0.7 of what number is 4 1/2?
1 answer:
Answer:
x = 45/7
Step-by-step explanation:
Write as an algebraic equation.
Look at each part in the word question : 0.7 of what number is 4 1/2
"0.7 of what number" can be written as 0.7x
The word "is" means equals.
0.7x = 4 1/2 <= The equation, using 'x' to represent the number.
To find the number, isolate 'x'.
0.7x = Convert mixed fraction to improper fraction
0.7x = Multiply the whole number by the denominator and add it to the numerator
0.7x = Now isolate 'x'
0.7x/0.7 = Divide both sides by 0.7
x = Simplify right side
x = Rewrite 0.7 as a fraction
x = To divide, you multiply a flipped fraction
x = Multiply across the top and across the bottom
x = 90/14 Reduce to lowest terms. Top and bottom are divisible by 2
x = 45/7 Answer
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Answers:
x = 100
y = 25
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Explanation:
Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25
Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.
I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.
The triangle's angles 25, 75, z add up to 180. Let's solve for z
25+75+z = 180
100+z = 180
z = 180-100
z = 80
Use this to find x
x+z = 180
x+80 = 180
x = 180-80
x = 100
