5x+3÷4=7
5x+.75=7
-.75 -.75
5x = 6.25
divide by 5 on both sides
x= 1.25
please mark brainliest
Answer:
Algebra I believe
Step-by-step explanation:
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr
<h3>What is speed?</h3>
Speed is a scalar quantity that refers to "how fast an object is moving".
Given that, two buses leave a station at the same time and travel in opposite directions, one bus travels 15 km/h faster than the other, the two buses are 1004 kilometres apart after 4 hours,
Speed = distance/ time
Let the speed of the slower bus be v and the faster bus be (v+15)
According to the question,
vt + (v+15)t = 1004
vt + vt + 15t = 1004
t = 4
4v + 4v + 60 = 1004
8v = 944
v = 118
Hence, The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr
For more references on speed, click;
brainly.com/question/7359669
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Based on your distance from the state border and the cruise control speed, the minimum and maximum hours you will have cruise control on is:
- Minimum - 1/3 hours
- Maximum - 1.5 hours
<h3>How long will cruise control be on?</h3>
You are 55 miles from the state border. You want to put the cruise control off within 35 miles of the border on either side.
This means that you might put it off in:
= 55 - 35
= 20 miles
The time to 20 miles is the minimum time the cruise control will be on:
= 20 miles / 60 miles per hour
= 1/3 hours
If you put it off 35 miles after the border, the distance is:
= 55 + 35
= 90 miles
The maximum time is:
= 90 / 60
= 1.5 hours
Find out more on time and distance at brainly.com/question/17146782
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