Answer:
Jace gets $18.00 while Chris keeps $27.00
Step-by-step explanation:
Jace
2/5 of $45.00
2/5 × 45
= $18.00
Jace gets $18.00
Chris:
$45.00 - $18.00 = $27.00
Answer:
Step-by-step explanation:
The given expression is 26.48. We need to write the equivalent expression for it. There are two numbers after decimal. It means that we can divide 2648 by 100 i.e.
We know that, 2648 = 662 × 4 and 100 = 25 × 4
Hence, is the equivalent expression.
Answer:
v=6
Step-by-step explanation:
First let's simplify the equation so it will be easier to PEMDAS the equation later.
-7v+4(2-5v)=-154
-7v+8-20v=-154
-27v+8=-154
Now you must isolate the v variable. You do this by subtracting 8 first and then divide by -27.
-27v+8=-154
-27v=-162
v = 6
<h3>2
Answers: Choice C and choice D</h3>
y = csc(x) and y = sec(x)
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Explanation:
The term "zeroes" in this case is the same as "roots" and "x intercepts". Any root is of the form (k, 0), where k is some real number. A root always occurs when y = 0.
Use GeoGebra, Desmos, or any graphing tool you prefer. If you graphed y = cos(x), you'll see that the curve crosses the x axis infinitely many times. Therefore, it has infinitely many roots. We can cross choice A off the list.
The same applies to...
- y = cot(x)
- y = sin(x)
- y = tan(x)
So we can rule out choices B, E and F.
Only choice C and D have graphs that do not have any x intercepts at all.
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If you're curious why csc doesn't have any roots, consider the fact that
csc(x) = 1/sin(x)
and ask yourself "when is that fraction equal to zero?". The answer is "never" because the numerator is always 1, and the denominator cannot be zero. If the denominator were zero, then we'd have a division by zero error. So that's why csc(x) can't ever be zero. The same applies to sec(x) as well.
sec(x) = 1/cos(x)
Answer:
32.72
Step-by-step explanation:
36.36/100
0.3636
0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.
32.72
