1.
The 5/65 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
2. The 10/125 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
3. The 65/5 simplifies, the a³ moves to the numerator, and bc is canceled from the numerator and denominator.
4. The 10/130 simplifies, the b² cancels out in the numerator and denominator, and the
moves to the numerator.
5. The 10/130 simplifies, the b² cancels out in the numerator and denominator, the
moves to the numerator, and the
moves to the numerator.
I believe the only expression that simplifies to
is the first one.
Answer:
0.6 or 60%.
Step-by-step explanation:
For this case what you must do is to determine the value of r of the given equation:
A = pi * r ^ 2.
Clearing the value of r we have:
r = root (A / pi)
Note that r has two roots:
r1: = + root (A / pi)
r2: = - root (A / pi)
In this case we must ignore the negative root.
Answer:
The formula to find r is
r = root (A / pi)
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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Altogether there are 14 flavours of oatmeal.
The number of grams of fiber (per serving) is shown in the list/table.
What you're expected to do is to count the number of flavours that has the given number of grams of fibre (0-1, 2-3,...) and drag the appropriate tile to the appropriate location in the graph.
For example, for 0-1 grams of fibre. I see there is are 2- "1", and no zeroes. So there is only one single flavour that has 0-1 gram of fibre in a serving. You will need to drag the tile marked "2" in the first position (0-1).
For 2-3 grams, I see 3 "2" and 3 "3" for a total of six flavours. So you would drag the tile marked "6" to the second position in the graph (2-3).
Similarly, for 4-5 grams, I see 4-"4" and 1-"5", so again you drag the tile marked "5" to the third position on the graph.
Do the same for 6-7 grams, I see only 1-"6", so drag the tile marked "1" to the fourth position, then you're done!
Check: 2+6+5+1=14 ✔
