Number 4 is $35, hope i could help:)
Answer:
x = 9; y = 12; u = 24; v = 32
Step-by-step explanation:
The corresponding sides of similar triangles are in the same ratio to each other.
3/5 = (3 + x)/20 Multiply each side by 20
20×3/5 = 3 + x
12 = 3 + x Subtract 3 from each side
x = 9
=====
4/5 = (4 + y)/20 Multiply each side by 20
20×4/5 = 4 + y
16 = 4 + y Subtract 4 from each side
y = 12
=====
3/5 = (3 + x + u)/60 Multiply each side by 60
60×3/5 = 3 + x + u
36 = 3 + x + u Insert the value of x
36 = 3 + 9 + u
36 = 12 + u Subtract 12 from each side
u = 24
=====
4/5 = (4 + y + v)/60 Multiply each side by 60
60×4/5 = 4 + y + v
48 = 4 + y + v Insert the value of y
48 = 4 + 12 + v
48 = 16 + v Subtract 16 from each side
v = 32
x = 9; y = 12; u = 24; v = 32
Answer: 0.4
Step-by-step explanation:
We know that the standard deviation of the sampling distribution of mean is given by:-

Given : Standard deviation : 
Sample size : n= 25
Then, the standard deviation of the sampling distribution of mean times will be :-

Hence, the standard deviation of the sampling distribution of mean times=0.4
Answer:
<u>The numbers are 40 and 49</u>
Step-by-step explanation:
Smaller number = x
Larger number = y
Let's write our system of equations:
x + y = 89
3x = y + 71
***************************
x = 89 - y
Substituting x in the 2nd equation and solving for y:
3 (89 - y) = y + 71
267 - 3y = y + 71
-3y - y = 71 - 267 (Like terms)
-4y = - 196
y = -196/-4
y = 49
Solving for x in the 1st equation:
x + y = 89
x + 49 = 89
x = 89 - 49
x = 40
<u>The numbers are 40 and 49</u>
Hey there! :)
If the width is 10 ft and the farmer wants the length to be 3x the width:
Length = 3w
W = 10
10 × 3 = 30
The width is 10 ft and the length is 30 ft.
Remember: You have to find the perimeter
Perimeter = 2l + 2w
l = 30
30 × 2 = 60
w = 10
10 × 2 = 20
60 + 20 = 80
Your answer is 80 ft of fencing
Hope this helps :)