First bring all the x's to one side.
then subtract them.
then divide 24 by 3 to get the x alone and get your answer.
11x-8x=24
3x=24
x=8
Answer:x=-20 y=4
Step-by-step explanation:
Answer:
The correct answer is option 3.
Step-by-step explanation:
Given : ΔPQR, QM is altitude of the triangle
PM = 8
MR = 18
To find = QM
Solution :
PR = 8 + 18 = 26
Let, PQ = x , QR = y, QM = z
Applying Pythagoras Theorem in ΔPQR
..[1]
Applying Pythagoras Theorem in ΔPQM
..[2]
Applying Pythagoras Theorem in ΔQMR
..[3]
Putting values of 
and 
from [2] and [3 in [1].
z = ±12
z = 12 = QM ( ignoring negative value)
The length of QM is 12.
Answer:
Step-by-step explanation:
At Greg's Gas Station premium gasoline costs $0.14 more per gallon than regular gasoline .
Let the cost of regular gasoline be $x per gallon, then the cost of premium gasoline per gallon will be x + 0.14
If Mr. Adams spent $36.25 on 12.5 gallons of regular gasoline, it means that 12.5x = 36.25
x = 36.25/12.5 = $2.9
The cost of regular gasoline is $2.9 per gallon
Therefore, cost of premium gasoline per gallon will be 2.9+ 0.14 = 3.04
if he bought 12.5 gallons of premium gasoline instead, he would have paid
12.5× 3.04 = $38
The amount that he would have spent more will be
38 - 36.25 = $1.75
Answer:
- |t -(-5)| = 1.5
- [-6.5, -3.5] = [minimum, maximum]
Step-by-step explanation:
The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:
|t -(-5)| = 1.5
This is equivalent to two equations:
In each case, the equation is solved by subtracting 5 from both sides:
- t = -6.5 . . . . minimum allowed temperature
- t = -3.5 . . . . maximum allowed temperature
