The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.
<h3>Solving steps for the Equation</h3>
The equation to be considered as given in the task content is; -2(5x+8)=14+6x.
It follows from the task content that the steps for solving the equation are as follows;
-2(5x+8) = 14+6x
- Step 1: opening parenthesis
-10x - 16 = 14 + 6x
- Step 2: collect like terms
-10x - 6x = 14 + 16
-16x = 30
x = 30/-16
x = -15/8
Hence, the value of x upon solving the equation is; -15/8.
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Answer:
Mr Jackson should get $8.88 back.
Step-by-step explanation:
$50 - $41.12 = $8.88
Answer:
The number of students in each van = 14
The number of students in each bus = 43
Step-by-step explanation:
Let the number of students that can fill a van be v.
Let the number of students that can fill a bus be b.
The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.
13 vans will have (13v) students
9 buses will have (9b) students
13v + 9b = 569
High School B rented and filled 14 vans and 3 buses with 325 students
14 vans will have (14v) students.
3 buses will have (3b) students.
14v + 3b = 325
Combining these two simultaneous equations
13v + 9b = 569
14v + 3b = 325
Solving simultaneously,
v = 14 students.
b = 43 students.
Hope this Helps!!!
Break up chain with AND statement:
(2/3)t - 1 < t + 7 AND <span>t + 7 ≤ -2t + 15
left side, we solve for t
</span>
<span>(2/3)t - 1 < t + 7
(2/3)t - t < 7 + 1
(-1/3)t < 8
t > -24
right side, we solve for t</span>
<span>t + 7 ≤ -2t + 15
t + 2t </span><span>≤ 15 - 7
3t </span><span>≤ 8
t </span><span>≤ 8/3
So our answer would be </span>
t > -24 AND t <span>≤ 8/3
as an interval, this is
</span>-24 < t <span>≤ 8/3
or in interval notation
(-24, 8/3]</span>
