Answer:
-3.649% or -0.0365
Step-by-step explanation:
A percentage can be converted to a decimal by moving the decimal point 2 places to the left.
-27.37% = -0.2737
Divide
-0.2737 / 7.5 = Answer
Okay so 0.4 is equal to 4/10 (hopefully you know that!) & anything over 1 is itself so i would but 64 over 1.
so now you hace 2 fractions & when dicing fractions you alwas flip the second fraction upside down & then just multiply across.
so if you have
64 4
---- / ----
1 10
you would switch the 2nd one so the 10 would be on top.
so that would give you 64*10 over 1*4
which equals 640/4
& when you simplify that you get 160
so that's your answer(:
Answer: 2/3 books on politics
Step-by-step explanation:
The opportunity cost of something is the next best alternative that you would have taken if you did not instead go for the option that you took.
Opportunity cost here is the number of books on politics that Bill had to give up to get a single book on history.
= Number of politics books / Number of history books
= 4 / 6
= 2/3 books on politics
<em>Bill gave up 2/3 books on politics to get a single history book. </em>
Answers:
x = 5
m∠C = m∠H = 38 degrees
WORKINGS
Given that ABCD ≅ FGHJ
We know that corresponding angles of two congruent
quadrilaterals are equal
Therefore,
m∠A = m∠F
m∠B = m∠G
m∠C = m∠H
m∠D = m∠I
Given,
m∠C = 9x – 7
m∠H = 5x + 13
Since m∠C = m∠H
9x – 7 = 5x + 13
Add 7 to both sides of the equation
9x – 7 + 7 = 5x + 13 + 7
9x = 5x + 20
Subtract 5x from both sides of the equation
9x – 5x = 5x – 5x + 20
4x = 20
Divide both sides of the equation by 4
4x/4 = 20/4
x = 5
To determine the measures of angle C and angle H
m∠C = m∠H
We know that m∠C = 9x – 7
Since x = 5
m∠C = 9(5) – 7
m∠C = 45 – 7
m∠C = 38
Therefore, m∠C = m∠H = 38 degrees
Supplementary angles. They both add up to equal 180 degrees
