3x+5(4x-6)-8=3x-14
Step-by-step explanation:
Cancel out the terms on both sides of the equation. (3x)
5(4x-6)-8=-14
Distribute 5 through the parentheses.
20x-30-8=-14
Calculate the difference.
20x-38=-14
Move the constant to the right-hand side and change its sign.
20x=-14+28
Calculate the sum.
20x=24
Divide both sides of the equation by 20.
x=6/5, 1.2, or 1 1/5
Answer:
x=6/5, 1.2, or 1 1/5
Hope this helps! :)
Answer:
A F(x)=30x
Step-by-step explanation:
just plug number in to the equations to see which one matches
.75 Rounded to the nearest thousandth would be 0.750
<h2><u>Problem Solving</u>:-</h2>
2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.
<h2><u>Solution</u>:-</h2>
Since the distance d varies directly as the time t, then d = kt.
Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.




<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 10.
Answer:
The number of deserters is 34.
Step-by-step explanation:
We have to calculate the number of desertors in a group of 1500 soldiers.
The sergeant divides in groups of different numbers and count the lefts over.
If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.
If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.
If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.
If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.
The deserters are 34:
