<span>The number that goes into both of these is 22 and 22 will go into 2, 11 times so that becomes 11/22 instead of ½ and then 7/11 becomes 14/22. What you do is take the common denominator and since that is 22 you say how many time will 2 go into 22 and it is 11 so multiply 11*1 which is 11 then do the same with the 7/11 since it is 22 it goes in 2x so 2*7 is 14 so if you have to add the two then it is 11/22+14/22= 25/22 which would be reduced to 1 and 3/22
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At most she can listen to her music in 16 different ways.
Answer:
-4908534052.57
Step-by-step explanation:
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet