Answer:there are 14 5point problems and 15 2point problems on the test.
Step-by-step explanation:
x represents number of 5 point questions and y represents questions worth 2 points.
The total number of questions in the test is 29. It means that
x + y = 29
x = 29 - y
Mr. Martin’s math test is worth 100 points. It means that
5x + 2y = 100 - - - - - - - - -1
Substituting x = 29 - y into equation 1, it becomes
5(29 - y) + 2y = 100
145 - 5y + 2y = 100
- 5y + 2y = 100 - 145
- 3y = - 45
y = - 45/-3
y = 15
x = 29 - y = 29 - 15
x = 14
Answer:
3
Step-by-step explanation:
because 3 is the only number that goes into both 3 and 27
Answer:
y = -1
Step-by-step explanation:
The standard form of equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19
Make y the subject of the formula in both expressions
For 2x - y = 9
- y = 9- 2x
y = 2x - 9
Similarly for 3x - 7y = 19
-7y = 19 - 3x
7y = 3x - 19
y = 3/7 x - 19/7
Equating both expressions
2x - 9 = 3/7 x - 19/7
Multiply through ny 7
14x - 63 = 3x - 19
14x - 3x = -19 + 63
11x = 44
x = 44/11
x = 4
Since y =2x - 9
y = 2(4) - 9
y = 8-9
y = -1
Hence the coordinate of intersection is at (4, -1)
Get the equation of the line passing through (-3, -1) and (4, -1)
Slope m = -1+1/4+3
m = 0/7
m = 0
Get the intercept
Substitute m = 0 and (-3, -1) into y = mx+b
-1 = 0(-3) + b
-1 = b
b = -1
Get the required equation
Recall that y = mx + b
y = 0x + (-1)
y = -1
Hence the required equation is y = -1
Answer:
30 cubic feet
Step-by-step explanation:
Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.
For that we need to use the theorem which says that
the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.
Volume of Rectangular prism = 
* Volume of rectangular pyramid
= * 90
= 30
Answer:
6 by 8 or ( -4. 4)
Step-by-step explanation:
because that the answer
