Answer:
The inequality is $200 + x*$8≤ $350
Step-by-step explanation:
An inequality is an inequality between letters (unknowns) and numbers related by arithmetic operations. Its solution set is the set of real numbers that satisfy it. In other words, an algebraic inequality in which its members are linked by the signs <(less than), ≤ (less than or equal to),> (greater than) or ≥ (greater than or equal to) is called an inequality.
Solving an inequality is to find the values of the unknown for which the inequality holds. The solution of an inequality is an interval or a union of intervals of real numbers.
In this case, you know that Carmen wants to buy 2 pairs of sneakers that cost $ 100 each.So the 2 pairs of sneakers will cost Carmen:
2 * $ 100 = $ 200
On the other hand, Carmen wants to find the possible amount of socks that she can buy, knowing that a pair costs $ 8. Being x the amount of socks that she can buy, then Carmen spends on socks:
x*$8
Knowing that Carmen has a $ 350 gift card to spend at Modell's, then what she spent on sneakers and socks cannot be more than $ 350. That is to say, the sum of what was spent on sneakers and socks must be less than or equal to $ 350, because Carmen cannot spend more than she has. This is expressed by the following inequality:
<u><em>$200 + x*$8≤ $350</em></u>
Solving for x:
x*$8 ≤ $350 - $200
x*$8≤ $150
x≤
x≤ 18.75
<u><em>Carmen can buy 2 sneakers and 18 or fewer socks with the $ 350 gift card.</em></u>
<u><em></em></u>
Answer:
The volume of the tumor experimented a decrease of 54.34 percent.
Step-by-step explanation:
Let suppose that tumor has an spherical geometry, whose volume (
) is calculated by:
Where 
is the radius of the tumor.
The percentage decrease in the volume of the tumor (
) is expressed by:
Where:
- Absolute decrease in the volume of the tumor.
- Initial volume of the tumor.
The absolute decrease in the volume of the tumor is:
The percentage decrease is finally simplified:
![\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7BR_%7Bf%7D%7D%7BR_%7Bo%7D%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
Given that 
and 
, the percentage decrease in the volume of tumor is:
![\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%](https://tex.z-dn.net/?f=%5C%25V%20%3D%20%5Cleft%5B1-%5Cleft%28%5Cfrac%7B0.77%5Ccdot%20R%7D%7BR%7D%5Cright%29%5E%7B3%7D%20%5Cright%5D%5Ctimes%20100%5C%2C%5C%25)
The volume of the tumor experimented a decrease of 54.34 percent.
Answer:
x-int of -1; y-int of -1; parabola that is reflected along the x-axis.
Answer:
If quadrilateral WXYZ is congruent to quadrilateral RSTQ, then its corresponding elements are also congruent.
That is,
Also,
Therefore, the right answer is None of the Above.
You would know if it is a linear function if it is a line.
The parent function of a linear equation is y = mx + b
If you can find the m which equals slope and the b which is the y-intercept then it is a linear equation.
You would know that it is decreasing by the slope of the equation or by looking at the line on a graph.
If a line is increasing it would go left to right in the positive direction. But in your line, the line is going from right to left which means that it is decreasing. Once you look at a four quadrant graph you would understand that there are negatives and positives.
To find it on a equation, your slope would have to be a negative slope to be decreasing.
