Answer:
Edge length of the cube = 27 m
Dimensions of the box is length = 135 m, width = 81 m, height = 27 m
Step-by-step explanation:
The box contains 15 identical cubes therefore, we have
Edge length of cube = Side, s, of cube
15 × s³ = 295245 m³
∴ s³ = 295245/15 = 19683 m³
s = ∛19683 = 27 m
Hence the edge length of the cube = 27 m
The dimension of the box is length = 5 × 27 = 135 m
Width = 3 × 27 = 81 m
height = 27 m.
Answer:
The GCF of 16 and 32 is 16.
Step-by-step explanation:
The GCF (greatest common factor) is the largest number that both numbers can be divided by.
16 is divisible by 16, which is the largest number 16 is divisible by. 32 is divisible by 16 as well, so the GCF of 16 and 32 is 16.
Answer choice B is wrong because y-y^1 not y-x^1 which also means that answer choice D is wrong because you cannot do a number minus a negative.
Answer choice A is wrong because y-y^1=m(x-x^1) remember, you cannot subtract a negative so it becomes posotive which means that answer choice C is your best bet
Have a nice day!
Answer:
99
Step-by-step explanation:
Given:
A student has earned the following scores on four 100-point tests
65 73 81 82
Average grade of total five test = 80
Question asked:
What score must the student earn on the fifth and last 100-point test of the grading period to earn an average test grade of 80 for the five tests ?
Solution:
Let score earned in fifth test = ![x](https://tex.z-dn.net/?f=x)
By using average formula:
Now, according to the question
Average grade of total five test = 80
Sum of all observation by tatal num. of observation = 80
= ![80](https://tex.z-dn.net/?f=80)
![\frac{301 + x}{5} = 80\\](https://tex.z-dn.net/?f=%5Cfrac%7B301%20%2B%20x%7D%7B5%7D%20%20%3D%2080%5C%5C)
Multiplying both side by 5
![301 + x = 400](https://tex.z-dn.net/?f=301%20%2B%20x%20%3D%20400)
Subtracting both side by 301
![x = 99](https://tex.z-dn.net/?f=x%20%3D%2099)
Therefore, he must score 99 to earn an average test grade of 80 for the five tests.
Answer:
-2
Step-by-step explanation:
-9/3=-3
-3+b=-1
b=-1+3
b=-2