Answer:
<em>$4.15</em>
Step-by-step explanation:
Let the cost of a cheeseburger be x
Let the cost of a soft pretzels be y
If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;
x + 2y = 8.25 .... 1
Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;
3x + y = 13. 50..... 2
The required equations are:
x + 2y = 8.25
3x + y = 13. 50
Find x and y by solving simultaneously:
From 1: x + 2y = 8.25
x = 8.25 - 2y ..... 3
Substitute 3 into 2
3(8.25-2y)+y = 13.50
24.75 - 6y+y = 13.50
24.75 - 5y = 13.50
-5y = 14.50 - 24.75
-5 y = 10.25
y = -10.25/-5
y = 2.05
Since x = 8.25 - 2y
x = 8.25 - 2(2.05)
x = 8.25 - 4.1
x = 4.15
<em>Hence the cost of a cheesburger is $4.15</em>
Answer:
The total of ways the buildings can be painted are = 4 
3 2 2 1 = 48 ways.
Step-by-step explanation:
i) color five buildings that are in a row.
ii) any two neighboring buildings must be different colors
iii) the first third and fifth buildings must be different colors.
iv) the number of ways to paint the fist building are 4.
v) the number of ways to paint the second building are 3.
vi) the number of ways to paint the third building are 2.
vii) the number of ways to paint the fourth building are 2.
viii) the number of ways to paint the last building are 1.
ix) therefore the total of ways the buildings can be painted are
= 4 3 2 2 1 = 48 ways.
Answer:
y = 6/5x - 2 (or y = 1.2x - 2)
Step-by-step explanation:
To find the slope-intercept form ( = mx + b) you need to rearrange the equation of the line:
Step 1 - Add 18x to both sides
15y = 18x - 30
Step 2 - Divide both sides by 15.
y = 6/5x - 2
Scientific notation can be scary but it really is simple
the exponent after the 10 is how many places you move the decimal. If it is positive you move it right, if it negative you move it left
2 x 10^2 means you move the decimal place right twice to make 200
4 x 10^-3 means you move the decimal place left three times to make .004
The question is asking you to multiply 900000 and .0000006
Answer:
509.35 feet
Step-by-step explanation:
16°23' means 16 degrees and 23 minutes. A minute is 1/60 of a degree.
16°23' = 16 + (23/60) = 16.383°
Similarly:
49°29' = 49 + (29/60) = 49.483°
When the boat is first noticed:
tan(16.383°) = 200 / a
a = 200 / tan(16.383°)
a = 680.27
When the boat stops:
tan(49.483°) = 200 / b
b = 200 / tan(49.483°)
b = 170.92
So the difference is:
a − b = 680.27 − 170.92 = 509.35
The boat traveled 509.35 feet from the time it was first noticed to the time it stopped.
