Answer:
Question 1: RS=47
Question 2: x=6
Step-by-step explanation:
Question 1:
Step 1: 3x+5=2x+15+6x-37
Step 2: 3x+5=8x-22/2
Step 3: 3x+5=4x-11
Step 4: x=16
Step 5: 2(16)+15=32+15=47
<u>RS= 47</u>
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Question 2:
Step 1: 7x+2+25x-14=180
Step 2: 32x-12=180
Step 3: 32x=192 (divide 32 from each side)
<u>x=6</u>
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First thing you need to do is find your k in y = kx
So to do that insert 18 for x and 6 for y and then solve for k
y = kx
6 = k18
6/18 = k18 /18
1 / 3 = k
k = 1 /3
So now that we know what k is we can find x when y = 10. Once again insert the numbers we know. We know k = 1/3 and y = 10 and we need to find x
y = kx
10 = (1/3)x
3* 10 = 3*(1/3)x
30 = x
x = 30
Remark
The trick here is to realize that you have to find the number both have in order to find the difference. That means you take (effectively) 3/8 and 5/8 to find out how much each of them has. The 8 stands for the 136
Step One
Find the number of stamps Alex has. Remember his ratio is the smaller so he will have 3/8
Alex = 3/8 * 136
Alex = 408/8 = 51
Step 2
Find the number that Freddy has.
The total is 136
<u>Formula</u>
Freddy = Total - Alex
Freddy = 136 - 51
Freddy = 85
<u>Check</u>
Let us see if 5/8 * 136 = 85
5*136/8 = 680 / 8 = 85 So your answers are correct.
Difference
Difference = 85 - 51 = 34 which is how many more stamps Freddy has than Alex.
Answer:
Width of rectangle = 6 meters
Step-by-step explanation:
Let
Width of rectangle = x
Length of rectangle = 3x-2
Perimeter of rectangle = 44 meters
We need to find:
The Width of rectangle.
The formula used is:

Putting values and finding value of x

So, we get the value of x = 6.
We know that Width of rectangle = x = 6
So, Width of rectangle = 6 meters