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:
40 cars
Step-by-step explanation:
The total percentage of Ariana's car collection should be = 100%
35% of the collection = 14
1 percent = 14/35
1 percent is therefore 0.4
To get the total number of cars in Ariana's collection, we multiply 100 by 0.4
= 100 x 0.4 = 40
Therefore the total number of cars in her collection is equal to 40 and this is the answer to the question.
Another way to solve this is by cross multiplication
35% = 14
100% = ?
When we cross multiply we have:
(100x14)/35
= 1400/35
= 40
Thank you!
The 2 small black lines through the sides of the triangle indicate that the 2 sides are the same length.
Because the 2 sides are the same the 2 bottom angles are also the same.
This means that 9x +3 = 84
Now we can solve for x:
9x +3 = 84
Subtract 3 from each side:
9x = 91
Divide both sides by 9:
x = 81 / 9
x = 9
Answer:
45
Step-by-step explanation:
46
25% in fraction form is 25/100
That simplified is 1/4.
So multiply 18 by 1/4.
18 <span>× 1/4
= 18/4
= 9/2
= 4.5
This is your answer.
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