Answer:
A. 
B. Yes, Pablo can buy 2 pair of pants and 4 shirts.
Step-by-step explanation:
A. Let x be the number of pairs of pants and y be the number of shirts.
We have been given that Pablo wants to purchase 6 additional clothing pieces for his wardrobe. We can represent this information as:
We are also told that each pair of pants costs $20 and each shirt costs $15. So the cost of x pairs of pants will be 20x and cost of y shirts will be 15y.
As Pablo wants to spend $100 on clothing, so we can represent this information as:
Therefore, the system of equation representing the given situation will be:
B. To find if Pablo can buy 2 pair of pants and 4 shirts we will substitute x=2 and y=4 in our both equations.
We can see that x=2 and y=4 satisfies our both equation, therefore, Pablo can buy 2 pair of pants and 4 shirts.
Answer:
<h2>A horizontal translation and a 180° rotation only.</h2>
Step-by-step explanation:
Notice those shapes are positioned as a reflection.
So, one way to map them onto is self is by rotating 180° and a horizontal translation. Or it could work if we translate it horizontally, the we reflect it vertically. Those transformations would map the strip onto itself.
Therefore, the second choice is the best answer.
Answer:
x = 929/126
Step-by-step explanation:
12/19(x-22)=38-6x-3
Combine like terms
12/19(x-22)=35-6x
Multiply each side by 19
19* 12/19(x-22)=19*(35-6x)
12( x-22) = 19*(35-6x)
Distribute
12x - 264 = 665 - 114x
Add 114x to each side
12x +114x - 264 = 665 - 114x+114x
126x -264 = 665
Add 264 to each side
126x-264+264 = 665+264
126x = 929
Divide each side by 126
126x/126 = 929/126
x = 929/126
Answer:
D
Step-by-step explanation:
Using the cosine ratio in the right triangle.
cos66° = 
= 
( multiply both sides by x )
x × cos66° = 13 ( divide both sides by cos66° )
x = 
≈ 32.0 ( to the nearest tenth )
