Answer:
Step-by-step explanation:
<u>Let the numbers are:</u>
- x, x + 1, x + 2, x + 3 and x + 4
- Their sum is 5x + 10
- Their mean is (5x + 10)/2 = x + 2
If we swap the digits on the largest number, the sum increases by 1 more than x + 2
<u>We are looking for the number x + 4 = ab such that:</u>
- ba - ab = ab - 2 + 1
- ba = 2ab - 1
- 10b + a = 2(10a + b) - 1
- 10b + a = 20a + 2b - 1
- 8b = 19a - 1
- 19a = 8b + 1
<u>By trial method we get the solution:</u>
<u>Since x + 4 = 37, the lowest number is:</u>
<u>Lets verify:</u>
<u>The sum is:</u>
<u>The mean is:</u>
<u>Change the largest number tp 73 and find the sum again:</u>
- 175 + (73 - 37) = 175 + 36 = 175 + 35 + 1
The sum has increased by 1 more than 35
Answer:
4(2y - 9)
Step-by-step explanation:
no it is not one x cannot have 2 y's.
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
Answer:
0.8
Step-by-step explanation:
7 1/5 - 6 2/5 = 0.8
