Answer:
460 grams
Step-by-step explanation:
Thr trick to this question is knowing the density of water, which happens to be 1 gram/cm^3. If we start with a 200 gram cup and add 260 cm^3 of water, we are adding 260 grams onto 200 grams and getting 460 grams.
It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.
For graphing:
If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.
If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:
x y
-2 8
-1 5
0 4
1 5
2 8
The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.
This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.
There are two separate equations for this question that use the same variable.
Mary took 7 hours to complete a trip with traffic. This would use the following expression:

Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

Both trips had the same distance. From the information provided, we can set up the following equation:

x represents the average rate of speed on both trips.
Distribute 4 to each term in parentheses:



Subtract 4x from both sides:

Divide both sides by 3 to get x by itself:

The average speed for the slower trip is 36 mph.
We can plug this value into the first equation:

Mary lives
252 miles away from the mountains.
The true statement on Quadrilateral ABCD is B) A and C are supplementary. The theory is that when a quadrilateral is inscribed in a circle, the value of opposite angles always adds up to 180 degrees. The summation of two angles resulting to 180 degrees is called supplementary angles.
Answer a=3f+g/b+x
Step-by-step explanation:
Let's solve for a.
a(x+b)=g+3f
Step 1: Factor out variable a.
a(b+x)=3f+g
Step 2: Divide both sides by b+x.
a(b+x)/b+x=3f+g/b+x
a=3f+g/b+x