Answer:
15 two-point questions and 5 four-point questions.
Step-by-step explanation:
Let x represent number of two-points questions and y represent number of four-points questions.
We have been given that Janice wants to create a test containing 20 questions. We can represent this information in an equation as:

Since all questions are worth 50 points. We can represent this information in an equation as:

From equation (1), we will get:

Upon substituting this value in equation (2), we will get:







Therefore, there are 5 questions that are worth 4 points each.
Now, we will substitute
in equation (1) to solve for x.



Therefore, there are 15 questions that are worth 2 points each.
Use the Midpoint Theorem to solve for x.
The theorem states that the line between the midpoints of a triangle is half the length of the side it's opposite to.
Line BF is opposite to Line CE. Line CE has a length of 88. Therefore, we can set up the following equation:


Divide both sides by 2 to get x by itself:

The value of x is
22.
The answer would be 30% , 3% would only be correct if he gave 0.3/10
Answer:
-12
Step-by-step explanation:
The Equation:
z + 7 = -5
Solve for the variable, z by isolating it. Note the equal sign, what you do to one side, you do to the other.
Note the rule PEMDAS.
PEMDAS is the order of operation & =
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
Isolate the variable. To do so, subtract 7 from both sides:
z + 7 = -5
z + 7 (-7) = -5 (-7)
z = -5 - 7
Simplify:
z = -5 - 7
z = -12
-12 is your value for z.
~
100 ml of fruit squash
sum the parts of the ratio, that is 2 + 7 = 9 parts
divide 450 ml by 9 to find 1 part
1 part =
= 50 ml
squash is 2 parts = 2 × 50 = 100 ml
lemonade is 7 parts = 7 × 50 = 350 ml
total = 100 + 350 = 450 ml