|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
Answer:
The larger number is 69 and the smaller number is 35.
Step-by-step explanation:
Find the equations. Here x will be the larger number and y will be the smaller number.
x + y = 104
x = 2y -1
Substitute:
(2y -1) + y = 104
3y = 105
y = 35
x = 2(35) - 1
x = 70 - 1
x = 69
The larger number is 69 and the smaller number is 35.
3s + 4j = 360
1s + 3j = 220
This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).
Now substitute into the first equation:
3(220 - 3j) + 4j = 360. Solve for jackets.
660 - 9j + 4j = 360 [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.
Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s = 40
Now we double check.
3(40) + 4 (60) = 120 + 240 = 360. This satisfies the first equation.
We could check the second one too, but I'm satisfied.
Answer:
Mean = 15.83 hours
Median = 17 hours
Step-by-step explanation:
The first step to follow when dealing with data distributions is to arrange the data in either an ascending or descending order.
Once this is done, we have the responses as
responses: 9. 14, 16, 18, 19, 19
The mean of the distribution can be obtained by dividing the total sum of the values, by the number of respondents.
this is 
The mean of the distribution is 15.83 hours
The median is obtained by picking out the middle number of the distribution. However, our distribution is even, and hence has two middle numbers. To solve this , we simply add the two numbers and divide by 2
= (16 + 18 )/2 = 34/2 = 17
Answer:
60
Step-by-step explanation:
