Here is a photo of what I chose as my equivalent numbers (Red represents my work, blue represents which step comes next, and highlighter shows what the answer is). My reasoning that 1/2 and 5/10 are equivalent is because 5/10 divided by 5/5 is 1/2.
<em>Answer:</em>
<em>1/36</em>
<em>Step-by-step explanation:</em>
<em>²⁾5/18 - ⁹⁾1/4 =</em>
<em>= 10/36 - 9/36</em>
<em>= 1/36</em>
Answer:
133.04ft²
Step-by-step explanation:
Area of a circle is:
We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.
Using 3.14 for pi:
The area is appropriately 133.04ft².
Hope this helps.
1) -6y + 17 = 3y - 10
Subtract 3y from both sides.
-6y - 3y + 17 = -10
Subtract 10 from both sides.
-6y - 3y = -12 - 10
Simplify.
-9y = -27
Divide both sides by -9.
y = 3
2) 3x - 32 = -7x + 28
Add 7x to both sides.
3x + 7x - 32 = 28
Add 32 to both sides.
3x + 7x = 28 + 32
Simplify.
10x = 60
Divide both sides by 10.
x = 6
3) 3.2 - 16 = 4a
Simplify.
-12.8 = 4a
Divide both sides by 4.
a = -3.2
4) 16.8 - v = 6v
Add v to both sides.
16.8 = 6v + v
Simplify.
16.8 = 7v
Divide both sides by 7.
v = 2.4
To check all answers, simply plug in the value of the variable that you found, then simplify.
~Hope I helped!~
9514 1404 393
Answer:
90.1 m
Step-by-step explanation:
The length of the shortcut is the hypotenuse of a right triangle with side lengths 30 and 85. That length can be found using the Pythagorean theorem.
PQ² = 30² +85² = 8125
PQ = √8125 ≈ 90.1
The length of the shortcut is 90.1 meters.
