110x4= 2
70x6= 2
60x7= 1
Hope this helps.
Answer:
a-b = 2a
a-b = -2b
Step-by-step explanation:
a+b = 0
Subtract b from each side
a+b - b=0-b
a = -b
a-b =
Replace a with -b
-b -b= -2b
a = -b
Divide by -1
-a =b
or replace b with -a
a - (-a)
a+a
2a
Answer:
there were 20 two point questions =
there were 30 five point questions
Step-by-step explanation:
Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?
x + y = 50 eqn 1
2x + 5y = 160 eqn 2
this can be solved using simultaneous equation
multiply eqn 1 by 2
2x + 2y = 100 eqn 3
subtract eqn 3 from 2
3y = 60
y = 20
Substitute for y in eqn 1
x + 30 = 50
x = 20
Answer:
30
Step-by-step explanation:
6*5=30
Answer:
The area of pyramid B is 120cm³
Step-by-step explanation:
Since the shapes are similar, then one is an enlargement of the other using a scale factor. To find the scale factor we have to take the quotient of the surface areas then take the square root. We are looking for the scale factor because we will use it to find the volume of pyramid B.
scale factor = √(60/135) = √(4/9) = 2/3, 2 and 3 correspond to pyramids B and A respectively.
We took the square root because area factor = (scale factor)². By taking the quotient, the area factor is gotten. Therefore to get the scale factor we need to take the square root of the area factor.
Volume factor = (scale factor)³
Volume factor = (2/3)³ = 8/27
8/27 = x/405
x = (8 * 405)/27 = 8 * 15 = 120.
Therefore the area of pyramid B is 120cm³.
