*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*
Part A) Theresa has 5 cards so: 5 x -50 = -250
Theresa has -250 points.
Part B) Mark has 8 cards so: 8 x -50 = -400
Mark has -400 points.
Part C) Theresa has more points because -250 is closer to 0 on a number line.
Answer:
Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
Step-by-step explanation:
According to trigonometry identity;
Cos 30° = √3/2
To get the expression equivalent to 30°, we will take the inverse of both sides as shown;
Cos^-1(cos 30°) = cos^-1(√3/2)
The arccos will cancel out the cos on the left hand side of the equation to have;
30° = cos^-1(√3/2)
Hence 30° is equivalent to inverse of cosine of √3/2 or Inverse of cosine (StartFraction StartRoot 3 EndRoot Over 2 EndFraction)
54 216
First look at the difference of the items sold between the 2 people. Clearly Lizzie sold 9 more boxes of peaches and earned 162 more dollars. We can solve and get that each box of peaches are worth 18 dollars. Then use what we found out --> 4 boxes of apples+1 boxes of peaches = 54 dollars. so 4 boxes of apples are worth 54-18=36 dollars. and thus each box of apples are worth 9 dollars.
Answer: each box of apples are wroth 9 dollars and each box of peaches are wroth 18 dollars. Done!
The question above makes use of the concept of ratio and proportion in a form of scaling. If we let x and y be the true length and width, the equations that best describe them are,
0.5 cm / 1 inch = 2.5 cm / x in ; x = 5 in
0.5 cm / 1 inch = 4.75 cm / y in ; y = 9.5 in
Therefore, the true length and width of Rueben's flag is 5 in and 9.5 in, respectively.
The answer is -16.
-12+(-4) = -16
^is this the equation you meant or?
