The answer is C. 5x
We need to find the price of one magazine. To do this we divide 350 by 70
350 / 70 = $5 per magazine
There is a trig identity called the sum of 2 angles for sin its<span>
sin(a+b)=sin(a)cos(b)+cos(a)(sin(b)
</span>
You will need to use it. So in your question split the 4x in 2 equal parts 2x and 2x
<span>
</span><span>sin(4x)=sin(2x+2x)
</span>Now using the expansion above you will get
<span>sin(2x+2x)=sin(2x)×cos(2x)+cos(2x)×sin(2x)
</span>And it will simplify to
<span><span>2sin(2x)cos(2x)
I hope this helps you! Good luck :)</span></span>
Answer:
3080 square inches
Step-by-step explanation:
I like to draw things out. So I drew this cooler out, with the dimensions of 26x14x16. It the cooler is 2 inches thick, I need to remove 2 inches from each side of the cooler. So I took 4 inches off of the 26 and the 14 so the length and width become 22 and 10 respectively. Then I took 2 inches off the bottom of the cooler so the 16 became 14. This gives me the new dimensions of 14x22x10.
Answer:
60,000
Step-by-step explanation:
Let the total people in the household be 100%
If 80 percent of the households have cable television, 60 percent of the households have videocassette recorders and the number of households that have both cable television and videocassette recorders is 'x' percent. The number of households having ONLY cable television will be 80-x while households having ONLY videocassette will be 60-x.
To get x, we will have;
80-x + 60-x + x = 100
140-x = 100
x = 140-100
x = 40
This shows that 40% of the households have both cable television and videocassette.
If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be 40% of 150,000
= 40/100 × 150,000
= 60,000
Number of households that owns both television and videocassette could be from 60,000.
Answer:

Step-by-step explanation:
The given expression is

We have to find the value of given expression when -x=-4/5 and y= 1/3.
Substitute -x=-4/5 and y= 1/3 in the above expression, to find the value of given expression when -x=-4/5 and y= 1/3.

After multiplication we get

Taking LCM, we get



Therefore, the value of given expression is
.