To find the minimum score, you will consider that the mean of 80 must spread out between all possible scores.
Because the last exam counts double, you will consider 5 scores.
5 x 80 = 400 total points are what Tina needs.
400 - (94 + 68 + 88) = 150.
She must earn half of 150 points on her exam to earn an 80% overall grade.
A 75 is what Tina will need.
Question 4
So the polygon has 10 sides, to calculate how much all the interior angles are summed up, you have to see how many triangles you can fit into the polygon (this works for any polygon), in this case it is 8 (see file attached). Therefore you do 8 x 180 = 1440, so the overall angle is 1440º. Now you do 1440 : 10, because there are 10 equal angles, and that is 144º.
Every angle has 144º
question 5
Bearings are always measured clockwise and you always start north. You are at point A and want to go to point B, how much do you have to turn (clockwise!!)?
345º
Answer:
x = -9
Step-by-step explanation:
To solve these types of questions,
a). If both the sides of the equation are different,
2x + 3 = 3x - 6
There will be exactly one solution.
b). If the coefficient of variable 'x' is same in both the sides of the equation,
x - 3 = x - 6
Solution set will be 'none'.
c). If both the sides of the equation are exactly same then equation will have infinite solutions.
2x + 3 = x + x + 3
In the given equation,
6x - (5x + 5) = -8 - 2(x + 12)
Further simplify the equation,
(6x - 5x) - 5 = - 8 - 2x - 24
x - 5 = -2x - 32
x + 2x = 5 - 32
3x = -27
x = -9
Replace the informations you don't know with letters.
x = number of bags
y = number of sandwiches
7x + 3y = 22
3x + y = 8
Then solve the equations.
First, isolate the y in the second one like this :
y = 8 - 3x
then replace the y in the first equation with its worth from the second equation :
7x + 3(8 - 3x) = 22
solve for x, then replace the value in the equations to get the value of y