Using the given fractions,<span><span>2/3</span>÷<span>1/8
</span></span><span>Applying the </span>fractions formula for division,<span>=<span><span>2/3</span><span>×8/1</span></span></span><span><span>
</span></span>Simplifying 16/3,
the answer is<span>=5 <span>1/<span>3
So 6 is correct</span></span></span><span><span><span>
</span></span></span>
The Cena can take 7 courses
We have given that the karate charges $35 for the first course and $22.50 for each course after that. Our total is $170.
<h3>What is the condition we can write here?</h3>

for solving this linear equation
First, subtract 35 from both sides.

isolate x so divide both sides by 22.50.

Therefore we get x = 6
Remember to add the additional class, so x is actually 7.
So,the Cena can take 7 courses.
To learn more about the linear equation visit:
brainly.com/question/1549055
Answer:
x = 18 , y = 45
Step-by-step explanation:
The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.
Same- side interior angles sum to 180° , then
6x + 7 + 4x - 7 = 180 , that is
10x = 180 ( divide both sides by 10 )
x = 18
Then
6x + 7 = 6(18) + 7 = 108 + 7 = 115
6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so
3y - 20 = 115 ( add 20 to both sides )
3y = 135 ( divide both sides by 3 )
y = 45
Answer:
65.03square units.
Step-by-step explanation:
Find the diagram in the attachment below.
Area of the sector HJK = theta/360° × πr²
theta is the angle subtended by the sector = ∠HJK = 92°
r is the radius = HJ = 9units.
Substituting the given values in the formula:
Area of sector HJK = 92°/360° × π(9)²
Area of sector HJK = 23,399.28/360
Area of sector HJK = 65.03 square units to nearest hundredth
8,624 rounded to the nearest thousand is 9,000
Hope this helps
-AaronWiseIsBae