5 - 5b < 1 - 4b
5 < 1 + b
4 < b
1 - 4b < 6 - 5b
1 + b < 6
b < 5
4 < b < 5
(The second less than sign is less than or equal to)
The answer would be C. Multiply 4 and 8 which is 32 then divide that by 8 which equals 4.
X= # of multiple choice questions
y= # of word problem questions
EQUATION 1:
x + y= 25
EQUATION 2:
3x + 4y= 90
STEP 1:
solve for one variable in equation 1
x + y= 25
subtract y from both sides
x= 25 - y
STEP 2:
substitute x=25-y in equation 2
3x + 4y= 90
3(25-y) + 4y= 90
75 - 3y + 4y= 90
75 + y= 90
subtract 75 from both sides
y= 15 word problems
STEP 3:
substitute y value to find x
x + y= 25
x + 15= 25
x= 10 multiple choice questions
ANSWER: There are 15 word problems and 10 multiple choice questions.
Hope this helps! :)
Step-by-step explanation:
Find the gradient of AB
-2.5
Find the gradient of perpendicular
0.4
Make the equation
y= 0.4x + c
Apply point A
3= 0.4*2+c
3-0.8= c
c= 2.2
y= 0.8x + 2.2
