Answer:
10 candy bars
Step-by-step explanation:
Since each of his friends needs a candy bar, you need to multiply 6 and 1 ⅔ together.
First, convert 1 ⅔ into an improper fraction: this gives us ⁵⁄₃.
Next, multiply ⁶⁄₁ and ⁵⁄₃ together. To do this, you can visualize 6 as ⁶⁄₁ (which is the same thing). Now you have ⁶⁄₁ x ⁵⁄₃.
<u>Simplify:</u>
The 6 in the numerator and the 3 in the denominator cancel out. This gives us ²⁄₁ x ⁵⁄₁ , which is 2 x 5.
2 x 5 = 10
I think this is what you’re asking for... you don’t need the fractions!
Answer:
64 = 1 x 64, 2 x 32, 4 x 16, or 8 x 8.
Hope that helps!
Answer:
Yes, it is
Step-by-step explanation:
The solution to the inequality are the sets of points that lie where we have the shaded part
The coordinates (3,0) lie on the shaded part and thus will be a solution to the set of inequalities
12. Recall the half-angle identity,
where we take the positive square root because 
is an angle in a right triangle, which means 
, so 
. For such an angle, it's always the case that 
.
Use the Pythagorean theorem to find the length of the hypotenuse:
Then
###
13. 
is in quadrant II, which means 
, so 
. In other words, 
is in quadrant I, so 
. From the half-angle identity we get
###
14. Simplification follows from the definitions of each function:
So we have
###
15. Use the Pythagorean identity:
Then
