Answer:
1/8
Step-by-step explanation:
Let x be the number of MP3 players TechWiz sold last week.
If TechWiz sold in total 130 MP3 and DVD players, then it sold (130-x) DVD players.
1. TechWiz Electronics makes a profit of $35 for each MP3 player sold, then it makes a profit $35x for x MP3 players sold.
2. TechWiz Electronics makes a profit of $18 for each DVD player sold , then it makes a profit $18(130-x) for (130-x) DVD players sold.
3. An expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is
35x+18(130-x).
You can simplify it:
35x+2,340-18x=17x+2,340
Answer: 35x+18(130-x) or 17x+2,340
70/7= 10 miles in January
10/4 = 2.5 miles in February
Answer:
150 and 30
Step-by-step explanation:
Hello!
Supplementary angles are angles that when added up equal 180
Which can be shown by
x + x = 180
Since one has to be 5 times bigger we put a 5 in front of one of the x's
5x + x = 180
5x is an angle and x is the other
Now we solve for x
5x + x = 180
Combine like terms
6x = 180
Divide by 6
x = 30
Now we put that into each angle
5(30) = 150
30
The answer is 150 and 30
Hope this Helps!
<h3>Given</h3>
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
<h3>Find</h3>
The area of each figure, rounded to the nearest integer
<h3>Solution</h3>
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
