Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
15 is 16.66666 percent of 90.
Answer:
$2.75
Step-by-step explanation:
A quarter's value as placed on it by the U.S. Treasury Department is $0.25, or 1/4 of a dollar.
Henry had 15 quarters, in which he gives his sister 4: 15 - 4 = 11
Henry now has 11 quarters. Multiply 11 with 0.25: 11 x 0.25 = 2.75
Henry has $2.75
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Answer:

Step-by-step explanation:
We know that:
- The initial conditions are -7 meters at 0 minutes.
- Then, after 6 minutes, he was 16 meters below the ground.
According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are
and
, where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.
So, we calculate the slope:

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point
is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:

Answer: 96 cents or 0.96
Step-by-step explanation:
When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96