Answer:
4
Step-by-step explanation:
Step 1: Write equation
5x - 2(2x - 1) = 2(3x - 4)
Step 2: Solve for <em>x</em>
- Distribute: 5x - 4x + 2 = 6x - 8
- Combine like terms: x + 2 = 6x - 8
- Subtract x on both sides: 2 = 5x - 8
- Add 8 to both sides: 10 = 5x
- Divide both sides by 5: 2 = x
- Rewrite x = 2
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(2) - 2(2(2) - 1) = 2(3(2) - 4)
10 - 2(4 - 1) = 2(6 - 4)
10 - 2(3) = 2(2)
10 - 6 = 4
4 = 4
Here we see that x = 2 is indeed a solution
Step 4: Find 2x
2(2) = 4
To find the volume of a container, you simply multiply: L(ength) x B(ase) x H(eight).
In total, you should get a volume of 1078in^3 (the bigger container) plus 175in^3 (the smaller container on top of the bigger one). The answer is 1,253in^3.
Hope this helped! :)
A polynomial is written correctly when the exponents are listed in order from highest to lowest. The highest exponent then dictates the degree of the whole polynomial. The first choice above is written in standard form from highest degree to lowest. Doesn't matter that we might skip the x-squared term or any other x-term, as long as they're in order from highest to lowest. The degree on that first polynomial, the one you're after, is 4 because that's the highest exponent, and there are 4 terms there. Terms are "bunches" of numbers and variables stuck together by multiplication and separated by + or - signs.
Answer:
56 grams.
Step-by-step explanation:
In the sixth vertical string on the right, we have two cherries.
Since it is balanced, each of the other 3 strings(3rd, 4th and 5th) on the right will weigh two cherries.
Therefore:
Right Hand Side(3rd,4th,5th and 6th string) = 4 X 2 Cherries=8 Cherries
The fist string carries a weight of 2 Mushrooms
Therefore the second string will also weight Two Mushrooms.
Left Hand Side(1st and 2nd string)=2 X 2 Mushrooms =4 Mushrooms
Therefore:
Right Hand Side=Left Hand Side
8 Cherries=4 Mushrooms
One Cherry is 7 grams
Therefore:
4 Mushrooms =7 X 8 =56 Grams
The total weight of the left hand side is 56 grams. Therefore, the exotic fruit weighs 56 grams.
