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:
1. makes two right triangles
2. not similar
3. similar, the bottom one is dilated by 3
Assuming that point s is the vertex of the angle and that line sq is between angle psr. We can get the correct measurement of angle psq by subtracting 99 degrees with the measurement of the angle made by qsr. Hope this helps. Have a nice day.
Answer:
<A =21
<B = 84
<c = 75
Step-by-step explanation:
<A =x
<B = 4x
<C =5x-30
The sum of A+B+C = 180
x+ 4x + 5x-30 = 180
Combine like terms
10x -30 = 180
Add 30 to each side
10x-30+30 = 180+30
10x = 210
Divide by 10
10x/10 = 210/10
x= 21
Since x =21 we can find the value of the angles
Substituting x into the equations for angles A, B and C
<A =21
<B = 4x = 4*21 = 84
<C = 5x-30 = 5*21-30 = 105-30 = 75
Answer:
-Exponential Decay
-Decay factor is (1-0.05)
Step-by-step explanation:
-Given that the number decreases by a defined rate each year from the initial size by 5%,
-This is an exponential decay function of the form:

Where:
is the quantity/size after time t
is the initial size
is the rate of decay
-Our function can the be written as

Hence, the decay rate/factor is 0.05
#Alternatively
The exponential decay can be of the form:

Where:
y is the size at time x, a is the initial size, x is time and b is the decay factor.
b is of the form 

Hence, the decay factor is (1-0.05)