Answer:
Answer:
Option (b) is correct.
4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.
Step-by-step explanation:
Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.
We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.
Let x represents the small rugs and y represents the medium rugs.
Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.
And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.
So, time taken to dye x small rugs = 4x
also, time taken to dye y medium rugs = 6y
And they have maximum of 120 hours.
So this inequality is represented by 4x + 6y < 120
The answer is: 4x + 6y < 120
Answer:
The answer is A
Step-by-step explanation:
do 3.30/2 the answer will be 1.75
Answer:
Natural selection is a mechanism, or cause, of evolution. Adaptations are physical or behavioral traits that make an organism better suited to its environment. Heritable variation comes from random mutations. Random mutations are the initial cause of new heritable traits.
Answer:
The Monument is taller than the child by 174.125 meters
Step-by-step explanation:
The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.
Step 1
Convert child's height to meters
100cm = 1 m
87.5 cm = x
Cross Multiply
100cm × x = 87.5 cm × 1m
x = 87.5 cm × 1m/100cm
x = 0.875m
Step 2
How much is the Monument taller than the child?
This is calculated by subtracting Child's height from Monument height
= 175 m - 0.875m
= 174.125 m
Therefore, the Monument is taller than the child by 174.125 m
We have been given 4 choices. We are asked to choose the volume that could belong to a cube with a side length that is an integer.
We know that volume of a cube is cube of each side length.
To solve our given problem, we will take cube root of each given value. The cube root of which value will be an integer that will be our correct choice.
A. 
![\sqrt[3]{s^3}=\sqrt[3]{18}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B18%7D)
Since cube root of 18 is not an integer, therefore, 18 is not a correct choice.
B. 
![\sqrt[3]{s^3}=\sqrt[3]{36}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B36%7D)
Since cube root of 36 is not an integer, therefore, 36 is not a correct choice.
C. 
![\sqrt[3]{s^3}=\sqrt[3]{64}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B64%7D)
Since cube root of 64 is 4 and 4 is an integer, therefore, 64 is the correct choice.
D. 
![\sqrt[3]{s^3}=\sqrt[3]{100}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%5Csqrt%5B3%5D%7B100%7D)
Since cube root of 100 is not an integer, therefore, 100 is not a correct choice.
