches
Volume is therefore:
= 18 * 9 * 18
= 2,916 inches³
Answer: 3 million barrels
Step-by-step explanation:
Given :- Total crude oil= 60 million barrels
Quantity of gasoline = 34% of total crude oil
![=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}](https://tex.z-dn.net/?f=%3D0.34%5Ctimes60%5Ctext%7B%20million%20barrels%7D%5C%5C%3D20.4%5Ctext%7B%20million%20barrels%7D)
Quantity of diesel = 29% of total crude oil
![=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}](https://tex.z-dn.net/?f=%3D0.29%5Ctimes60%5Ctext%7B%20million%20barrels%7D%5C%5C%3D17.4%5Ctext%7B%20million%20barrels%7D)
Clearly, Quantity of gasoline is more than Quantity of diesel
difference = Quantity of gasoline-Quantity of diesel
![20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}](https://tex.z-dn.net/?f=20.4%5Ctext%7B%20million%20barrels%7D-17.4%5Ctext%7B%20million%20barrels%7D%5C%5C%3D3%5Ctext%7B%20million%20barrels%7D)
Therefore, The production of gasoline is 3 million barrels more than diesel last year.
Answer:
The other number is 20.
Step-by-step explanation:
![\frac{10 + x}{2} = 15](https://tex.z-dn.net/?f=%5Cfrac%7B10%20%2B%20x%7D%7B2%7D%20%3D%2015)
<em>Multiply each side by 2.</em>
![10 + x = 30](https://tex.z-dn.net/?f=10%20%2B%20x%20%3D%2030)
<em>Subtract 10 from each side.</em>
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
There you go!