Answer:
a) 4(x - 2) = 100
4x - 8 = 100
4x = 92
x = 23
b) 2(x - 2) = 50
2x - 4 = 50
2x = 46
x = 23
Step-by-step explanation:
When solving for x in both equations, we get the same value of x which makes that statement true.
Let n = number
" product of 3 and a squared number" translates to 3n²
"sum of the number and 4" translates to n + 4
The word "is" becomes your equals sign.
3n² = n + 4 is your equation.
Since we know there are 3 quarts of pineapple juice and 2 gallons of orange juice the first thing you need to do is convert the units of the orange juice to quarts.
If there are 4 quarts in a gallon and we have 2 gallons then we have 8 quarts (4*2)
So 3 quarts of pineapple juice to 8 quarts of orange juice.
The ratio would be <u><em>3:8</em></u>
<h3>
Answer: (4,2)</h3>
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Explanation:
C is at (0,0). Ignore the other points.
Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.
Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"
So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.
All of this is shown in the diagram below.
Answer:
336in^3
Step-by-step explanation:
The volume of a rectangulur prism can be found by multiplying the length of the box with its height and width.
Thus, we can find the volume using the solution below:
v=l*w*h
l = 12in
h = 7in
w = 4in
12*7*4 = 336in^3