Answer:
Step-by-step explanation:
- So first we have to find out the total number of points possible
- So he took 5 tests each with a max score of 100 points, so that's 500 points total
- The final test will be 150 points, so his whole grade is out of 500+150= 650 points
- He has already scored 460 of those 650 points
- Now how much must he get in the least, on the last test in order to make 90%?
- Now we need to find what 90% of 650 points is
- so
- Then we ask ourselves, how much must we add to 460, to get 585 points? 585-460= 125 points
- So Mark needs to get either 125 points or more on the next test to make 90% or more
- Now let's say the letter
means whatever grade number Mark gets on his next test - This number must not be less than 125, so it must be either equal to or greater than 125 points
- So
5+-2x=2x+-5
5=4x+-5 (add 2x to both sides)
10=4x (add 5 to both sides)
10/4=x (divide both sides by 4)
QUESTION 12
The given figure has five unequal sides.
The perimeter is the distance around the figure.
So we add all the lengths of the sides of the rectangle to get,
We regroup the like terms to obtain,
This will simplify to give us,
QUESTION 13
The given figure has two pairs of sides that are equal in length and three unequal sides.
The perimeter can be found by adding all the lengths of the sides of the of the figure.
This will give us
We regroup like terms to obtain,
This finally simplifies to ,
.
QUESTION 14
This plane figure has four sides that are equal to 4j and two sides that are equal to 2h.
We add all the lengths of the sides of the plane figure to get,
This will simplify to give us,
4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.
5) B
Area of a triangle = ½ bh.
where b = base &
h = height.
Area of outer shape = (½ x 16 x 12) in^2.
= 96 in^2.
Area of unshaded inner shape = (½ x 3 x 4) in^2.
= 6 in^2.
Area of shaded region = (96 – 6) in^2.
= 90 in^2.
You are doing 133 divided by 6 to give you 55
