Answer:
<h3>2x+2y = 100</h3>
Step-by-step explanation:
Total number of points in the test = 100points
If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x........ 1
Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x ....... 2
Total points = eqn 1 + eqn 2
100 = 2x+ 2y
Rearrange
2x+2y = 100
Hence an equation in Standard Form that would model this situation is 2x+2y = 100
Answer:
The maximum number of packages that can be made with each package have same number of each item is = 6
Step-by-step explanation:
Given:
Mr. Harris has 48 pencils and 30 notebooks.
To find the number of packages he can make with each package have same number of each item.
Solution:
Number of pencils = 48
Number of notebooks = 30
In order to find the number of packages he can make with each package have same number of each item, we will find the greatest common factor of the given numbers.
<em>To find the G.C.F., we will list down the prime factors of each.</em>


We find that the G.C.F. =
= 6
Thus, the maximum number of packages that can be made with each package have same number of each item is = 6
Answer:
M = -2
Step-by-step explanation:
Answer:
square root of 5 squared minus 4 squared
Step-by-step explanation:
a^2 + b^2 = c^2
c^2 - b^2 = a^2
5^2 - 4^2 = a^2
25 - 16 = a^2
9 = a^2
√
√9=a
a=3
or
a= √25-16
a= √9
a=3
Hope this helps!